Details
| Original language | English |
|---|---|
| Article number | 195439 |
| Number of pages | 12 |
| Journal | Physical Review B |
| Volume | 110 |
| Issue number | 19 |
| Publication status | Published - 26 Nov 2024 |
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.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 110, No. 19, 195439, 26.11.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Hydrodynamics of spin transport in the Haldane-Shastry chain
AU - Bulchandani, Vir B.
AU - Ha, Hyunsoo
N1 - Publisher Copyright: © 2024 American Physical Society.
PY - 2024/11/26
Y1 - 2024/11/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85210760300&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2407.08727
DO - 10.48550/arXiv.2407.08727
M3 - Article
AN - SCOPUS:85210760300
VL - 110
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 19
M1 - 195439
ER -