Permanent magnetic moment in mesoscopic metals with spin-orbit interaction

Details Permanent magnetic moment in mesoscopic metals with spin-orbit interaction Permanent magnetic moment in mesoscopic metals with spin-orbit interaction

2000-07-18

arxiv.org/abs/cond-mat/0007297v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1016/S0038-1098(00)00518-4

We argue that at zero temperature an isolated metal particle (or an AB ring) with spin-orbit interaction and odd number of electrons will have a permanent magnetic moment, even in zero magnetic field (flux). In a zero-field-cooled state both the direction and the magnitude of the moment varies from particle to particle and averages to zero. In a field-cooled state it averages to $\sim \mu_{B}(k_{F}\ell) ^{1/2}$. We argue that the permanent moment is due to an uncompensated electron in the last occupied (Fermi) level. We introduce an effective single-electron Hamiltonian which accounts for spin-orbit coupling.

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