Non-dissipative Thermal Transport and Magnetothermal Effect for the Spin-1/2 Heisenberg Chain

Abstract

Anomalous magnetothermal effects are discussed in the spin-1/2 Heisenberg chain. The energy current is related to one of the non-trivial conserved quantities underlying integrability and therefore both the diagonal and off diagonal dynamical correlations of spin and energy current diverge. The energy-energy and spin-energy current correlations at finite temperatures are exactly calculated by a lattice path integral formulation. The low-temperature behavior of the thermomagnetic (magnetic Seebeck) coefficient is also discussed. Due to effects of strong correlations, we observe the magnetic Seebeck coefficient changes sign at certain interaction strengths and magnetic fields.

4 pages, references added, typos corrected, Conference proceedings of SPQS 2004, Sendai, Japan

References in corpus (6)

• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Thermal conductivity of anisotropic and frustrated spin-1/2 chains
• Thermal transport in one-dimensional spin gap systems
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Non-dissipative thermal transport in the massive regimes of the XXZ chain
• Diverging magnetothermal response in the one-dimensional Heisenberg chain

Cited by in corpus (18)

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• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Magnetothermal transport in the spin-1/2 chains of copper pyrazine dinitrate
• Transport in open spin chains: A Monte Carlo wave-function approach
• Expansion potentials for exact far-from-equilibrium spreading of particles and energy
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Thermomagnetic Power and Figure of Merit for Spin-1/2 Heisenberg Chain
• A TBA description of thermal transport in the XXZ Heisenberg model
• Spin and magnetothermal transport in the S = 1/2 XXZ chain
• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Scattering of spinon excitations by potentials in the 1D Heisenberg model