Calculation of electric transport close to a Lifshitz transition in a high magnetic field*
Department of Physics, Florida State University, Tallahassee, 32306 Florida, USA
Received: 3 July 2012
Received in final form: 29 December 2012
Published online: 18 March 2013
The effects of the Landau quantization and interactions on a Lifshitz transition are studied. The Landau quantization leads to a quasi-one-dimensional behavior for the direction parallel to the field. The repulsive Coulomb interactions give rise to a gas of strongly correlated carriers. Consequently, in the ground state, an electron pocket is emptied in a discontinuous fashion as a function of the chemical potential or magnetic field. This discontinuity is gradually smeared by temperature, in agreement with experiments for CeIn3. We further calculate the conductivity and the Hall conductivity in the presence of nonmagnetic impurities, the Landau quantization and interactions.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013