Hydrodynamics of spin transport in the Haldane-Shastry chain

authored by

Vir B. Bulchandani, Hyunsoo Ha

Abstract

We use kinetic theory and the thermodynamic Bethe ansatz to derive the hydrodynamics of spin transport in the Haldane-Shastry chain. We obtain analytical expressions for relaxation from weak-domain-wall initial conditions and corresponding predictions for the spin Drude weight. We corroborate the latter against an exact microscopic calculation at infinite temperature and Luttinger-liquid expectations at zero temperature. We further obtain an analytical expression for the long-wavelength dynamics of the longitudinal spin structure factor at all fillings and temperatures. We show that the latter interpolates between an empirically exact expression that we have found at infinite temperature and the long-wavelength limit of the Haldane-Zirnbauer formula at zero temperature.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

Princeton University

Type

Article

Journal

Physical Review B

Volume

110

No. of pages

12

ISSN

2469-9950

Publication date

26.11.2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Electronic version(s)

https://doi.org/10.48550/arXiv.2407.08727 (Access: Open)
https://doi.org/10.1103/PhysRevB.110.195439 (Access: Closed)