Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}

Abstract

Using the Bethe ansatz method, the zero frequency contribution (Drude weight) to the spin current correlations is analyzed for the easy plane antiferromagnetic Heisenberg model. The Drude weight is a monotonically decreasing function of temperature for all 0<Delta< 1, it approaches the zero temperature value with a power law and it appears to vanish for all finite temperatures at the isotropic Delta=1 point.

5 pages, 2 Postscript figures

Cited by in corpus (230)

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• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Diffusion and ballistic transport in one-dimensional quantum systems
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• Solvable Hydrodynamics of Quantum Integrable Systems
• Magnetization transport and quantized spin conductance
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
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• Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect
• Transport in Luttinger Liquids
• A diagrammatic approach towards the thermodynamics of integrable systems
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• Transport in Quasi One-Dimensional Systems