Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals
Institut für Theoretische Physik, Universität
Frankfurt, Max-von-Laue Str.
2 Department of Physics, University of Florida, Gainesville, 32611 Florida, USA
Received: 5 November 2014
Published online: 4 February 2015
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.
Key words: Solid State and Materials
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015