Orbital Magnetism in Two-dimensional Integrable Systems
Abstract
We study orbital magnetism of a degenerate electron gas in a number of two-dimensional integrable systems, within linear response theory. There are three relevant energy scales: typical level spacing, the energy related to the inverse time of flight across the system, and the Fermi energy. Correspondingly, there are three distinct temperature regimes: microscopic, mesoscopic, and macroscopic. In the first two regimes there are large finite-size effects in the magnetic susceptibility, whereas in the third regime the susceptibility approaches its macroscopic value. In some cases, such as a quasi-one-dimensional strip or a harmonic confining potential, it is possible to obtain analytic expressions for the susceptibility in the entire temperature range.
Cite
@article{arxiv.cond-mat/9611143,
title = {Orbital Magnetism in Two-dimensional Integrable Systems},
author = {E. Gurevich and B. Shapiro},
journal= {arXiv preprint arXiv:cond-mat/9611143},
year = {2009}
}
Comments
28 pages, Latex, 4 Postscript figures