Spin and thermal conductivity in classical disordered spin chain

Abstract

Transport quantities of the classical spin chain with the quenched disorder in the antiferromagnetic coupling $J_i$ are evaluated using the dynamical simulation at finite temperatures $T>0$ . Since the classical model is nonintegrable, spin and thermal conductivities remain finite even in the pure case. On the other hand, the role of disorder becomes crucial at low $T$ leading to a vanishing transport due to the Anderson localization within the linearized regime. The crossover from the insulator to the conductor appears both for the spin and thermal transport at quite low $T^{\ast }\ll J$. Still the many-body localization regime at $T>0$ evidenced by extremely short mean free paths can be strongly enhanced by introducing into the model an additional staggered field.

5 pages, 5 figures

References in corpus (10)

• Localization of interacting fermions at high temperature
• Unbounded growth of entanglement in models of many-body localization
• Effect of phonon-phonon interactions on localization
• Finite temperature transport in disordered Heisenberg chains
• Spinon heat transport and spin-phonon interaction in the antiferromagnetic spin-1/2 Heisenberg chain cuprates Sr2CuO3 and SrCuO2
• Spin transport in the XXZ model at high temperatures: Classical dynamics versus quantum S=1/2 autocorrelations
• Local spin relaxation within the random Heisenberg chain
• 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
• Ordering in weakly coupled random singlet spin chains
• Antiferromagnetic order in weakly coupled random spin chains

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• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Decay of spin-spin correlations in disordered quantum and classical spin chains
• Effects of magnetic anisotropy on spin and thermal transports in classical antiferromagnets on the square lattice
• Spin current as a probe of the ${\mathbb{Z}}_2$-vortex topological transition in the classical Heisenberg antiferromagnet on the triangular lattice
• Energy repartition in the nonequilibrium steady state
• Spin and thermal transport and critical phenomena in three-dimensional antiferromagnets
• Thermal Conductivity of Square Ice
• Spin and energy diffusion vs. subdiffusion in disordered spin chains
• Lindblad quantum dynamics from correlation functions of classical spin chains