Thermomagnetic Power and Figure of Merit for Spin-1/2 Heisenberg Chain

Abstract

Transport properties in the presence of magnetic fields are numerically studied for the spin-1/2 Heisenberg XXZ chain. The breakdown of the spin-reversal symmetry due to the magnetic field induces the magnetothermal effect. In analogy with the thermoelectric effect in electron systems, the thermomagnetic power (magnetic Seebeck coefficient) is provided, and is numerically evaluated by the exact diagonalization for wide ranges of temperatures and various magnetic fields. For the antiferromagnetic regime, we find the magnetic Seebeck coefficient changes sign at certain temperatures, which is interpreted as an effect of strong correlations. We also compute the thermomagnetic figure of merit determining the efficiency of the thermomagnetic devices for cooling or power generation.

arXiv comment8 pages

References in corpus (26)

• Transport and conservation laws
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• 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
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
• Thermal conductivity and specific heat of the linear chain cuprate Sr${}_2$CuO${}_3$: Evidence for thermal transport via spinons
• Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
• Low-temperature transport in Heisenberg chains
• Thermal conductivity of anisotropic and frustrated spin-1/2 chains
• Thermal Conductivity of Spin-1/2 Chains
• Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
• Thermal transport in one-dimensional spin gap systems
• High temperature thermal conductivity of 2-leg spin-1/2 ladders
• Thermal transport of the XXZ chain in a magnetic field
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Anomalous thermal conductivity of frustrated Heisenberg spin-chains and ladders
• Non-dissipative thermal transport in the massive regimes of the XXZ chain
• Transport anomaly in the low energy regime of spin chains
• Diverging magnetothermal response in the one-dimensional Heisenberg chain
• Universal behavior of spin-mediated energy transport in S=1/2 chain cuprates: BaCu2Si2O7 as an example
• Diffusive transport in spin-1 chains at high temperatures
• Enhancement of the Thermal Conductivity in gapped Quantum Spin Chains
• 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

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