Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model

Abstract

Here we consider a class of energy eigenstates of the spin-1/2 XXZ chain that exist both for anisotropies 1 and larger than 1. We show that at the isotropic point their contributions are behind the diffusion constant being infinite, spin transport being anomalous superdiffusive for temperatures T>0. That for anisotropy larger than 1 such states do not contribute to the diffusion constant is shown to imply it is finite, spin transport being normal diffusive for T>0. By combining the connection through a Jordan-Wigner transformation of the spin-1/2 XXZ chain to the one-dimensional (1D) lattice spinless fermion model at zero chemical potential for V/J larger or equal to 1 with its Bethe-ansatz solution, where V is the nearest-neighbor Coulomb repulsion and J is twice the hopping integrai, in this paper we also address the issue of the T>0 charge transport of that model at zero chemical potential. It is found to be anomalous superdiffusive for V/J=1 and normal diffusive for V/J>1.

12 pages, 1 figure

References in corpus (15)

• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin-$1/2$ chain
• Spectral function of spinless fermions on a one-dimensional lattice
• Superuniversality of superdiffusion
• Superdiffusion from emergent classical solitons in quantum spin chains
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• Exploiting disorder to probe spin and energy hydrodynamics
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Temperature dependence of charge transport in the half-filled 1D Hubbard model
• Accurate localization of Kosterlitz-Thouless-type quantum phase transitions for one-dimensional spinless fermions
• Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
• Diffusive charge transport in the gapped 1D Hubbard model at all finite temperatures

Cited by in corpus (1)

• Digital Quantum Simulation of Spin Transport