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Holographic fermions in charged Lifshitz theory

2012/01/31 by Li Qing Fang, Xian-Hui Ge, Xiao‐Mei Kuang +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.86.105037

published as Phys. Rev. D 86, 105037 (2012) · 1+16pages, many figures, published version

openalex publication_date 2012/11/20 · arxiv created 2012/11/21 · arxiv updated 2012/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the properties of holographic fermions in charged Lifshitz black holes 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 the Green function relative to k_\ensuremath⊥=k\ensuremath-kF is also discussed. We find, although the system has a linear dispersion relation and quadratic quasiparticle width, it does not satisfy Luttinger's theorem. We also find that the variation of the scaling parameters \ensuremathα and \ensuremathβ is small as the charge q varies. Furthermore, we also discuss the effect of the dynamical exponent z by considering the cases z=4 and z=6 and show that ImGii become smooth when the dynamical exponent z increases.

Citations