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Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Open accessAbstract
The anomalous nature of spin transport in the XXZ quantum spin chain has been a topic of theoretical interest for some time. Here, the integrability of the underlying dynamics leads to a ballistic component of the spin current, characterized by a spin Drude weight, which measures the degree of divergence of the zero-frequency spin conductivity. However, this quantity had previously proven to be beyond the reach of standard Bethe ansatz techniques. Here, the authors show that a recently developed hydrodynamic formalism for quantum integrable models may be used to compute the spin Drude weight. They also propose a numerical scheme to obtain hydrodynamic predictions for finite-time energy transport. This suggests that the hydrodynamic approach captures completely the ballistic component that dominates transport at long times and distances in the gapless regime of the XXZ model.
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Metadata
- Authors
- Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2018-01-08
- Volume
- 97
- Issue
- 4
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2590240188
- Cited by
- 292
- References
- 57
- FWCI
- 21.03
- Type
- journal article
- Language
- en
- Open access
- bronze
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