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 $T^{\ast }$ below which the system is in an ordered state is determined.

14 pages, REVTeX, 5 figures, in print in Phys. Rev. B

References in corpus (5)

• Parquet solution for a flat Fermi surface
• Coherence of Currents in Mesoscopic Cylinders
• Magnetization of Mesoscopic Disordered Networks
• Orbital Magnetic Ordering in Disordered Mesoscopic Systems
• The Two-fluid Description of a Mesoscopic Cylinder

Cited by in corpus (3)

• Pinning of electron densities in quantum rings by defects: symmetry constraints and distribution of persistent currents
• Magnetic flux in mesoscopic rings: Quantum Smoluchowski regime
• Coherent phenomena in mesoscopic systems