The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature

Abstract

Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results for the integrable spin-1/2 $XXZ$ chain. The thermal conductivity $\kappa (\omega )$ of this model has $\Re \kappa (\omega )=\tilde{\kappa }\delta (\omega )$, i.e. it is infinite for zero frequency $\omega$. The weight $\tilde{\kappa }$ of the delta peak is calculated exactly by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy are presented. The low and high temperature limits are studied analytically.

12 pages

References in corpus (2)

• Magnon Heat Transport in (Sr,La)_14Cu_24O_41
• Heat transport by lattice and spin excitations in the spin chain compounds SrCuO_2 and Sr_2CuO_3

Cited by in corpus (133)

• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Finite-temperature transport in one-dimensional quantum lattice models
• Quasilocal charges in integrable lattice systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Microscopic origin of ideal conductivity in integrable quantum models
• Conformal field theory out of equilibrium: a review
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Heat conduction in low-dimensional quantum magnets
• Drude Weight for the Lieb-Liniger Bose Gas
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Thermal conductivity via magnetic excitations in spin-chain materials
• Ballistic heat transport of quantum spin excitations as seen in SrCuO2
• Transport in Almost Integrable Models: Perturbed Heisenberg Chains
• Correlation functions and transport coefficients in generalised hydrodynamics
• Fourier's Law from Schroedinger Dynamics
• Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Nonequilibrium thermal transport and its relation to linear response
• Magnon Heat Transport in doped $\mathrm{L}{\mathrm{a}}_2\mathrm{Cu}{\mathrm{O}}_4$
• Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
• String-charge duality in integrable lattice models
• Thermal conductivity of anisotropic and frustrated spin-1/2 chains
• Thermal Conductivity of Spin-1/2 Chains
• Exactly conserved quasilocal operators for the XXZ spin chain
• Spin transport in Heisenberg antiferromagnets
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Thermal transport in one-dimensional spin gap systems
• Spin conductivity in almost integrable spin chains
• High temperature thermal conductivity of 2-leg spin-1/2 ladders
• Thermal transport of the XXZ chain in a magnetic field
• On one-point functions for sinh-Gordon model at finite temperature
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Spin Currents and Magnon Dynamics in Insulating Magnets
• Real-time energy dynamics in spin-1/2 Heisenberg chains
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Overlaps of $q$-raised Néel states with XXZ Bethe states and their relation to the Lieb-Liniger Bose gas
• Anomalous thermal conductivity of frustrated Heisenberg spin-chains and ladders
• Thermal form-factor approach to dynamical correlation functions of integrable lattice models
• Magnetic heat conductivity in $\mathbf{CaC}{\mathbf{u}}_2{\mathbf{O}}_3$: linear temperature dependence
• A Sum Rule for Thermal Conductivity and Dynamical Thermal Transport Coefficients in Condensed Matter -I
• Non-dissipative thermal transport in the massive regimes of the XXZ chain
• Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
• The spin Drude weight of the XXZ chain and generalized hydrodynamics
• Spin and thermal conductivity of quantum spin ladders
• Scaling of electrical and thermal conductivities in an almost integrable chain
• Expansion potentials for exact far-from-equilibrium spreading of particles and energy
• Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability
• Heat transport of cuprate-based low-dimensional quantum magnets with strong exchange coupling
• Evidence for Ballistic Thermal Conduction in the One-Dimensional S=1/2 Heisenberg Antiferromagnetic Spin System Sr2CuO3
• Transport anomaly in the low energy regime of spin chains
• Limited validity of the Kubo formula for thermal conduction in modular quantum systems
• Diverging magnetothermal response in the one-dimensional Heisenberg chain
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Spinon heat transport and spin-phonon interaction in the antiferromagnetic spin-1/2 Heisenberg chain cuprates Sr2CuO3 and SrCuO2
• Universal behavior of spin-mediated energy transport in S=1/2 chain cuprates: BaCu2Si2O7 as an example
• Magnon Heat Conductivity and Mean Free Paths in Two-Leg Spin Ladders: A Model-Independent Determination
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Spin diffusion and the anisotropic spin-1/2 Heisenberg chain
