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DY: Fachverband Dynamik und Statistische Physik

DY 44: Poster: Statistical Physics

DY 44.23: Poster

Thursday, March 30, 2023, 13:00–16:00, P1

The spin Drude weight of the spin-1/2 XXZ chain — •Svyatoslav Karabin and Andreas Klümper — Bergische Universität Wuppertal, Wuppertal, Germany

The Drude weight for the spin transport of the spin-1/2 XXZ Heisenberg chain in the critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic Bethe ansatz with the functional relations of type Y-system satisfied by the row-to-row transfer matrices. This makes it possible to evaluate the asymptotic behaviour of the finite temperature spin Drude weight with respect to the system size. For large finite system sizes, the Drude weight shows a strong dependence on the particular microstate chosen out of the thermal ensemble. The relation of these results in comparison to Zotos' results (Phys. Rev. Lett. 82, 1764 (1999)) will be discussed.