Holographic fermions in charged Gauss-Bonnet black hole

DOI10.1007/JHEP07(2011)106zbMATH Open1298.81222arXiv1103.3982MaRDI QIDQ467220

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Publication date: 3 November 2014

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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 $alpha$ 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 $alpha$ is approaching its lower bound. Also we find that this system possesses the Particle-hole asymmetry when $qeq0$, another important characteristic of this system. In addition, we also investigate briefly the cases of the charge dependence.

Full work available at URL: https://arxiv.org/abs/1103.3982

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