Crossover from Coulomb-blockade to ohmic conduction in small tunnel junctions

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20. This problem has recently been treated by S.V. Panyukov, A.D. Zaikin: Preprint (1991) who consider the effects of dissipation on the Coulomb blockade by discussing the ground state energy as a function of an external charge in the limitg≫1, see also S.V. Panyukov, A.D. Zaikin: J. Low Temp. Phys.73, 1 (1988)

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22. The logarithmic interaction of defects in the inverse square Ising model leads to corresponding values α=1/2 and α=1 in the related dissipative two state formulation. For α≧1/2 the real time spin correlation function 〈σ _z (t σz(0)〉 has lost its oscillating behavior present for α<1/2 while for α>=1 it becomes nonergodic\(\mathop {\lim }\limits_{t \to \infty } \left\langle {\sigma _z (t) \sigma _z (0)} \right\rangle = const\). Contrary to the present situation, however, the condition of dilute gas of defects is well obeyed there. For a detailed reference see Leggett, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W.: Rev. Mod. Phys.59, 1 (1987)

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25. It should be pointed out that the agreement between the experiments of Ref. 3, and the single junction theory by Brown, R., Simanek, E.: Phys. Rev. B34, 2957 (1986) must be considered as fortuitous. Indeed the theory is based on an incorrect expression forg(T) which leads tog(T→0)≈g ₀ T/U in the limitg→0 instead of the correct Coulomb gap behavior (9)

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26. Averin, D.V., Odintsov, A.A.: Phys. Lett.140A, 251 (1989) it should be pointed out that their results are derived in perturbation theory, while here we have shown thatg(T→0)≈T ² for arbitrary values ofg

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