Persistent Currents for Interacting Electrons: a Simple Hartree-Fock Picture
arXiv:cond-mat/9506053 · doi:10.1051/jp1:1996128
Abstract
The average persistent current <I> of diffusive electrons in the Hartree-Fock approximation is derived in a simple non-diagrammatic picture. The Fourier expansion directly reflects the winding number decomposition of the diffusive motion around the ring. One recovers the results of Ambegaokar and Eckern, and Schmid. Moreover one finds an expression for <I> which is valid beyond the diffusive regime.
7 pages, latex, no figures
Cited by in corpus (6)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Observation of Persistent Currents in Mesoscopic Connected Rings
- Spectral determinant on quantum graphs
- Persistent currents on graphs
- Development of effective stochastic potential method using random matrix theory for efficient conformational sampling of semiconductor nanoparticles at non-zero temperatures
- Landau diamagnetism and magnetization of interacting diffusive conductors