Numéro |
J. Phys. I France
Volume 7, Numéro 6, June 1997
|
|
---|---|---|
Page(s) | 807 - 820 | |
DOI | https://doi.org/10.1051/jp1:1997194 |
J. Phys. I France 7 (1997) 807-820
Orbital Maghetism in Two-Dimensional Integrable Systems
E. Gurevich and B. ShapiroDepartment of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel
(Received 5 January 1997, received in final form 11 February 1997, accepted 19 February 1997)
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
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
in the entire temperature range.
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