Recovery of the persistent current induced by the electron-electron interaction in mesoscopic metallic rings

Abstract

Persistent currents in mesoscopic metallic rings induced by static magnetic fields are investigated by means of a Hamiltonian which incorporates diagonal disorder and the electron-electron interaction through a Hubbard term ($U$). Correlations are included up to second order perturbation theory which is shown to work accurately for $U$ of the order of the hopping integral. If disorder is not very strong, interactions increase the current up to near its value for a clean metal. Averaging over ring lengths eliminates the first Fourier component of the current and reduces its value, which remains low after interactions are included.

uuencoded gzipped tar file containing the manuscript (tex file) and four figures (postscript files). Accepted for publication in Solid State Communications. Send e-mail to: [email protected]

References in corpus (5)

• Persistent Currents in 1D Disordered Rings of Interacting Electrons
• Does the attractive Hubbard model support larger persistent currents than the repulsive one ?
• Suppression of Persistent Currents in 1-D Disordered Rings by Coulomb Interaction
• Electron-electron interactions in one- and three-dimensional mesoscopic disordered rings: a perturbative approach
• Enhancement of Persistent Currents by Hubbard Interactions In Disordered 1D Rings: Avoided Level Crossings Interpretation

Cited by in corpus (4)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Interaction-Induced Enhancement and Oscillations of the Persistent Current
• Effective-field-theory approach to persistent currents
• Persistent current and Drude weight in one-dimensional rings with substitution potentials