Click to view
(Color online) (a) Temperature and q 0 dependence of the density response function for , , and , which is proportional to the density of states. (b) Occupation of the lowest Landau level as a function of q 0 for several T. Both quantities are presented on a logarithmic scale, due to the dramatic T-dependence of the van Hove singularity at .
Article metrics loading...
Motivated by a discontinuous transition observed in in high magnetic fields, 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 coupled particles. The density correlation function is calculated for a special long-ranged interaction potential. It is concluded that, in the ground state, an electron (or hole) pocket is emptied in a discontinuous fashion as a function of the chemical potential (or magnetic field). This discontinuity is gradually smeared by the temperature, in agreement with experiments for .
Full text loading...