Holographic non-Fermi liquid in a background magnetic field

Abstract

We study the effects of a nonzero magnetic field on a class of $2+1$ dimensional non-Fermi liquids, recently found in [Hong Liu, John McGreevy, and David Vegh, arXiv:0903.2477.] by considering properties of a Fermionic probe in an extremal ${\mathrm{AdS}}^{4}$ black hole background. Introducing a similar fermionic probe in a dyonic ${\mathrm{AdS}}^{4}$ 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 quasiparticle 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.