Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires

Abstract

In one-dimensional electronic systems with strong repulsive interactions, charge excitations propagate much faster than spin excitations. Such systems therefore have an intermediate temperature range [termed the "spin-incoherent Luttinger liquid'" (SILL) regime] where charge excitations are "cold" (i.e., have low entropy) whereas spin excitations are "hot." We explore the effects of charge-sector disorder in the SILL regime in the absence of external sources of equilibration. We argue that the disorder localizes all charge-sector excitations; however, spin excitations are protected against full localization, and act as a heat bath facilitating charge and energy transport on asymptotically long timescales. The charge, spin, and energy conductivities are widely separated from one another. The dominant carriers of energy are neither charge nor spin excitations, but neutral "phonon" modes, which undergo an unconventional form of hopping transport that we discuss. We comment on the applicability of these ideas to experiments and numerical simulations.

14 pages, 6 figures

References in corpus (20)

• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• A one-dimensional liquid of fermions with tunable spin
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Spin-charge separation and localization in one-dimension
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Wigner crystal physics in quantum wires
• Quantum criticality of hot random spin chains
• Scenario for delocalization in translation invariant systems
• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• A mean-field theory of nearly many-body localized metals
• Phase transition of interacting disordered bosons in one dimension
• Variable range hopping and quantum creep in one dimension
• How periodic driving heats a disordered quantum spin chain
• Transport in a spin incoherent Luttinger liquid
• Regimes of heating and dynamical response in driven many-body localized systems
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Transport of charge-density waves in the presence of disorder: Classical pinning vs quantum localization

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