Diverging magnetothermal response in the one-dimensional Heisenberg chain

Abstract

A current of magnetic moments will flow in the spin-1/2 Heisenberg chain in the presence of an external magnetic field $B$ and a temperature gradient $\Delta T$ along the chain. We show that this magnetothermal effect is strictly {\em infinite} for the integrable Heisenberg-model in one dimension. We set-up the response formalism and derive several new generalized Einstein relations for this magnetothermal effect which vanishes in the absence of an external magnetic field. We estimate the size of the magnetothermal response by exact diagonalization and Quantum Monte Carlo and make contact with recent transport measurements for the one-dimensional Heisenberg compound $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_3$.

10 pages, 5 figures

References in corpus (9)

• Magnetization transport and quantized spin conductance
• 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
• The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
• 17O NMR study of q=0 spin excitations in a nearly ideal S=1/2 1D Heisenberg antiferromagnet, Sr2CuO3, up to 800 K
• Low-temperature transport in Heisenberg chains
• Thermal conductivity of anisotropic and frustrated spin-1/2 chains
• Anomalous thermal conductivity of frustrated Heisenberg spin-chains and ladders
• Conductivity of quantum-spin chains: A Quantum Monte Carlo approach

Cited by in corpus (28)

• Finite-temperature transport in one-dimensional quantum lattice models
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Thermal conductivity via magnetic excitations in spin-chain materials
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Spin transport in Heisenberg antiferromagnets
• Magnetothermal transport in the spin-1/2 chains of copper pyrazine dinitrate
• Heat transport in the $XXZ$ spin chain: from ballistic to diffusive regimes and dephasing enhancement
• Thermal transport of the XXZ chain in a magnetic field
• Reversal of Thermal Rectification in Quantum Systems
• Expansion potentials for exact far-from-equilibrium spreading of particles and energy
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Control of heat transport in quantum spin systems
• Thermomagnetic Power and Figure of Merit for Spin-1/2 Heisenberg Chain
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Transport in one-dimensional integrable quantum systems
• Non-dissipative Thermal Transport and Magnetothermal Effect for the Spin-1/2 Heisenberg Chain
• Thermoelectric power in one-dimensional Hubbard model
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
• 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
• Spin rectification in thermally driven XXZ spin chain via the spin-Seebeck effect
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• Energy and particle currents in a driven integrable system
• Transport properties of a spin-1/2 Heisenberg chain with an embedded spin-S impurity
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Scattering of spinon excitations by potentials in the 1D Heisenberg model