Heat transport of clean spin-ladders coupled to phonons: Umklapp scattering and drag

Abstract

We study the low-temperature heat transport in clean two-leg spin ladder compounds coupled to three-dimensional phonons. We argue that the very large heat conductivities observed in such systems can be traced back to the existence of approximate symmetries and corresponding weakly violated conservation laws of the effective (gapful) low--energy model, namely pseudo-momenta. Depending on the ratios of spin gaps and Debye energy and on the temperature, the magnetic contribution to the heat conductivity can be positive or negative, and exhibit an activated or anti-activated behavior. In most regimes, the magnetic heat conductivity is dominated by the spin-phonon drag: the excitations of the two subsystems have almost the same drift velocity, and this allows for an estimate of the ratio of the magnetic and phononic contributions to the heat conductivity.

arXiv commentrevised version, 8 pages, 3 figures, added appendix

References in corpus (14)

• Transport and conservation laws
• Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
• Magnon Heat Transport in (Sr,La)_14Cu_24O_41
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Conductivity of a clean one-dimensional wire
• Thermal conductivity and specific heat of the linear chain cuprate Sr${}_2$CuO${}_3$: Evidence for thermal transport via spinons
• Thermal Conductivity of Spin-1/2 Chains
• Thermal transport in one-dimensional spin gap systems
• Low temperature correlation functions in integrable models: Derivation of the large distance and time asymptotics from the form factor expansion
• High temperature thermal conductivity of 2-leg spin-1/2 ladders
• Lower bounds for the conductivities of correlated quantum systems
• Thermal transport in antiferromagnetic spin-chain materials
• Dynamical correlations and quantum phase transition in the quantum Potts model

Cited by in corpus (23)

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Finite-temperature transport in one-dimensional quantum lattice models
• Heat conduction in low-dimensional quantum magnets
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Coexistence of diffusive and ballistic transport in a simple spin ladder
• Real-time energy dynamics in spin-1/2 Heisenberg chains
• Thermal transport in one-dimensional spin heterostructures
• 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
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Spinon localization in the heat transport of the spin-1/2 ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• Superconductor-Insulator Magneto-Oscillations in Superconducting Strips
• Thermal drag revisited: Boltzmann versus Kubo
• Large thermomagnetic effects in weakly disordered Heisenberg chains
• Alternating Superconductor--Insulator Transport Characteristics in a Quantum Vortex Chain
• Thermal conductivity of anisotropic spin - 1/2 two leg ladder:Green's function approach
• Thermal drag in spin ladders coupled to phonons
• Helical quantum Hall Edge modes in bilayer graphene: a realization of quantum spin-ladders
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets