Structurally restricted phase transitions in VO2(B) and
their impact on transport properties
Srinivasa Rao Popuri Popuri, Alla Artemenko, Rodolphe Decourt, Michaël
Josse, U-Chan Chung Seu, Dominique Michau, Mario Maglione, Antoine
Villesuzanne, Michaël Pollet
To cite this version:
Srinivasa Rao Popuri Popuri, Alla Artemenko, Rodolphe Decourt, Michaël Josse, U-Chan Chung Seu,
et al.. Structurally restricted phase transitions in VO2(B) and their impact on transport properties.
Journal of Physical Chemistry C, 2015, 119 (44), pp.25085-25092. 10.1021/acs.jpcc.5b07826. hal01225684
HAL Id: hal-01225684
https://hal.science/hal-01225684
Submitted on 27 Jan 2021
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Structurally Restricted Phase Transitions in VO2(B) and
Their Impact on Transport Properties
S. R. Popuri†‡§, A. Artemenko†‡, R. Decourt†‡, M. Josse†‡, U. C. Chung†‡, D. Michau†‡, M.
Miclau§, M. Maglione†‡, A. Villesuzanne†‡ and M. Pollet†‡*
†
‡
§
CNRS, ICMCB, UPR 9048, F-33600 Pessac, France
Univ. Bordeaux, ICMCB, UPR 9048, F-33600 Pessac, France
INCEMC, Plautius Andronescu 1, 300224, Timisoara, Romania
IREET, University of Bolton, Bolton, BL3 5AB, United Kingdom
*Corresponding author: pollet@icmcb-bordeaux.cnrs.fr
We have overcome the challenge associated with the low irreversible phase transition
temperature of VO2 (B) by using spark plasma sintering to obtain samples appropriate for
reliable transport property measurements. All our data, transport, magnetic and thermal,
converge in favor of a multiphasic system in which a low temperature phase (insulating and
magnetically ordered), an intermediate temperature phase (insulating), and a high temperature
phase (presumably metallic with strong electron correlations), coexist. The coexistence
domain for the three phases is broad and extends over ca 60 K around 235 K. The low
temperature phase is always associated to, at least, another phase and becomes dominant
below 200 K. The high temperature phase is present over the full temperature range and exists
alone above room temperature.
Keywords: VO2, Structure-property relationships, Phase transitions, Metal-insulator
transitions, Electron correlations
1.
Introduction
Vanadium oxides display an exceptionally rich variety of structures with vanadium ions in
different oxidation states (3d0, 3d1, 3d2, and even 3d3).1 They often exhibit a complex
interplay between charge, spin, and orbital degrees of freedom that generally induces strong
correlations, leading to remarkable electric and magnetic properties. This is particularly
obvious in the case of the several VO2 polytypes2 that display more or less sharp change in
their electronic behavior with temperature. VO2 (R/M1) in particular received considerable
attention over the last few decades because of its bistable switching near room temperature
(RT) between an insulating state (low temperature (LT) monoclinic M1 phase with dimerized
vanadium pairs and alternating V-V distances of 2.65 and 3.12 Å) and a metallic state (high
temperature (HT) tetragonal R rutile phase with uniform V–V distances of 2.85 Å).3 At the
metal-insulator transition (MIT), the resistivity varies over several orders of magnitude, which
is likely to lead to important technological applications;4 in addition, the specifically fast
switching of this system makes it a potential candidate for diverse optical as well as electrical
switching applications.5,6 The metastable VO2 (B) polymorph was also proposed to exhibit
such structural transition and a MIT near RT.7,8 From the crystal structure perspective, VO2
(B) is quite different from VO2 (R/M1) although some similarities can be observed: while
VO2 (R/M1) shows an interconnection (via corner sharing VO6 octahedra) of 1D linear and
packed substructures (edge sharing VO6 octahedra) conducive to pure bonding and to a
Peierls state at LT, VO2 (B) is a stack (also via corner sharing VO6 octahedra) of more
complex and diffuse 2D blocks (also based on edge sharing VO6 octahedra). The unit cell is
monoclinic (C2/m; Z=4) and contains two vanadium sites labeled V1 and V2 in close
distorted octahedral coordination; both cations are off-centered what results in a low local
symmetry (CS in Schoenflies notation) and very different metal-oxygen and metal-metal
distances, as shown in Fig. 1. In each block, VO6 octahedra share edges either in (ac) plan for
V2 cations (short green bonds at 2.896Å in Fig. 1, i.e. less than 2% longer than the V-V bond
3
in VO2 (R) (2.85Å) ) or in (bc) plan for V1 cations with zigzag chains along [010] (long red
bonds -3.331Å-); whenever V1 and V2 share their oxygen environment, the sharing is either
in (ac) plan (long orange bonds -3.239Å-) or in (ab) plan with zigzag chains along [010]
(medium blue bonds -3.058Å-); in addition, oxygen octahedra around V2 are share corners in
the [010] direction.
