Possibility of long-range order in clean mesoscopic cylinders
Abstract
A microscopic Hamiltonian of the magnetostatic interaction is discussed. This long-range interaction can play an important role in mesoscopic systems leading to an ordered ground state. The self-consistent mean field approximation of the magnetostatic interaction is performed to give an effective Hamiltonian from which the spontaneous, self-sustaining currents can be obtained. To go beyond the mean field approximation the mean square fluctuation of the total momentum is calculated and its influence on self-sustaining currents in mesoscopic cylinders with quasi-1D and quasi-2D conduction is considered. Then, by the use of the microscopic Hamiltonian of the magnetostatic interaction for a set of stacked rings, the problem of long-range order is discussed. The temperature below which the system is in an ordered state is determined.
Keywords
Cite
@article{arxiv.cond-mat/9812319,
title = {Possibility of long-range order in clean mesoscopic cylinders},
author = {M. Lisowski and E. Zipper and M. Stebelski},
journal= {arXiv preprint arXiv:cond-mat/9812319},
year = {2009}
}
Comments
14 pages, REVTeX, 5 figures, in print in Phys. Rev. B