Eur. Phys. J. B (2015) 88: 41
https://doi.org/10.1140/epjb/e2014-50779-6

Regular Article

Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals

¹ Institut für Theoretische Physik, Universität Frankfurt, Max-von-Laue Str. 1, 60438 Frankfurt, Germany
² Department of Physics, University of Florida, Gainesville, 32611 Florida, USA

^a e-mail: drukier@itp.uni-frankfurt.de

Received: 5 November 2014
Published online: 4 February 2015

Abstract

We show that in a weak external magnetic field H the quasi-particle residue and the renormalized electron Landé factor of two-dimensional Fermi liquids exhibit a non-analytic magnetic field dependence proportional to | H | which is due to electron-electron interactions and the Zeeman effect. We explicitly calculate the corresponding prefactors to second order in the interaction and show that they are determined by low-energy scattering processes involving only momenta close to the Fermi surface. These non-analytic terms appear in measurable quantities such as the density of states and the magnetoconductivity.