VO2 (B) polymorph was significantly investigated as an electrode material in rechargeable
aqueous lithium ion batteries, due to its promising electrochemical properties, but inconsistent
reports were given in terms of magnetic properties.9,10,11 In addition, although it was
discovered nearly four decades ago, studies on its electrical transport properties are limited to
some observations of its semiconducting behavior from current-voltage characteristics and
resistivity measurements performed on pressed pellets and drops of suspension dried on a
wafer.8,12,13 Indeed, a major challenge for accessing its intrinsic transport properties is
associated with its irreversible transformation into the VO2 (R) polymorph at 500oC, which
hinders the sintering and prevents from a sufficient consolidation of the material.2 In this
article we present the electronic transport properties of VO2 (B) pellets consolidated using
spark plasma sintering (SPS); we also revisit its magnetic properties that we finally correlate
with its structural properties, based on the present knowledge of the VO2 (R/M1) system.
2.
Experimental details
Plate-like VO2 (B) particles with average coherence length ca. 65 nm were prepared at 493 K
for 2 hr using a hydrothermal process from precursors V2O5 and citric acid. For preparation of
polycrystalline VO2 (M1), appropriate stoichiometric amounts of high-purity V2O3 and V2O5
were sealed in evacuated quartz tube and slowly heated to 750 °C and then held there for 48
h. X-ray Powder diffraction (XRPD) patterns were recorded using a PANalytical X’Pert PRO
MPD diffractometer with Cu Kα1 radiation and analyzed by Rietveld method using the
FullProf suite.14 The morphology of the products was examined by a field emission scanning
electron microscope (FESEM, JEOL JSM-6300F, 15kV): energy dispersive X-ray
spectroscopy (EDX) coupled to the FESEM was used to check for the chemical content and
the homogeneity of the products. Electron paramagnetic resonance (EPR) experiments were
performed at 9.4 GHz with a standard 3 cm wavelength Bruker spectrometer; an Oxford
Instrument ESR 900 cryosystem allowed operating at temperatures from 4 to 300 K. The
powder samples were densified using SPS technique (SINTER® LAB Series; SPS-511S); the
powder was loaded into a carbon die and heated up to 523 K with a heating rate of 100 K/min
under a pressure of 90 MPa; after dwelling 5 min, the pressure was released and the sample
was cooled down to RT. Before proceeding to the transport characterizations, the quality of
the pellets after the SPS treatment was thoroughly checked. The electric dc resistivity - fourprobe method - and the Seebeck coefficient were measured in the 4-300 K range with
homemade equipment.15 Capacitance and dielectric losses were measured as a function of
temperature from RT down to 10 K, using a HP4194A impedance bridge in the frequency
range 1 kHz–1 MHz, using a homemade sample holder in a Quantum Design physical
properties measurement system (PPMS®).16 The measurements of magnetic properties and
specific heat were carried out on powder samples using Quantum Design magnetic property
measurement system (MPMS®) and PPMS®, respectively.
3.
