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Article overview
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Possibility of long-range order in clean mesoscopic cylinders | M. Lisowski
; E. Zipper
; M. Stebelski
; | Date: |
18 Dec 1998 | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | 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 $T^{*}$ below which the system is in an ordered state is determined. | Source: | arXiv, cond-mat/9812319 | Services: | Forum | Review | PDF | Favorites |
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