Li Qing Fang, Xian-Hui Ge, Xiao-Mei Kuang
We investigate the properties of holographic fermions in charged Lifshitz black hole at finite temperature through the AdS/CFT correspondence. In the charged Lifshitz background with the dynamical exponent $z=2$, we find that the dispersion relation is linear. The scaling behavior of the imaginal part of Green function relative to $k_{\perp}=k-k_F$ is also discussed. We find that the corresponding scaling exponent $\beta$ of the scaling $ImG_{22}\sim k_{\perp}^{-\beta}$ are not always one by changing the charge $q$, which is different from that of Landau's Fermi liquids. The scaling parameters $\alpha$ and $\beta$ change small as the charge $q$ varies. We also discuss the effect of the dynamical exponent $z$ by considering the cases $z=4$ and $z=6$ and show that $ImG_{ii}$ become smooth when the dynamical exponent $z$ increases.
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http://arxiv.org/abs/1201.3832
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