Persistent Currents in 1D Disordered Rings of Interacting Electrons

Abstract

We calculate the persistent current of 1D rings of spinless fermions with short-range interactions on a lattice with up to 20 sites, and in the presence of disorder, for various band fillings. We find that {\it both} disorder and interactions always decrease the persistent current by localizing the electrons. Away from half-filling, the interaction has a much stronger influence in the presence of disorder than in the pure case.

Latex file, 11 pages, 5 figures available on request, Report LPQTH-93/18

Cited by in corpus (71)

• Random Matrix Theories in Quantum Physics: Common Concepts
• 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
• Effects of disorder on two strongly correlated coupled chains
• Anderson-localization versus delocalization of interacting fermions in one dimension
• A Simple Formula for the Persistent Current in Disordered 1D Rings: Parity and Interaction Effects
• From the Fermi glass towards the Mott insulator in one dimension: Delocalization and strongly enhanced persistent currents
• Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems
• Persistent currents through a quantum dot
• Persistent currents in mesoscopic rings: A numerical and renormalization group study
• Interacting electrons in disordered potentials: Conductance versus persistent currents
• Crossover effects in the random exchange spin-1/2 antiferromagnetic chain
• Enhancement of persistent current in mesoscopic rings $&$ cylinders : shortest $&$ next possible shortest higher order hopping
• Strange behavior of persistent currents in small Hubbard rings
• Two interacting quasiparticles above the Fermi sea
• Magnetic Response in Mesoscopic Hubbard Rings: A Mean Field Study
• Drude weight fluctuations in many-body localized systems
• Current-spin-density functional study of persistent currents in quantum rings
• Electron-electron interactions in one- and three-dimensional mesoscopic disordered rings: a perturbative approach
• Effects of a weak disorder on two coupled Hubbard chains
• Persistent Currents in Multichannel Interacting Systems
• Persistent current and Drude weight in mesoscopic rings
• Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
• Disorder-induced enhancement of the persistent current for strongly interacting electrons in one-dimensional rings
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Scaling of the spin stiffness in random spin-1/2 chains : Crossover from pure-metallic behaviour to random singlet-localized regime
• On the role of electron correlation and disorder on persistent currents in isolated one-dimensional rings
• Persistent currents in multicomponent Tomonaga-Luttinger liquid: application to mesoscopic semiconductor ring with spin-orbit interaction
• Many-Body-Localization Transition : sensitivity to twisted boundary conditions
• On the way to meet the experimental observation of persistent current in a mesoscopic cylinder: A mean field study
• Transport properties of one-dimensional interacting fermions in aperiodic potentials
• Current and entanglement in a Bose-Hubbard lattice
• Spin and interaction effects on charge distribution and currents in one-dimensional conductors and rings within the Hartree-Fock approximation
• Coulomb drag in mesoscopic rings
• Transition to an Insulating Phase Induced by Attractive Interactions in the Disordered Three-Dimensional Hubbard Model
• Persistent Currents in Small, Imperfect Hubbard Rings
• Effect of electronic interactions on the persistent current in one-dimensional disordered rings
• Magnetization of Mesoscopic Disordered Networks
• Fundamental properties, localization threshold, and the Tomonaga--Luttinger behavior of electrons in nanochains
• The effect of the Coulomb interaction on the mesoscopic persistent current
• Persistent charge and spin currents in a quantum ring using Green's function technique: Interplay between magnetic flux and spin-orbit interactions
• The interplay between electron-electron interactions and impurities in one-dimensional rings
• Why Are Large Persistent Currents Observed in Small Gold Rings?
• Influence of spin on the persistent current of strongly interacting electrons
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Circulating current in 1D Hubbard rings with long-range hopping: Comparison between exact diagonalization method and mean-field approach
• Recovery of the persistent current induced by the electron-electron interaction in mesoscopic metallic rings
• Controlled parity switch of persistent currents in quantum ladders
• The large system asymptotics of persistent currents in mesoscopic quantum rings
• Disorder effect on the Friedel oscillations in a one-dimensional Mott insulator
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Unconventional localization phenomena in a spatially non-uniform disordered material
• Persistent current and low-field magnetic susceptibility in one-dimensional mesoscopic rings: Effect of long-range hopping
• More current with less particles due to power-law hopping
• Magnetic response of non-interacting and interacting electrons in a Möbius strip
• Enhancement of Persistent Current in Metal Rings by Correlated Disorder
• Metal-insulator transition in an one-dimensional half-filled interacting mesoscopic ring with spinless fermions: Exact results
• Unconventional low-field magnetic response of a diffusive ring with spin-orbit coupling
• Persistent currents with long-range hopping in 1D single-isolated-diffusive rings
• Bistability of persistent currents in mesoscopic rings
• Dimensional and temperature dependence of metal insulator transition in correlated and disordered systems
• Flux Dependence of Persistent Current in a Mesoscopic Disordered Tight Binding Ring
• Mesoscopic Luttinger Liquid Theory in an Aharonov-Bohm Ring
• Distribution function of the local density of states of a one-channel weakly disordered ring in an external magnetic field
• Interaction-induced Drude weight enhancement in frustrated systems
• Persistent currents in mesoscopic rings and boundary conformal field theory
• Persistent current in one-dimensional non-superconducting mesoscopic rings: effects of single hopping impurity, in-plane electric field and foreign atoms
• Persistent current and Drude weight in one-dimensional rings with substitution potentials
• Persistent current of two-chain Hubbard model with impurities
• Persistent spin current and entanglement in the anisotropic spin ring i
• Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice