Orbital Magnetism in Two-dimensional Integrable Systems

Details Orbital Magnetism in Two-dimensional Integrable Systems Orbital Magnetism in Two-dimensional Integrable Systems

1996-11-18

arxiv.org/abs/cond-mat/9611143v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

28 pages, Latex, 4 Postscript figures

Scientific paper

10.1051/jp1:1997194

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.

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