Mesoscopic Stoner Instability

dc.creatorKurland, I. L.
dc.creatorAleiner, I. L.
dc.creatorAltshuler, B. L.
dc.date2000-04-12
dc.date.accessioned2026-07-07T02:37:20Z
dc.date.available2026-07-07T02:37:20Z
dc.descriptionThe paper is devoted to the magnetic properties of isolated mesoscopic grains. We demonstrate that under very general conditions the electron - electron interactions in such grains can be taken into account by a simple interaction Hamiltonian. This Hamiltonian involves only three coupling constants which correspond to charging, exchange interaction, and superconducting correlations. The most important condition for such a description is that Thouless conductance of each grain is large. Under this condition sample-to-sample fluctuations of the coupling constants can be neglected. However, the thermodynamic properties can still remain sample-specific due to the one-electron part of the Hamiltonian. If the grain is made from a material which is close to the threshold of ferromagnetic instability the mesoscopic fluctuations of the magnetization are especially strong. Moreover, the situation becomes multi-stable: free energy of each grain as a function of the magnetization is characterized by a large number of local minima. We analyze the statistics of these minima and show that it possesses simple scaling properties. Numerical simulations confirm this scaling.
dc.description19 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0004205
dc.identifierhttp://arxiv.org/abs/cond-mat/0004205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16254
dc.subjectMesoscale and Nanoscale Physics
dc.titleMesoscopic Stoner Instability
dc.typetext

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