Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
Abstract
Here, we address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$$S$$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time decay $$\propto t^{-1/z}$$ of the spin-spin correlation function at infinite temperature, using state-of-the-art simulations based on tensor network methods. We identify three universal regimes for the spin transport, independent of the exact microscopic model: (i) superdiffusive with $z=3/2$, as in the Kardar-Parisi-Zhang universality class, when the model is integrable with extra symmetries such as spin isotropy that drive the Drude weight to zero, (ii) ballistic with $z=1$ when the model is integrable with a finite Drude weight, and (iii) diffusive with $z=2$ with easy-axis anisotropy or without integrability, at variance with previous observations.
- Authors:
-
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1580976
- Alternate Identifier(s):
- OSTI ID: 1604495
- Grant/Contract Number:
- AC02-05CH11231; AC02-05-CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 12; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Dupont, Maxime, and Moore, Joel E. Universal spin dynamics in infinite-temperature one-dimensional quantum magnets. United States: N. p., 2020.
Web. doi:10.1103/PhysRevB.101.121106.
Dupont, Maxime, & Moore, Joel E. Universal spin dynamics in infinite-temperature one-dimensional quantum magnets. United States. https://doi.org/10.1103/PhysRevB.101.121106
Dupont, Maxime, and Moore, Joel E. Thu .
"Universal spin dynamics in infinite-temperature one-dimensional quantum magnets". United States. https://doi.org/10.1103/PhysRevB.101.121106. https://www.osti.gov/servlets/purl/1580976.
@article{osti_1580976,
title = {Universal spin dynamics in infinite-temperature one-dimensional quantum magnets},
author = {Dupont, Maxime and Moore, Joel E.},
abstractNote = {Here, we address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$S$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time decay $\propto t^{-1/z}$ of the spin-spin correlation function at infinite temperature, using state-of-the-art simulations based on tensor network methods. We identify three universal regimes for the spin transport, independent of the exact microscopic model: (i) superdiffusive with $z=3/2$, as in the Kardar-Parisi-Zhang universality class, when the model is integrable with extra symmetries such as spin isotropy that drive the Drude weight to zero, (ii) ballistic with $z=1$ when the model is integrable with a finite Drude weight, and (iii) diffusive with $z=2$ with easy-axis anisotropy or without integrability, at variance with previous observations.},
doi = {10.1103/PhysRevB.101.121106},
journal = {Physical Review B},
number = 12,
volume = 101,
place = {United States},
year = {Thu Mar 12 00:00:00 EDT 2020},
month = {Thu Mar 12 00:00:00 EDT 2020}
}
Web of Science
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