Holographic Non-Fermi Liquid in a Background Magnetic Field

TL;DR

This paper investigates how a background magnetic field influences non-Fermi liquids in 2+1 dimensions using holographic duality, revealing effects like Fermi surface suppression, Landau levels, and oscillatory behaviors.

Contribution

It demonstrates that magnetic fields can be modeled as a charge rescaling in holographic non-Fermi liquids, leading to novel phenomena such as Fermi surface disappearance and Landau level structures.

Findings

Fermi surface gradually disappears at high magnetic fields

Landau level-like structures are observed

Oscillatory phenomena akin to de Haas-van Alphen effect occur

Abstract

We study the effects of a non-zero magnetic field on a class of 2+1 dim non-Fermi liquids, recently found in 0903.2477 by considering properties of a fermionic probe in an extremal AdS^4 black hole background. Introducing a similar fermionic probe in a dyonic AdS^4 black hole geometry, we find that the effect of a magnetic field could be incorporated in a rescaling of the probe fermion's charge. From this simple fact, we observe interesting effects like gradual disappearance of the Fermi surface and quasi particle peaks at large magnetic fields and changes in other properties of the system. We also find Landau level like structures and oscillatory phenomena similar to the de Haas-van Alphen effect.