Holographic fermions in charged Lifshitz theory

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 $k_{\perp }=k-k_F$ is also discussed. We find, although the system has linear dispersion relation and quadratic quasi-particle width, it does not satisfy Luttinger's theorem. We also find that the variation of the scaling parameters $\alpha$ and $\beta$ 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 $Im{G}_{ii}$ become smooth when the dynamical exponent $z$ increases.

1+16pages, many figures, published version

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Cited by in corpus (23)

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• Dipole Coupling Effect of Holographic Fermion in Charged Dilatonic Gravity
• Holographic fermions with running chemical potential and dipole coupling
• Novel Features of the Transport Coefficients in Lifshitz Black Branes
• Dynamically generated gap from holography in the charged black brane with hyperscaling violation
• Dynamical gap from holography in the charged dilaton black hole
• Holographic Lifshitz Superconductors with an Axion Field
• Holographic fermions in asymptotically scaling geometries with hyperscaling violation
• Non-relativistic Josephson Junction from Holography
• The superconducting dome for holographic doped Mott insulator with hyperscaling violation
• Holographic study on the jet quenching parameter in anisotropic systems
• Holographic fermionic spectrum from Born-Infeld AdS black hole
• Correlation function of flavored fermion in holographic QCD
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Scalar Boundary Conditions in Hyperscaling Violating Geometry
• Charged Lifshitz black holes from general covariance breaking
• Drag force of Anisotropic plasma at finite $U(1)$ chemical potential
• Doped holographic fermionic system
• Holographic fermionic spectrum with Weyl correction