• Thermomagnetic Power and Figure of Merit for Spin-1/2 Heisenberg Chain
• Free fermions at the edge of interacting systems
• Diffusive energy transport in the S=1 Haldane chain compound AgVP2S6
• Enhancement of the Thermal Conductivity in gapped Quantum Spin Chains
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Microscopic Quantum Mechanical Foundation of Fourier's Law
• Transition from diffusive to ballistic dynamics for a class of finite quantum models
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Heat transport in quantum spin chains: the relevance of integrability
• Transport in one-dimensional integrable quantum systems
• A TBA description of thermal transport in the XXZ Heisenberg model
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Heat conductivity in small quantum systems: Kubo formula in Liouville space
• Thermal-transport studies of Two-dimensional Quantum Spin Liquids
• Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
• Non-dissipative Thermal Transport and Magnetothermal Effect for the Spin-1/2 Heisenberg Chain
• Low temperature dynamics of nonlinear Luttinger liquids
• Enhancement of Thermal Conductivity due to Spinons in the One-Dimensional Spin System SrCuO_2
• Unconventional dual 1D-2D quantum spin liquid revealed by $ab$ $initio$ studies on organic solids family
• Spin and thermal conductivity in classical disordered spin chain
• Bond disorder and breakdown of ballistic heat transport in the spin-1/2 antiferromagnetic Heisenberg chain as seen in Ca-doped SrCuO2
• Charge diffusion in the one-dimensional Hubbard model
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Bond disorder and spinon heat transport in the $S=\frac{1}{2}$ Heisenberg spin chain compound Sr${}_2$CuO${}_3$: from clean to dirty limits
• Spin and magnetothermal transport in the S = 1/2 XXZ chain
• Energy dynamics in the Heisenberg-Kitaev chain
• Thermodynamics of antiferromagnetic alternating spin chains
• Transport in dimerized and frustrated spin systems
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Thermal conductivity of one-dimensional spin-1/2 systems
• Energy spread and current-current correlation in quantum systems
• Thermal transport of the frustrated spin-chain mineral linarite: Magnetic heat transport and strong spin-phonon scattering
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• Integrability breaking in the Rule 54 cellular automaton
• Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
• Integrable spin chains and cellular automata with medium range interaction
• Analytical results for the low-temperature Drude weight of the XXZ spin chain
• Quantum phase transitions and thermodynamics of quantum antiferromagnets with competing interactions
• Thermal Conductivity due to Spinons in the One-Dimensional Quantum Spin System Sr2V3O9
• Large thermomagnetic effects in weakly disordered Heisenberg chains
• Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
• Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
• Thermally driven classical Heisenberg model in one dimension
• Boltzmann equation approach to transport in finite modular quantum systems
• Quantum Heat Transport: Perturbation Theory in Liouville Space
• Current mean values in the XYZ model
• Anisotropic field dependence of the magnetic transition in Cu2Te2O5Br2
• Transport in anisotropic model systems analyzed by a correlated projection superoperator technique
• The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study
• Magnon transport and spin current switching through quantum dots
• Energy-twisted boundary condition and response in one-dimensional quantum many-body systems
• Thermal Conductivity of the Quasi One-Dimensional Spin System Sr_2_V_3_O_9_
• Non-linear Transport by Bethe Bound States
• Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Heat conductivity of the spin-Peierls compounds TiOCl and TiOBr
• Entropy flow in near-critical quantum circuits
• Thermal transport properties of disordered spin-1/2 systems
• Transport properties of a spin-1/2 Heisenberg chain with an embedded spin-S impurity
• The thermal conductivity of alternating spin chains
• Thermal Drude weight in an integrable chiral clock model
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Isolated spin ladders in Ln${}_2$Ti${}_9$Sb${}_{11}$ (Ln:La-Nd) metals
• Ballistic particle transport and Drude weight in gases
• Scattering of spinon excitations by potentials in the 1D Heisenberg model
• Canonical formulation for the thermodynamics of $s{l}_n$-invariant integrable spin chains
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach