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Title: Spin crossovers and superdiffusion in the one-dimensional Hubbard model

Abstract

We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization, focusing on the strong coupling regime where we identify a rich interplay of temperature and energy scales, with crossovers between distinct dynamical regimes. We identify an intermediate-temperature regime analogous to the spin-incoherent Luttinger liquid, where spin degrees of freedom are hot but charge degrees of freedom are at low temperature. We demonstrate that the spin Drude weight exhibits sharp features at the crossover between this regime and the low-temperature Luttinger liquid regime, which are absent in the charge and energy response, and rationalize this behavior in terms of the properties of Bethe ansatz quasiparticles.We then turn to the dynamics along special lines in the phase diagram corresponding to half-filling and/or zero magnetization where on general grounds we anticipate that the transport is subballistic but superdiffusive. We provide analytical and numerical evidence for Kardar-Parisi-Zhang (KPZ) dynamical scaling (with length and time scales related via x ~ t2/3) along both lines and at the SO(4)-symmetric point where they intersect. Furthermore, our results suggest that both spin-coherence crossovers and KPZ scaling maymore » be accessed in near-term experiments with optical lattice Hubbard emulators.« less

Authors:
ORCiD logo [1];  [2];  [3];  [2]; ORCiD logo [1]
  1. Clarendon Laboratory, Oxford (United Kingdom)
  2. University of Massachusetts, Amherst, MA (United States)
  3. CUNY College of Staten Island, NY (United States); CUNY, New York, NY (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:
1663368
Grant/Contract Number:  
SC0019168; DMR-1653271
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 102; Journal Issue: 11; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum statistical mechanics; Quantum transport; Strongly correlated systems; Hubbard model; Hydrodynamics; Integrable systems

Citation Formats

Fava, Michele, Ware, Brayden, Gopalakrishnan, Sarang, Vasseur, Romain, and Parameswaran, S. A. Spin crossovers and superdiffusion in the one-dimensional Hubbard model. United States: N. p., 2020. Web. https://doi.org/10.1103/physrevb.102.115121.
Fava, Michele, Ware, Brayden, Gopalakrishnan, Sarang, Vasseur, Romain, & Parameswaran, S. A. Spin crossovers and superdiffusion in the one-dimensional Hubbard model. United States. https://doi.org/10.1103/physrevb.102.115121
Fava, Michele, Ware, Brayden, Gopalakrishnan, Sarang, Vasseur, Romain, and Parameswaran, S. A. Thu . "Spin crossovers and superdiffusion in the one-dimensional Hubbard model". United States. https://doi.org/10.1103/physrevb.102.115121.
@article{osti_1663368,
title = {Spin crossovers and superdiffusion in the one-dimensional Hubbard model},
author = {Fava, Michele and Ware, Brayden and Gopalakrishnan, Sarang and Vasseur, Romain and Parameswaran, S. A.},
abstractNote = {We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization, focusing on the strong coupling regime where we identify a rich interplay of temperature and energy scales, with crossovers between distinct dynamical regimes. We identify an intermediate-temperature regime analogous to the spin-incoherent Luttinger liquid, where spin degrees of freedom are hot but charge degrees of freedom are at low temperature. We demonstrate that the spin Drude weight exhibits sharp features at the crossover between this regime and the low-temperature Luttinger liquid regime, which are absent in the charge and energy response, and rationalize this behavior in terms of the properties of Bethe ansatz quasiparticles.We then turn to the dynamics along special lines in the phase diagram corresponding to half-filling and/or zero magnetization where on general grounds we anticipate that the transport is subballistic but superdiffusive. We provide analytical and numerical evidence for Kardar-Parisi-Zhang (KPZ) dynamical scaling (with length and time scales related via x ~ t2/3) along both lines and at the SO(4)-symmetric point where they intersect. Furthermore, our results suggest that both spin-coherence crossovers and KPZ scaling may be accessed in near-term experiments with optical lattice Hubbard emulators.},
doi = {10.1103/physrevb.102.115121},
journal = {Physical Review B},
number = 11,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

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