Persistent Currents in Two-Dimensional Metallic Cylinders: a Linear Response Analysis
- 1 March 1989
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 8 (5), 477-481
- https://doi.org/10.1209/0295-5075/8/5/014
Abstract
Diamagnetic persistent currents are shown to exist in a two-dimensional metallic cylinder threaded by magnetic flux, and the average over impurity configurations is calculated in the weak-scattering, small flux limit. Electron-electron and hole-hole propagators give rise to a reduction in the current which is exponential in Lx/2l, where Lx is the perimeter and l is the elastic mean free path. The current is proportional to the length of the cylinder, when this length is large.Keywords
This publication has 14 references indexed in Scilit:
- PHYSICS OF MESOSCOPIC SYSTEMSSeries on Directions in Condensed Matter Physics, 1986
- Aharonov-Bohm effect in normal metal quantum coherence and transportAdvances in Physics, 1986
- Small normal-metal loop coupled to an electron reservoirPhysical Review B, 1985
- Resistance of Small Metallic LoopsPhysical Review Letters, 1985
- Josephson behavior in small normal one-dimensional ringsPhysics Letters A, 1983
- Flux quantization without off-diagonal long range order in a thin hollow cylinderSolid State Communications, 1969
- Flux Quantization and DimensionalityPhysical Review B, 1968
- Flux Quantization in a One-Dimensional ModelPhysical Review B, 1968
- Off-Diagonal Long-Range Order and Persistent Currents in a Hollow CylinderPhysical Review B, 1965
- Theoretical Considerations Concerning Quantized Magnetic Flux in Superconducting CylindersPhysical Review Letters, 1961