A Simple Formula for the Persistent Current in Disordered 1D Rings: Parity and Interaction Effects
arXiv:cond-mat/9311026 · doi:10.1103/PhysRevB.50.4921
Abstract
The general expression for the persistent current of 1D noninteracting electrons in a disorder potential with smooth scattering data is derived for zero temperature. On the basis of this expression the parity effects are discussed. It is shown that the electron-electron interaction may give rise to an unusual size-dependence of the current amplitude due to renormalized backscattering from the disorder potential.
13 pages (no figures), revtex
References in corpus (2)
Cited by in corpus (55)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Interacting one dimensional electron gas with open boundaries
- Detecting the Kondo screening cloud around a quantum dot
- Josephson Current and Proximity Effect in Luttinger Liquids
- Optimal Persistent Currents for Interacting Bosons on a Ring with a Gauge Field
- Anderson-localization versus delocalization of interacting fermions in one dimension
- Kondo Resonance in a Mesoscopic Ring Coupled to a Quantum Dot: Exact Results for the Aharonov-Bohm/Casher Effects
- Toulouse limit for the overscreened four-channel Kondo problem
- Persistent currents through a quantum dot
- The conductance of interacting nano-wires
- Persistent currents in mesoscopic rings: A numerical and renormalization group study
- Conductance through a One-Dimensional Correlated System: Relation to Persistent Currents and Role of the Contacts
- Flux qubit on mesoscopic nonsuperconducting ring
- Formulae for zero-temperature conductance through a region with interaction
- Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors
- Persistent currents in Dirac fermion rings
- Supercurrent States in 1D Finite-Size Rings
- Aharonov-Bohm Oscillations in a One-Dimensional Wigner Crystal-Ring
- Restricted and unrestricted Hartree-Fock calculations of conductance for a quantum point contact
- Persistent currents in mesoscopic rings with a quantum dot
- Alternation of sign of magnetization current in driven XXZ chains with twisted XY boundary gradients
- Comment on ``Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids''
- Persistent currents through a quantum impurity: Protection through integrability
- Residual conductance of correlated one-dimensional nanosystems: A numerical approach
- Persistent current and Drude weight in mesoscopic rings
- Non-Hermitian Luttinger Liquids and Vortex Physics
- Two-Channel Kondo Physics from Tunnelling Impurities with Triangular Symmetry
- Persistent currents of noninteracting electrons
- Coulomb drag in mesoscopic rings
- Capacitance of a resonant level coupled to Luttinger liquids
- Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds
- The effect of the Coulomb interaction on the mesoscopic persistent current
- Anomalous currents in driven XXZ chain with boundary twisting at weak coupling or weak driving
- Influence of spin on the persistent current of strongly interacting electrons
- Selected Topics in the Theory of 1D Quantum Wires
- The large system asymptotics of persistent currents in mesoscopic quantum rings
- Integrable Impurities as Boundary Conditions
- Fractional periodicity of persistent current in coupled quantum rings
- Conductance of nano-systems with interactions coupled via conduction electrons: Effect of indirect exchange interactions
- Effect of Charge Fluctuations on the Persistent Current through a Quantum Dot
- Effect of flux-dependent Friedel oscillations upon the effective transmission of an interacting nano-system
- Nature of eigenstates in a mesoscopic ring coupled to a side branch
- Fermi Liquid Theory for the Persistent Current Past a Side-Coupled Quantum Dot
- Full counting statistics of persistent current
- The embedding method beyond the single-channel case: Two-mode and Hubbard chains
- Underscreened Kondo impurities in a Luttinger liquid
- Ground State Spin Structure of Strongly Interacting Disordered 1D Hubbard Model
- Persistent currents in mesoscopic rings and boundary conformal field theory
- Finite-size scaling of correlation functions in one-dimensional Anderson-Hubbard model
- Drude weights in one-dimensional systems with a single defect
- Embedding method for the scattering phase in strongly correlated quantum dots
- Persistent current of correlated electrons in mesoscopic ring with impurity
- Coherent transport of interacting electrons through a single scatterer
- Non-Fermi-liquid Kondo screening under Rabi driving
- Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model