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Holographic fermions in charged Gauss-Bonnet black hole

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Abstract

We study the properties of the Green’s functions of the fermions in charged Gauss-Bonnet black hole. What we want to do is to investigate how the presence of Gauss-Bonnet coupling constant α affects the dispersion relation, which is a characteristic of Fermi or non-Fermi liquid, as well as what properties such a system has, for instance, the Particle-hole (a)symmetry. One important result of this research is that we find for q = 1, the behavior of this system is different from that of the Landau Fermi liquid and so the system can be candidates for holographic dual of generalized non-Fermi liquids. More importantly, the behavior of this system increasingly similar to that of the Landau Fermi liquid when α is approaching its lower bound. Also we find that this system possesses the Particle-hole asymmetry when q ≠ 0, another important characteristic of this system. In addition, we also investigate briefly the cases of the charge dependence.

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  1. Department of Physics, Beijing Normal University, Beijing, 100875, China

    Jian-Pin Wu

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ArXiv ePrint:1103.3982

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Wu, JP. Holographic fermions in charged Gauss-Bonnet black hole. J. High Energ. Phys. 2011, 106 (2011). https://doi.org/10.1007/JHEP07(2011)106

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