Anisotropic Fermi surface from holography

Abstract

We investigate the probe holographic fermions by using an anisotropic charged black brane solution. We derive the equation of motion of probe bulk fermions with one Fermi momentum along the anisotropic and one along the isotropic directions. We then numerically solve the equation and analyze the properties of Green function with these two momentums. We find in this case the shape of Fermi surface is anisotropic. However, for both Fermi momentums perpendicular to the anisotropic direction, the Fermi surface is isotropic. We verify that our system obeys the recently conjectured bound for thermoelectric diffusion constants for the stable branch of the black brane solutions.

21 pages, many figures, diffusion bound discussed, PRD in press

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Cited by in corpus (13)

• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Diffusion in higher dimensional SYK model with complex fermions
• The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual Information
• Dynamic Properties of Two-Dimensional Latticed Holographic System
• Holographic study on the jet quenching parameter in anisotropic systems
• Holographic fermionic spectrum from Born-Infeld AdS black hole
• Conductivities in an anisotropic medium
• Correlation function of flavored fermion in holographic QCD
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Doped holographic fermionic system
• Holographic spectroscopy of fermion with instantons
• Holographic fermionic spectrum with Weyl correction