Spin transport in the XXZ chain at finite temperature and momentum

Abstract

We investigate the role of momentum for the transport of magnetization in the spin-1/2 Heisenberg chain above the isotropic point at finite temperature and momentum. Using numerical and analytical approaches, we analyze the autocorrelations of density and current and observe a finite region of the Brillouin zone with diffusive dynamics below a cut-off momentum, and a diffusion constant independent of momentum and time, which scales inversely with anisotropy. Lowering the temperature over a wide range, starting from infinity, the diffusion constant is found to increase strongly while the momentum space cut-off for diffusion decreases. Above the cut-off momentum diffusion breaks down completely.

5 pages, 5 figures (figure 2 added)

References in corpus (13)

• Electronic measurement and control of spin transport in Silicon
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Spin transport in a one-dimensional anisotropic Heisenberg model
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Transport in open spin chains: A Monte Carlo wave-function approach
• Integrable Mott insulators driven by finite electric field
• Finite Drude weight for 1D low temperature conductors
• Quantum critical dynamics of a S = 1/2 antiferromagnetic Heisenberg chain studied by 13C-NMR spectroscopy
• Decay of currents for strong interactions
• Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures
• Transport in one dimensional quantum systems

Cited by in corpus (64)

• Finite-temperature transport in one-dimensional quantum lattice models
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Eigenstate thermalization within isolated spin-chain systems
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Spin-current autocorrelations from single pure-state propagation
• Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
• Diffusion in deterministic interacting lattice systems
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• Sudden expansion of Mott insulators in one dimension
• The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
• Eigenstate thermalization hypothesis through the lens of autocorrelation functions
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Spin and thermal conductivity of quantum spin ladders
• Anomalous transport from hot quasiparticles in interacting spin chains
• Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
• Scaling of diffusion constants in the spin-1/2 XX ladder
• Anomalous low-frequency conductivity in easy-plane XXZ spin chains
• Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability
• A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Coexistence of Anomalous and Normal Diffusion in Integrable Mott Insulators
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Spin transport in the XXZ model at high temperatures: Classical dynamics versus quantum S=1/2 autocorrelations
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
• Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
• Eigenvalue statistics of reduced density matrix during driving and relaxation
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Large magnetic anisotropy in quasi one-dimensional spin-1/2 fluoride antiferromagnets with a d(z2)1 ground state
• Charge diffusion in the one-dimensional Hubbard model
• Quantum Hydrodynamics in Spin Chains with Phase Space Methods
• Energy dynamics in the Heisenberg-Kitaev chain
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Persistent dynamics in the S=1/2 quasi-one-dimensional chain compound Rb4Cu(MoO4)3 probed with muon-spin relaxation
• Optimal transport and von Neumann entropy in an Heisenberg XXZ chain out of equilibrium
• A Nonequilibrium quantum phase transition in strongly coupled spin chains
• Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
• Hydrodynamic relaxation of spin helices
• Peltier effect in strongly driven quantum wires
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• The excitation operator method in the spin dynamics of the one-dimensional XXZ model
• Burnett coefficients in quantum many-body systems
• Energy and particle currents in a driven integrable system
• Reversal of relaxation due to dephasing environment
• Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder
• Identifying mobility edge from finite temperature spectral form factor
• Inhomogeneous quantum quenches in the sine-Gordon theory
• Energy current and energy fluctuations in driven quantum wires