Results
The overall quality of the VO2 (B) powder samples was checked using XRPD experiments as
well as infrared spectroscopy studies (not shown) to discard from any hydration of the
samples.2 The RT profile refinements agree with previous reports with an indexation
matching space group C2/m and cell parameters a=12.0417 (3) Å, b=3.6892 (8) Å, c=6.4312
(2) Å and =106.965 (2)º; no extra peaks or peak splitting could be detected (Figure 2a).2
After the SPS treatment, the final density of the pellet is ca. 80%; the transport properties
reported hereafter can thus be tarnished with the low density of the pellet; however, we
believe that the observed global trends account for some reliable intrinsic features of the
compound. Surface XRPD measurements carried out on the pellets confirmed the presence of
VO2 (B) only (Figure 2a). SEM images of powders before SPS and the cross-sectional view
of a SPS-elaborated pellet are shown in Figs. 2a and 2b, respectively. They account for the
densification of the sample and the retention of the plate-like morphology of the particles after
sintering.
The macroscopic magnetic measurements results are shown in Fig. 3; several distinct regimes
are displayed, as already reported.7 As compared to previous reports however, our results
(recorded at low speed in settle mode at about 10 K/hr), clearly evidence a second soft
maximum at ca 230 K (hollow in the insert showing 1/M) leading globally to a soft regime
between 220 K and 280 K, where the magnetization magnitude barely changes. The existence
of these several regimes is related to the coexistence -over a large temperature domain far
beyond the mean transition temperature- of several phases, as shown by Oka et al.7 with
paramagnetic vanadium ions in a HT phase and the formation of non-magnetic V-V pairs
(spin singlets) in a LT phase; furthermore, at lower temperatures, the magnetic susceptibility
seems to saturate what could be ascribed to the ordering of some free spins. Our results also
reflect the progressive nature of the structural transition which gradually occurs over a wide
temperature range. Similar observations were made in the case of the VO2 (A) polymorph,
signing the different nature or origin of the transition in these polymorphs as compared to
VO2 (M1), which displays a quite sharp transition.17
Both the low (25-200 K) and high (320-350 K) temperature regions of the magnetic
susceptibility can be modeled with a Curie–Weiss law and a temperature independent term,
7
. Using the phase proportion pLT reported by Oka et al. for the
i.e.
LT phase (bottom panel in Fig. 2;
as reported), we can propose a model to the
magnetization as
(values given in Table 1); this model is plotted as a green dashed line in Fig. 3. As expected, it
matches with both the LT and HT data (from 25 K to 200 K and from 280 K to 350 K,
respectively) but the intermediate temperature (IT) region is not accounted for. The Curie
constant for the HT phase matches with 100% free spin for the V4+ 3d1 cation; the interactions
are antiferromagnetic as expected from unpaired vanadium cations; the constant term is
purely diamagnetic and close to the value determined from the contributions of the atomic
cores (-30 10-6 emu/mole). At LT, the Curie constant decreases dramatically and represents
only 12% of the contribution expected from a V4+ 3d1 cation (i.e. a value coinciding with the
contribution of only one cation over the eight present in the unit cell); the interactions are
weakly ferromagnetic in agreement with the observation of the magnetization saturation at
very LT; the order of magnitude of the temperature independent term is consistent with the
values reported for VO2 (M1) (
) and VO2 (M2) (
).18
The difference between the full data set and this simple model actually shows an asymmetric
peak in the magnetization, centered at ca 225 K and of width at half maximum of about 30 K.
This excess magnetization can be accounted for, assuming the transient presence of an
intermediate phase obeying a simple Curie law (see the bottom panel in Fig. 3 with a
Gaussian peak centered at 233 K and a standard deviation of 14 K). The temperature domain
involved is small what makes the correlation between the Curie constant and the phase
proportion quite important. We could obtain a good fit to the data with a maximum proportion
of this phase at ca 12% and C=0.1875; this latter value corresponds to 50% of the
contribution expected from a V4+ 3d1 cation, i.e. the contribution of half the cations in the unit
cell. Keeping in mind that V2-V2 distances are quite short (2.895 Å) at HT (almost like in
VO2 (R)) while all others exceed 3Å, such result sounds reasonable and can be explained with
an intermediate regime where only V2 cations strongly interact to form spin singlets while
leaving free the electron spins on V1 cations. As the temperature decreases, the proportion of
the intermediate phase decreases as it feeds the LT phase. We further note the presence of a
small hysteresis between FC and ZFC regimes in the IT region; this indicates the probable
presence of antiferromagnetic interactions and the ordering between V1 electrons (long zigzag
chains in about (bc) plan; red bonds in Fig. 1) and/or V1 and V2 electrons (shorter zigzag
chains in (ab) plan; blue bonds in Fig. 1) which results in the observed decrease of the Curie
constant in the LT phase.
