Josephson current through a Luttinger liquid
arXiv:cond-mat/9407124 · doi:10.1103/PhysRevLett.74.1843
Abstract
We study the Josephson effect through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. The interactions are treated in the framework of the one-channel Luttinger model. At zero temperature, the Josephson critical current is found to decay algebraically with increasing distance between the junctions. The exponent is proportional to the strength of the Coulomb interaction. If the Luttinger liquid has a finite size, the Josephson current depends on the total number of electrons modulo 4. These parity effects are studied for the ring, coupled capacitively to a gate-voltage and threaded by a magnetic flux. The Josephson current changes continuously as a function of the gate voltage and {\em stepwise} as a function of the magnetic flux. The electron-electron interaction introduces {\em qualitatively} new features compared to the non-interacting case.
8 pages REVTEX , 4 figures available upon request
References in corpus (2)
Cited by in corpus (50)
- Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
- Revealing the electronic structure of a carbon nanotube carrying a supercurrent
- Interacting one dimensional electron gas with open boundaries
- Phase coherent transport in hybrid superconducting nanostructures
- Quantum entanglement in carbon nanotubes
- Off-diagonal Bethe ansatz and exact solution of a topological spin ring
- Josephson Current and Proximity Effect in Luttinger Liquids
- Influence of the Rashba effect on the Josephson current through a superconductor/Luttinger liquid/superconductor tunnel junction
- Parity measurement in topological Josephson junctions
- Aharonov-Bohm effect in the chiral Luttinger liquid
- DC and AC Josephson Effect in a Superconductor-Luttinger Liquid-Superconductor System
- Geometrical enhancement of the proximity effect in quantum wires with extended superconducting tunnel contacts
- MICROWAVE-INDUCED "SOMERSAULT EFFECT" IN FLOW OF JOSEPHSON CURRENT THROUGH A QUANTUM CONSTRICTION
- Theory of the Josephson effect in superconductor / one-dimensional electron gas / superconductor junction
- Interacting two helical edge modes in quantum spin Hall systems
- Anomalous density of states of a Luttinger liquid in contact with a superconductor
- Signatures of Rashba spin-orbit interaction in the superconducting proximity effect in helical Luttinger liquids
- Josephson effect through a quantum dot array
- Supercurrent States in 1D Finite-Size Rings
- Switching the sign of Josephson current through Aharonov-Bohm interferometry
- Correlation Functions and Coulomb Blockade of Interacting Fermions at Finite Temperature and Size
- Charge and Spin Effects in Mesoscopic Josephson Junctions
- Mesoscopic Vortex-Meissner currents in ring ladders
- Interplay of Coulomb blockade and Aharonov-Bohm resonances in a Luttinger liquid
- One-dimensional transport of bosons between weakly linked reservoirs
- Interaction-induced Renormalization of Andreev Reflection
- Superconducting Quantum Interference in Edge State Josephson Junctions
- Josephson current through charge density waves
- Persistent currents in multicomponent Tomonaga-Luttinger liquid: application to mesoscopic semiconductor ring with spin-orbit interaction
- Metamorphosis and Taxonomy of Andreev Bound States
- Andreev current in finite sized carbon nanotubes
- Supercurrents in chiral channels originate from upstream information transfer: a theoretical prediction
- Properties of superconductor - Luttinger liquid hybrid systems
- Tunneling conductance of a mesoscopic ring with spin-orbit coupling and Tomonaga-Luttinger interaction
- Thermodynamic limit and twisted boundary energy of the XXZ spin chain with antiperiodic boundary condition
- Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
- Excitation spectrum and supersolidity of a two-leg bosonic ring ladder
- Tunneling Spectroscopy of a Spiral Luttinger Liquid in Contact with Superconductors
- Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
- DC Josephson Effect in a Tomonaga-Luttinger Liquid
- Modeling long imperfect SNS junctions and Andreev bound states using two impurities and the T -matrix formalism
- Conductance of inhomogeneous Luttinger liquids with a finite bandwidth
- Josephson -state in superconductor-Luttinger liquid hybrid systems
- dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
- Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
- Enhanced Josephson tunneling between high temperature superconductors through a normal pseudogap underdoped cuprate with a finite energy cooperon
- AC Josephson current and supercurrent noise through one-dimensional correlated electron systems
- The contact conductance of a one-dimensional wire partly embedded in a superconductor
- Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work
- Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction