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Spin Transport in a One-Dimensional Anisotropic Heisenberg Model
Open accessAbstract
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 Δ is varied spin transport changes from ballistic for Δ<1 to anomalous at the isotropic point Δ=1, to diffusive for finite Δ>1, ending up as a perfect isolator in the Ising limit of infinite Δ. Using perturbation theory for large Δ a quantitative prediction is made for the dependence of diffusion constant on Δ.
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Cites
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
Bethe, H. (1931) · Zeitschrift f�r Physik · doi:10.1007/bf01341708 · Cited by 3,768
Trotzky, S., Cheinet, P., Fölling, S., Feld, M., Schnorrberger, U., Rey, A. M., Polkovnikov, A., Demler, E. A., Lukin, M. D., & Bloch, I. (2008) · Science · doi:10.1126/science.1150841 · Cited by 698
Cited by
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.045407 · Cited by 292
Microscopic theory of a nonequilibrium open bosonic chain
Santos, J. P., & Landi, G. T. (2016) · Physical Review E · doi:10.1103/physreve.94.062143 · Cited by 38
Metadata
- Authors
- Žnidarič, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-05-31
- Volume
- 106
- Issue
- 22
- Pages
- 220601-220601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2127668565
- Cited by
- 335
- References
- 2
- FWCI
- 10.43
- Type
- journal article
- Language
- en
- Open access
- green
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