Transport in a spin incoherent Luttinger liquid

Abstract

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in finite wires and in the thermodynamic limit. The effect of Fermi liquid leads attached to the finite length system is also addressed. In the infinite system, we find a phase diagram identical to that obtained for a spinless Luttinger Liquid, provided we make the identification $g=2g_c$, where $g$ is the interaction parameter in a spinless Luttinger Liquid and $g_c$ is the interaction parameter of the charge sector of a Luttinger Liquid theory for electrons with spin. For a finite length wire attached to Fermi liquid leads the transport depends on details of the disorder in the wire. A simple picture for the cross-over from the spin incoherent regime to the spin coherent regime as the temperature is varied is also discussed, as well as some physical implications.

11 pages, 1 figure, corrected typos, updated references, version to appear in PRB

References in corpus (23)

• Luttinger Liquid Behavior in Carbon Nanotubes
• One-Dimensional Fermi liquids
• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Wigner Crystal in One Dimension
• Spin-charge separation and localization in one-dimension
• Conductance of a quantum wire in the Wigner crystal regime
• Conductance of a quantum wire at low electron density
• Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Green's function for magnetically incoherent interacting electrons in one dimension
• Interacting electrons with spin in a one-dimensional wire connected to leads
• Zero temperature correlation functions for the impenetrable fermion gas
• The conductance of interacting nano-wires
• Theory of momentum resolved tunneling into a short quantum wire
• Scaling behavior of impurities in mesoscopic Luttinger liquids
• Low-temperature crossover in the momentum distribution of cold atomic gases in one dimension
• Tomonaga-Luttinger parameters for quantum wires
• Transport through quasi-ballistic quantum wires: the role of contacts
• Short-range correlations and spin-mode velocities in ultrathin one-dimensional conductors
• Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field
• Conductance through contact barriers of a finite length quantum wire
• Ladder approximation to spin velocities in quantum wires

Cited by in corpus (23)

• The spin-incoherent Luttinger liquid
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Coulomb drag between two spin incoherent Luttinger liquids
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• The electron lifetime in Luttinger liquids
• Exchange Coupling in a One-Dimensional Wigner Crystal
• Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
• Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Fermi-edge singularity in a spin-incoherent Luttinger liquid
• Shot noise free conductance reduction in quantum wires
• Thermal disruption of a Luttinger liquid
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Spin-charge separation in an Aharonov-Bohm interferometer
• Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Multiple crossovers in interacting quantum wires
• Singular responses of spin-incoherent Luttinger liquids
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors