Transport in a one-dimensional isotropic Heisenberg model at high temperature

Abstract

Magnetization transport in a one-dimensional isotropic spin 1/2 Heisenberg model is studied. It is shown that in a nonequilibrium steady state at high temperature and constant small driving the magnetization current depends on the system length L as 1/L^{0.5}, meaning that the diffusion constant diverges as L^{0.5}. Spectral properties of a superoperator governing the relaxation towards a nonequilibrium steady state are also discussed.

12 pages, 6 figures

References in corpus (14)

• Heat Transport in low-dimensional systems
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Exact nonequilibrium steady state of a strongly driven open XXZ chain
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Thermal conductivity via magnetic excitations in spin-chain materials
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Finite-temperature Drude weight within the anisotropic Heisenberg chain
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• Finite Drude weight for 1D low temperature conductors

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