Orbital Magnetism in Ensembles of Parabolic Potentials

Details Orbital Magnetism in Ensembles of Parabolic Potentials Orbital Magnetism in Ensembles of Parabolic Potentials

1998-03-17

arxiv.org/abs/cond-mat/9803214v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, REVTEX

Scientific paper

10.1103/PhysRevE.58.5146

We study the magnetic susceptibility of an ensemble of non-interacting electrons confined by parabolic potentials and subjected to a perpendicular magnetic field at finite temperatures. We show that the behavior of the average susceptibility is qualitatively different from that of billiards. When averaged over the Fermi energy the susceptibility exhibits a large paramagnetic response only at certain special field values, corresponding to comensurate classical frequencies, being negligible elsewhere. We derive approximate analytical formulae for the susceptibility and compare the results with numerical calculations.

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