Thermal conductivity of a classical one dimensional spin-phonon system
arXiv:cond-mat/0605110 · doi:10.1103/PhysRevB.75.214305
Abstract
We investigate the thermal conductivity of the classical Heisenberg spin chain coupled to a variety of phonon systems using a Green-Kubo approach as well as coupling to heat reservoirs. The decay of energy current correlations is power law or exponential, depending on the type of (an)harmonicity of the phonon system and the presence of a substrate. In particular, we find that coupling the spin system to displacements with an acoustic type harmonic inter-site potential leads to a diverging thermal conductivity. Adding a substrate, harmonic or periodic such as sine-Gordon, drives the system to diffusive behavior. With anharmonic potential without a substrate the generic transport is diffusive even for the integrable Toda potential, while for the FPU chain is ballistic.
4 pages, 4 figures
References in corpus (12)
- Thermal conduction in classical low-dimensional lattices
- Anomalous heat conduction in one dimensional momentum-conserving systems
- Heat conduction in one dimensional chains
- On the anomalous thermal conductivity of one-dimensional lattices
- 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
- Thermal conductivity via magnetic excitations in spin-chain materials
- Relaxation of classical many-body hamiltonians in one dimension
- Thermal Conductivity of Spin-1/2 Chains
- Heat conduction in 1D lattices with on-site potential
- Thermal conductivity of quasi-one-dimensional antiferromagnetic spin-chain materials
- Diffusive energy transport in the S=1 Haldane chain compound AgVP2S6
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- Change of entropy for the one-dimensional ballistic heat equation: Sinusoidal initial perturbation
- Energy repartition in the nonequilibrium steady state
- Large thermomagnetic effects in weakly disordered Heisenberg chains
- First-Principle Validation of Fourier's Law: One-Dimensional Classical Inertial Heisenberg Model
- Thermally driven classical Heisenberg model in one dimension with a local time-varying field