Results of X-band EPR measurements carried out on the powder sample across the transition
from 180 K to RT are shown in Fig. 4. All spectra below RT consist of a very weak hyperfine
structure superimposed on a broad resonance line. The set of hyperfine lines comes from
isolated V4+ ions and is due to the dipole–dipole interaction between the nucleus magnetic
moment (nuclear spin for 51V isotope I = 7/2) and the unpaired electron moment (S = 1/2 for a
V4+ ion). It is present on the full temperature range below RT and accounts for the presence of
localized carriers in the sample. The broad resonance line is more likely due to spin–spin
exchange interactions and can result from interacting V-V pairs as well as interacting
electrons on isolated V cations. Its intensity barely changes between about 230 and 280 K but
it increases below ca 230 K and fast drops above 280 K; this observation agrees with the
macroscopic magnetic measurements discussed above and suggests a strong weakening of the
interactions at HT and a two-steps setting up below RT with, first, short range interactions
down to 230 K and then a final bolting with the onset of longer range interactions. The
absence of signal at RT may indicate the presence of delocalized charges only.
Heat capacity measurements recorded with and without applied magnetic field are shown in
Fig. 5, as well as the difference curve. No clear anomaly marking a transition could be seen
from the data sets. Satisfactory global fits to the data (for the whole temperature range) could
be obtained assuming two Debye contributions, a Sommerfeld term and a small Schottky
contribution (about 10% of the HT phase contribution; (see below) probably resulting from
the crystal field splitting of the ground state level (3 and 2 non degenerated levels at 0 and
9 T, respectively); in both cases, the oscillators sum was constrained at 3, i.e. the number of
atoms per formula unit. The fit at 0 T shows a clear deviation from the data at ca 235 K while
the fit at 9 T follows the data set on the full temperature range. In both cases, the respective
proportions of oscillators are about 0.25/0.75 for the first and the second Debye contribution.
7
These values are, in essence, quite close to the proportions 0.31/0.69 reported by Oka and
used to fit our magnetic data (see above). However, all our attempts to fit the heat capacity
data using the same kind of model, i.e. taking into account the proportions of the different
phases, failed; this can be related to both the slow rate of the measurements and the nonconstant conditions during the data acquisition (uneven relaxation time) that affects the
dynamic of the system; in addition, the use of a secondary vacuum during the experiment can
shift the overall LT to HT phase transition to higher temperatures and modify the phase ratio.
Assuming that the proportion of oscillators relates to the different phases, the Debye
temperature (D) for the LT phase is 850 K and is independent on the magnetic field, while it
is much lower for the HT phase (D=335 K without applied magnetic field) and is slightly
dependent on the magnetic field (-21 K with 9 T). Such a decrease of the D across the
transition is in agreement with the available results on the rutile polymorph with ca 650 K at
LT (VO2 (M1)) and ca 450 K at HT (VO2 (R)) determined from thermal displacements
observed in X-ray measurements.19 It is also in agreement with the classical view of a lower
D for more metallic structures, what can indeed be expected for the HT phase in an electrons
delocalized picture in the MIT assumption; to this extend, it also highlights a strong
localization of the carriers as the temperature decreases; The calculated Sommerfeld
coefficients are ca 7 and 19 mJ/mol.K2 without and with magnetic field respectively. Keeping
the LT electrons localized picture (
), one should assume that it entirely arises from the
HT phase which represents about one fourth of the LT contribution to the heat capacity; in
other words, after rescaling to the HT phase proportion, the Sommerfeld coefficient actually
reaches ca 27 and 79 mJ/mol.K2 without and with magnetic field respectively, indicating both
quite strong electron correlations in the HT phase and a non-negligible effect of the magnetic
field.
