Heat transport in quantum spin chains: the relevance of integrability

Abstract

We investigate heat transport in various quantum spin chains, using the projector operator technique. We find that anomalous heat transport is linked not to the integrability of the Hamiltonian, but to whether it can be mapped to a model of non-interacting fermions. Our results also suggest how seemingly anomalous transport may occur at low temperatures in a much wider class of models.

4 pages, 2figs

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• Steady state thermal transport in anharmonic systems: Application to molecular junctions
• Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Superdiffusive transport of energy in one-dimensional metals
• Criticality in transport through the quantum Ising chain
• Nonequilibrium Quantum Phase Transitions in the XY model: comparison of unitary time evolution and reduced density matrix approaches
• Bath assisted transport in a three-site spin chain: global {\sl vs} local approach
• Exact steady state of the open XX-spin chain: entanglement and transport properties
• A perturbative method for nonequilibrium steady state of open quantum systems
• Quantum-to-Classical Reduction of Quantum Master Equations
• Dephasing enhanced transport in nonequilibrium strongly correlated quantum systems
• Theory of quantum energy transfer in spin chains: From superexchange to ballistic motion
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Origin of Temperature Gradient in Nonequilibrium Steady States in Weakly Coupled Quantum Spin Systems
• Nonequilibrium Steady States in the Weakly-Coupled XXZ Model
• Energy transport in Z3 chiral clock model