Diffusive transport in spin-1 chains at high temperatures

Abstract

We present a numerical study on the spin and thermal conductivities of the spin-1 Heisenberg chain in the high temperature limit, in particular of the Drude weight contribution and frequency dependence. We use the Exact Diagonalization and the recently developed microcanonical Lanczos method; it allows us a finite size scaling analysis by the study of significantly larger lattices. This work, pointing to a diffusive rather than ballistic behavior is discussed with respect to other recent theoretical and experimental studies.

References in corpus (19)

• Transport and conservation laws
• 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
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Conductivity of a clean one-dimensional wire
• Low temperature spin diffusion in the one-dimensional quantum $O(3)$ nonlinear $\sigma$-model
• Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm
• Thermal conductivity of anisotropic and frustrated spin-1/2 chains
• Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
• Thermal transport in one-dimensional spin gap systems
• High temperature thermal conductivity of 2-leg spin-1/2 ladders
• Anomalous thermal conductivity of frustrated Heisenberg spin-chains and ladders
• Transport anomaly in the low energy regime of spin chains
• Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems
• Universal behavior of spin-mediated energy transport in S=1/2 chain cuprates: BaCu2Si2O7 as an example
• Diffusive energy transport in the S=1 Haldane chain compound AgVP2S6
• Spin and energy correlations in the one dimensional spin 1/2 Heisenberg model
• Intermediate temperature dynamics of one-dimensional Heisenberg antiferromagnets

Cited by in corpus (22)

• Finite-temperature transport in one-dimensional quantum lattice models
• Heat conduction in low-dimensional quantum magnets
• Thermal conductivity via magnetic excitations in spin-chain materials
• Superdiffusion in spin chains
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Spin and thermal conductivity of quantum spin ladders
• Field-dependent thermal transport in the Haldane chain compound NENP
• Heat transport of cuprate-based low-dimensional quantum magnets with strong exchange coupling
• Thermomagnetic Power and Figure of Merit for Spin-1/2 Heisenberg Chain
• Decay of currents for strong interactions
• Spin thermal conductivity of the Haldane chain compound Y2BaNiO5
• Dynamical correlations and quantum phase transition in the quantum Potts model
• Spin transport in the Neel and collinear antiferromagnetic phase of the two dimensional spatial and spin anisotropic Heisenberg model on a square lattice
• Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures
• Preparation of Low Entropy Correlated Many-body States via Conformal Cooling Quenches
• Spin and thermal conductivity in classical disordered spin chain
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Finite Temperature Dynamics of the Spin 1/2 Bond Alternating Heisenberg Antiferromagnetic Chain
• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• Low-temperature heat transport of spin-gapped quantum magnets
• Spin Transport Properties in Heisenberg Antiferromagnetic Spin Chains: Spin Current induced by Twisted Boundary Magnetic Fields
• Large magnetic heat transport in a Haldane chain material Ni(C$_3H_{10}N_2)_2NO_2ClO_4