The difference curve in Fig. 5 is quite noisy as it includes the noise of both the high and zero
magnetic field data; however, two distinct regimes are visible below and above 233 K. In
addition to this, several other anomalies are also visible at lower temperature such as ca 77 K
and 200 K. However, it becomes very speculative to discuss them as the signal to noise ratio
increases when the temperature decreases; the biggest anomaly at ca 77 K could for instance
be related to nitrogen condensation. Both regimes globally follow a linear trend. At LT, the
slope is about 11 mJ/mol.K2, i.e. roughly the difference in the Sommerfeld coefficients
discussed above. At HT, above 233 K (when the fit at 0 T departs from the data), the slope is
about 81 mJ/mol.K2 and denotes strong interactions. Following the discussion above, it
sounds reasonable to propose that this temperature domain coincides with the region when an
intermediate phase exists with only interacting V2 pairs but strong spin interactions between
other vanadium electrons; the temperature for the crossover, 233 K, actually remarkably
matches with the center of the distribution used to fit the magnetic data in the intermediate
region; in addition, the anomaly at 200 K coincides with both the first decrease in LT phase
and the increase of the HT phase as well as the appearance of the first significant traces of
intermediate phase (bottom panel in Fig. 3).
DC transport properties are shown in Fig. 6; data only down to 80 K for the electrical
resistivity and 120 K for the Seebeck coefficient are available because the samples become
too resistive at lower temperature. The resistivity decreases with increasing temperature
evidencing a semiconducting behavior; at 290 K, ρ=45 .cm is about 5 times lower than
previously reported values on compacted powders.8 No clear anomaly is directly visible on
the raw data sets. The resistivity data can be modeled using Mott’s law20
with W the hopping energy, R the
where
hopping distance,
the localization length and where
scales as phonon frequency
depends on the phonon spectrum and
. The refined values are
and
using the exponent n=3. This suggests a strong localization picture and
conduction via a variable range hopping mechanism. The exponent in Mott’s law is often used
as a criterion for the dimensionality of the mechanism. Here, the quality of the fits (not
shown) remains unaltered on using either n=3 or n=4, i.e. a 2D or a 3D model. This drawback
can easily be explained with the low density of the pellets which obviously impacts the
measurements. Leaving out this argument, the 2D model obviously agrees better with the
layered structure of VO2 (B) (Fig. 1) and a favored conduction in the (ab) plan. Any deeper
interpretation of the model constants should reasonably be discarded as they relate to the
material and not to the compound itself; in particular, the metallic picture given above for the
HT phase does not match with a variable range hopping-type mechanism. The difference
curves between the data and the fits are actually more informative (insert in Fig. 6). They
highlight some deviation to the mean behavior of the material (given by Mott’s law) and
reveal several anomalies with characteristic temperatures at i) 140 K for the initial departure
from the mean behavior and ii) ca 205, 235 and 265 K matching the anomaly temperature
values reported above, which confirms the quality of VO2 (B) pellets (the temperature for the
anomaly at ca 205 K is actually 200 K upon cooling and 210 K upon heating). The Seebeck
coefficient decreases with temperature and its magnitude, up to about 100 µV/K at 150 K, is
in agreement with the global semiconducting behavior of the material. The change of sign at
235 K during cooling and 237 K during heating indicates a change in the dominant charge
carriers, from holes at LT to electrons at HT. The derivative curves show several regime
changes with the characteristic temperature already mentioned at ca 140, 200, 235 and 265 K
(here again, we note a small hysteresis for the change at ca 200 K). Although the Seebeck
coefficient is believed to be less affected by the density of the material, the presence of a
possible metallic regime at HT (only few tenth µV/K with a linear domain vs. temperature)
remains speculative and HT data on denser samples are needed to definitely conclude from
such measurements.
