Coulomb drag between two spin incoherent Luttinger liquids

Abstract

In a one dimensional electron gas at low enough density, the magnetic (spin) exchange energy $J$ between neighboring electrons is exponentially suppressed relative to the characteristic charge energy, the Fermi energy $E_F$. At non-zero temperature $T$, the energy hierarchy $J\ll T\ll E_F$ can be reached, and we refer to this as the spin incoherent Lutinger liquid state. We discuss the Coulomb drag between two parallel quantum wires in the spin incoherent regime, as well as the crossover to this state from the low temperature regime by using a model of a fluctuating Wigner solid. As the temperature increases from zero to above $J$ for a fixed electron density, the $2k_F$ oscillations in the density-density correlations are lost. As a result, the temperature dependence of the Coulomb drag is dramatically altered and non-monotonic dependence may result. Drag between wires of equal and unequal density are discussed, as well as the effects of weak disorder in the wires. We speculate that weak disorder may play an important role in extracting information about quantum wires in real drag experiments.

19 pages, 10 figures

References in corpus (9)

• Spin-charge separation and localization in one-dimension
• Orbital Kondo effect in carbon nanotubes
• Coulomb drag by small momentum transfer between quantum wires
• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Theory of momentum resolved tunneling into a short quantum wire
• Transport in a spin incoherent Luttinger liquid
• Electron properties of carbon nanotubes in a periodic potential
• Devil's staircase of incompressible electron states in a nanotube

Cited by in corpus (42)

• Coulomb drag
• The spin-incoherent Luttinger liquid
• 1D-1D Coulomb Drag Signature of a Luttinger Liquid
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• The electron lifetime in Luttinger liquids
• Topological Insulators and Quantum Spin Liquids
• Helical Quantum Edge Gears in 2D Topological Insulators
• Gapless insulating edges of dirty interacting topological insulators
• Fourier transform of the $2k_F$ Luttinger liquid density correlation function with different spin and charge velocities
• Coulomb drag between ballistic quantum wires
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Coulomb drag between helical edge states
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Generation of spin current by Coulomb drag
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
• Fermi-edge singularity in a spin-incoherent Luttinger liquid
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Coulomb drag between helical Luttinger liquids
• Energy drag in particle-hole symmetric systems as a quantum quench
• Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
• Temperature dependence of Coulomb drag between finite-length quantum wires
• Charging a Dimerized Quantum XY Chain
• Multiple crossovers in interacting quantum wires
• Exciton Quasi-Condensation in One Dimensional Systems
• Probing Wigner correlations in a suspended carbon nanotube
• Coulomb drag and heat transfer in strange metals
• Ultranarrow resonance in Coulomb drag between quantum wires at coinciding densities
• Correlated insulator in two Coulomb-coupled quantum wires
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Quasi-1D Coulomb drag between spin-polarized quantum wires
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
• Tunable reciprocal and nonreciprocal contributions to 1D Coulomb Drag
• Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
• Anomaly matching condition in two-dimensional systems