Spin transport in a one-dimensional anisotropic Heisenberg model
arXiv:1103.4094 · doi:10.1103/PhysRevLett.106.220601
Abstract
We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic for Delta<1 to anomalous at the isotropic point Delta=1, to diffusive for finite Delta>1, ending up as a perfect isolator in the Ising limit of infinite Delta. Using perturbation theory for large Delta a quantitative prediction is made for the dependence of diffusion constant on Delta.
5 pages, 4 figures; v2.: few comments added and typos corrected; published version
References in corpus (10)
- An Open-System Quantum Simulator with Trapped Ions
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- 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
- Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
- Spin conductivity in almost integrable spin chains
- Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
- Density dynamics from current auto-correlations at finite time- and length-scales