Hydrodynamics of spin transport in the Haldane-Shastry chain

verfasst von: 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.
Organisationseinheit(en): Institut für Theoretische Physik
Externe Organisation(en): Princeton University
Typ: Artikel
Journal: Physical Review B
Band: 110
Anzahl der Seiten: 12
ISSN: 2469-9950
Publikationsdatum: 26.11.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie
Elektronische Version(en): https://doi.org/10.48550/arXiv.2407.08727 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.110.195439 (Zugang: Geschlossen)