The evolution of the capacitance with the temperature and frequency is shown in Fig. 7 for a
cooling rate of 1 K/min. At 1 kHz, it is continuously decreasing from RT down to 203 K
where it abruptly drops and finally continuously decreases down to 5 K; on heating with the
same rate (not shown), it increases up to 211 K where it jumps (with the same magnitude than
the drop during cooling) and then it again increases up to RT. The dielectric losses follow the
same trend with drop/jump at the same temperatures but they are roughly constant at HT
(tg≈200) while they are continuously decreasing below the discontinuity to reach tg≈0.01 at
5 K. Both the high capacitance and high dielectric losses at HT sign long range mobility while
the lower capacitance and low dielectric losses at LT indicate the presence of localized
carriers. The increase in the frequency makes the capacitance as well as the dielectric losses
fall and progressively cancels the discontinuity, as shown in the first insert in Fig. 7; at ca
10 kHz, the discontinuity is no longer measurable. The second insert in Fig. 7 shows a log-log
plot of the magnitude of the jump in the capacitance vs frequency; it highlights the strong
effect of the frequency, a power law evolution but also a non-classical conduction mechanism.
Indeed, in the case of a classical conduction mechanism, one should expect a 1/f dependence
of the jump/drop at the transition; however, whatever the heating/cooling rate, the
discontinuity scales here like 1/f 2, suggesting a more complex mechanism. In addition, the
hysteresis width strongly depends upon the temperature rate used on cycling the
measurement: using a slow rate of 1 K/min, the width reaches 8 K while at 7 K/min, it
reaches 81 K; in both cases the center of the hysteresis loop is at ca 207 K. Such broad
evolution of the magnitude of the hysteresis width with the temperature rate indicates slow
dynamics of the mechanism implied in the transition and rules out an electronic-only process.
Possible scenarios include, for instance, electron-lattice interactions or electron trapping on
point defects. Taking into account the details of the structure and the behavior of the parent
rutile polymorph, it is more likely to envisage the transfer of both electronic and elastic
energies.
Fig. 8 shows normalized Nyquist diagrams as a function of temperature; the impedance
modulus ranges from 102 at RT to 108 at 5 K and a normalization (
where
) was used to fit
the full data range in a single plot and highlight the several regimes; full scales examples are
displayed on the sides of the plot. At HT, the low frequency tail indicates extrinsic features
and signs some delocalization of the carriers. On the other hand, the LT behavior below ca
237 K is typical of localized carriers. From ca 237 K down to 205 K, a small low frequency
inductive loop is visible; although it is generally attributed to some adsorption process at the
electrode surface, it could also be due to some stray capacitance artifact.21 The latter option is
actually compatible both with the high impedance and low capacitance range in this
temperature domain, and with the transition regime from a more delocalized HT state to a
localized LT state. Below 205 K and down to about 140 K, most of the diagram can be
modeled with a single RC arc.
As a summary of all this set of data, we note that the gradual change in electrical conductivity
and thermal properties which occurs in the vicinity of 200K has a well define impact on
magnetic and dielectric properties. This definitely links the electronic mobility to a
transformation of the lattice spins and polarizability. Below, we discuss the possible
mechanisms of these evolutions.
4. Discussion and conclusions
Though the MIT transition in VO2 (B) might obey similar mechanisms than in the other
polymorphs, the properties evolution is much smoother. The details of VO2 (B) crystal
structure are quite different and prevent from an abrupt change alike the one observed for the
transition from VO2 (M1) to VO2 (R). In particular, unlike the case of VO2 (M1) or even VO2
(A) polymorphs, in which an obvious Peierls pairing can occur in the linear or zig-zag chains,
the structure of the VO2 (B) polymorph is more constrained and is unlikely to offer the
possibility of long range pairing although all the basic ingredients are present (d1 state, “short”
distances, AFM interactions). The shortest V2-V2 bond is separated by two (short and long)
pairs and only a strong structural rearrangement would lead to a Peierls state. All the
experimental results given above agree with the presence of several regimes below RT.
Several properties could be modeled or explained assuming the coexistence over a wide range
of temperature of a low, an intermediate and a HT phase. For the HT phase, transport
measurements (Seebeck coefficient, AC data) as well as thermal (Debye temperature) and
structural (short V-V distances) parameters strongly suggest a long range mobility associated
to delocalized electrons (EPR, negative Seebeck coefficient) most probably spin polarized
(Curie-like magnetization and magnitude of the magnetic field-dependent Sommerfeld
coefficient which signs the presence of strongly correlated electrons22); no direct proof of a
strict metallicity (ρ∝T) could be obtained because of the low density of the pellets; however,
all results converge in this direction. This indicates that the HT phase of VO2 (B) would
follow closely the behavior of VO2 (R); the structural data suggest an easy-plane (ab)
conduction, although an easy conduction path along the zigzag chains cannot be fully
discarded. According to Goodenough23 the critical cation-cation separation below which an
overlap of the neighboring cationic t2g orbitals occurs and leads to itinerant electrons is 2.94 Å
for vanadium oxides; if the nearest neighbor V–V distance along any particular direction is
greater than 2.94 Å, one can expect d electrons to be localized at individual V ions, resulting
in an insulating state; otherwise delocalization of the charge can lead to a metallic behavior.
From DC transport measurements, the HT phase dominates down to ca 265 K; such critical
temperature agrees both with the EPR data (the signal vanishes for T>280 K) and the
magnetization model (about 85% of HT phase at 265 K). In the IT region centered at about
235 K and extending roughly over 60 K, the magnetization data can be explained assuming
the existence of an intermediate phase in which half of the spins are frozen. From the
structural point of view, and as compared to the archetypal transition VO2 (R) to VO2 (M1),
such a situation can easily be explained assuming that the close V2 cations pair off to form
spin singlets. This picture is in agreement with the EPR results (breaking of the long range
mobility and appearance of localized spins), the heat capacity data (drop in the Sommerfeld
coefficient indicating the loss of correlations), Seebeck coefficient measurements (change of
dominant carriers) and conductivity results (anomalies on AC and DC curves).
The LT phase appears at about 300 K and becomes dominant at about 200 K;
however, from previous report and our results, it is never found alone. Within the models used
in this article, its maximum proportion is estimated between 69% and 75%. Note that the
value of 69% used to model the magnetization data is the one reported by Oka7, and that a
small deviation to this value is possible while keeping the overall quality of the model; such
small tuning of
only slightly impacts on the refined parameters and does not change the
conclusions. The LT phase is marked with a strong localization (magnitude of transport
properties, higher Debye temperature and zero Sommerfeld coefficient), a non-classical
conduction mechanism (1/f 2 scaling of the discontinuity in AC transport measurements) and
antiferromagnetic interactions (from EPR and magnetization data). It is worth noting that the
system may undergo several other transitions at lower temperature. Indeed, resistivity curves,
both AC and DC, display anomalies at about 140 K and the magnetization data clearly show
an inflection of the curve at LT, likely marking a ferromagnetic ordering. The latter is
compatible with the nature of the interactions of the LT phase (positive Curie-Weiss
temperature) however, the origin of the anomaly at 140 K is unclear and could arise from
either the low or HT phase (no trace of the intermediate phase is visible at this temperature).
Acknowledgments
The authors gratefully acknowledge the assistance of I. Bucur (INCEMC), A. Brull
(ICMCB), S. Gomez (ICMCB), O. Nguyen (ICMCB) and S. Fourcade (ICMCB) during some
of the characterizations. S.R.P., M.M., A.V., M.P. and A.A. gratefully acknowledge financial
support from European Community’s Marie Curie Initial Training Network (ITN) 7th
Framework Programme - SOPRANO FP7/ 2007-2013 (Grant Agreement No. 214040) and
European Community’s Marie Curie Incoming International Fellowship (IIF) 7th Framework
Programme - EPREXINA FP7/2007-2013 (Grant Agreement No. 255662) respectively.
Notes and references
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J. B. Goodenough, J. Solid State Chem., 1971, 3, 490.
