A TBA description of thermal transport in the XXZ Heisenberg model

Abstract

It is shown that the Bethe ansatz formulation of the easy-plane 1D Heisenberg model thermodynamics (TBA) by Takahashi and Suzuki and the subsequent analysis of the spin Drude weight, also reproduces the thermal Drude weight and magnetothermal coefficient obtained by the Quantum Transfer Matrix method (QTM). It can also be extended to study the far-out of equilibrium energy current generated at the interface between two semi-infinite chains held at different temperatures.

arXiv comment7 pages, 3 figures

References in corpus (19)

• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Transport and conservation laws
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Thermodynamics of the Anisotropic Spin-1/2 Heisenberg Chain and Related Quantum Chains
• Integrability and ideal conductance at finite temperatures
• Microscopic origin of ideal conductivity in integrable quantum models
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
• Heat conduction in low-dimensional quantum magnets
• Generalized TBA and generalized Gibbs
• Nonequilibrium thermal transport and its relation to linear response
• Exactly conserved quasilocal operators for the XXZ spin chain
• Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Expansion potentials for exact far-from-equilibrium spreading of particles and energy
• Non-dissipative Thermal Transport and Magnetothermal Effect for the Spin-1/2 Heisenberg Chain
• Spin and magnetothermal transport in the S = 1/2 XXZ chain

Cited by in corpus (24)

• Finite-temperature transport in one-dimensional quantum lattice models
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Diffusive hydrodynamics from integrability breaking
• Superdiffusion from emergent classical solitons in quantum spin chains
• Stability of superdiffusion in nearly integrable spin chains
• Energy transport in an integrable parafermionic chain via generalized hydrodynamics
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Locally quasi-stationary states in noninteracting spin chains
• The spin Drude weight of the XXZ chain and generalized hydrodynamics
• Anomalous low-frequency conductivity in easy-plane XXZ spin chains
• Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
• Kinetic theory of quantum and classical Toda lattices
• Transport in one-dimensional integrable quantum systems
• The GGE averaged currents of the classical Toda chain
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
• Analytical results for the low-temperature Drude weight of the XXZ spin chain
• Non-linear Transport by Bethe Bound States
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Thermal Drude weight in an integrable chiral clock model
• Scattering of spinon excitations by potentials in the 1D Heisenberg model
• Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect