Publication Date:
2018-01-09
Description:
Author(s): Vir B. Bulchandani, Romain Vasseur, Christoph Karrasch, and Joel E. Moore 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. [Phys. Rev. B 97, 045407] Published Mon Jan 08, 2018
Keywords:
Surface physics, nanoscale physics, low-dimensional systems
Print ISSN:
1098-0121
Electronic ISSN:
1095-3795
Topics:
Physics
