Superdiffusion from Emergent Classical Solitons in Quantum Spin Chains
Abstract
Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics; the results agree well with density-matrix renormalization group simulations. Here, we establish a rigorous quantum-classical correspondence between the “giant quasiparticles” that govern superdiffusion and solitons in the classical continuous Landau-Lifshitz ferromagnet. We conclude that KPZ universality has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.
- Authors:
-
- Univ. of Ghent (Belgium)
- CUNY College of Staten Island, Staten Island, NY (United States); CUNY, NY (United States)
- Univ. of Ljubljana (Slovenia)
- Univ. of Massachusetts, Amherst, MA (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)
- OSTI Identifier:
- 1647653
- Grant/Contract Number:
- SC0019168; DMR-1653271
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 7; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Transport phenomena; 1-dimensional spin chains; Kardar-Parisi-Zhang equation; Solitons
Citation Formats
De Nardis, Jacopo, Gopalakrishnan, Sarang, Ilievski, Enej, and Vasseur, Romain. Superdiffusion from Emergent Classical Solitons in Quantum Spin Chains. United States: N. p., 2020.
Web. doi:10.1103/physrevlett.125.070601.
De Nardis, Jacopo, Gopalakrishnan, Sarang, Ilievski, Enej, & Vasseur, Romain. Superdiffusion from Emergent Classical Solitons in Quantum Spin Chains. United States. https://doi.org/10.1103/physrevlett.125.070601
De Nardis, Jacopo, Gopalakrishnan, Sarang, Ilievski, Enej, and Vasseur, Romain. Wed .
"Superdiffusion from Emergent Classical Solitons in Quantum Spin Chains". United States. https://doi.org/10.1103/physrevlett.125.070601. https://www.osti.gov/servlets/purl/1647653.
@article{osti_1647653,
title = {Superdiffusion from Emergent Classical Solitons in Quantum Spin Chains},
author = {De Nardis, Jacopo and Gopalakrishnan, Sarang and Ilievski, Enej and Vasseur, Romain},
abstractNote = {Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics; the results agree well with density-matrix renormalization group simulations. Here, we establish a rigorous quantum-classical correspondence between the “giant quasiparticles” that govern superdiffusion and solitons in the classical continuous Landau-Lifshitz ferromagnet. We conclude that KPZ universality has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.},
doi = {10.1103/physrevlett.125.070601},
journal = {Physical Review Letters},
number = 7,
volume = 125,
place = {United States},
year = {Wed Aug 12 00:00:00 EDT 2020},
month = {Wed Aug 12 00:00:00 EDT 2020}
}
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