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 (7)

• Spin-charge separation and localization in one-dimension
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Green's function for magnetically incoherent interacting electrons in one dimension
• Theory of momentum resolved tunneling into a short quantum wire
• 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
• Ladder approximation to spin velocities in quantum wires

Cited by in corpus (12)

• The electron lifetime in Luttinger liquids
• 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
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Multiple crossovers in interacting quantum wires
• Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
• 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