Orbital Magnetism of 2D Chaotic Lattices

Abstract

We study the orbital magnetism of 2D lattices with chaotic motion of electrons withing a primitive cell. Using the temperature diagrammatic technique we evaluate the averaged value and rms fluctuation of magnetic response in the diffusive regime withing the model of non-interacting electrons. The fluctuations of magnetic susceptibility turn out to be large and at low temperature can be of the order of ${\chi }_L(k_{F}l{)}^{3/2}$, where $k_F$ is the Fermi wavevector, $l$ is the mean free path, and ${\chi }_L$ is the Landau susceptibility. In the certain region of magnetic fields the paramagnetic contribution to the averaged response is field independent and larger than the absolute value of Landau response.

arXiv comment6 pages, Latex file, figures available upon request