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Table 1: Parameters adjusted to fit the magnetization data. : Curie constant with into brackets the
percentage of a half spin; : Curie-Weiss temperature; : temperature independent term.
(% S1/2)
(K)
(emu/mole)
LT phase
0.045 (12%)
11.3
213.10-6
IT phase
0.1875 (50%)
-
-
HT phase
0.375 (100%)
-308
-47.10-6
Table 2: parameters used to fit the heat capacity data recorded at 0 T and 9 T; Debye 1&2 with N:
number of oscillators; D: Debye temperature; : Sommerfeld coefficient; : Energy term and its
proportion ‘n’ for the Schottky contribution.
Magnetic
Field
0T
9T
Debye 1
D (K)
0.79
335
0.73
314
N
Debye 2
N
D (K)
2.21
850
2.27
851
(mJ/mol.K2)
7.15
19.2
Schottky
n
(K)
10/27 0.027
15
0.024
Figure 1. 3D sketch of VO2 (B) crystal structure at 300 K. Vanadium ions are shown as orange (V1)
and brown (V2) spheres; small red spheres represent oxygen ions. V-V bond lengths are also given for
the several possible close pairs and are identified with different colors.
c
V1
V2
3.239Å
2.896Å
V2
a
3.331Å
3.058Å V
1
b
Figure 2. (a) XRPD patterns of as synthesized VO2 (B) platelets, on the surface of SPS treated pellets
and as synthesized VO2 (M1). SEM overview morphology images of (b) as-synthesized VO2 (B) platelike crystals prepared using hydrothermal process at 493 K for 2 hr (as described in the text) and (c)
cross-sectional overview of a pellet obtained by SPS under 523 K - 90 MPa conditions.
(b)
(c)
Figure 3. Temperature dependence of the magnetic susceptibility in zero field-cooled (ZFC, circles)
and field-cooled (FC, triangles) regimes recorded in DC field H=1000 Oe. The bottom panel is a plot
of the phase proportion used in the fit: the blue dashedline represents the LT phase proportion
following the results of Oka et al. (Ref. 7, black circles); the green dottedline represents the proportion
of an intermediate temperature region phase (zeroed if not used); the red line represents the high
temperature phase proportion. The fits to the magnetization include either the low and high
temperature phases only (green dashed line) or the low and high temperature phases plus an
intermediate regime as discussed in the text (red line). The top right insert (∝
) zooms in the
intermediate temperature region.
Figure 4. Experimental X-band EPR spectra of VO2 (B) recorded from 180 K to RT. Colors (red at
300 K; green from 280 to 240 K; blue below 230 K) indicates the several regimes discussed in the
text.
Figure 5. Specific heat data for VO2 (B), measured without magnetic field (blue circles) and under a 9
T magnetic field (red squares). The grey dashed line is the difference in heat capacity with and without
applied magnetic field; the green dashed lines are guide for the eyes highlighting the different regimes
at low and high temperature; the vertical green dotted lines mark some anomalies in the difference
curve at ca 200 K and 233 K. The insert zooms in the LT region.
Figure 6. Temperature dependence of the DC transport properties of VO2 (B). (a) Electrical resistivity
(insert: deviation to 2D variable range hopping model); (b) Seebeck coefficient (open symbols) and its
temperature derivative (dashed and dotted lines). In both cases, the (green) vertical dashed and shaded
lines mark characteristic temperatures with anomalies or departure from the mean behavior.
Figure 7: Temperature and frequency (log scale) dependence of the capacity (log scale); the first insert
zooms in the main plot and highlights the jump in the capacity as T crosses ca 207 K; the second insert
plots the magnitude of the jump (log scale) as a function of the frequency (log scale) for several rates
(1 and 7 K/min) as well as a full lines with slope = -2.
Figure 8. Normalized impedance plots (Z”(freq.) vs Z’(freq.)) as a function of temperature; the
normalization is used to fit the full data range (eight orders of magnitude in Z) in a single plot and
highlights the several regimes; full scale examples (all data in ) are shown on the bottom and right
sides for different temperatures; arrows in these inserts point to magnified plots of the circled areas.