• Open Access

Anomalous relaxation of density waves in a ring-exchange system

Pranay Patil, Markus Heyl, and Fabien Alet
Phys. Rev. E 107, 034119 – Published 14 March 2023

Abstract

We present the analysis of the slowing down exhibited by stochastic dynamics of a ring-exchange model on a square lattice, by means of numerical simulations. We find the preservation of coarse-grained memory of initial state of density-wave types for unexpectedly long times. This behavior is inconsistent with the prediction from a low frequency continuum theory developed by assuming a mean-field solution. Through a detailed analysis of correlation functions of the dynamically active regions, we exhibit an unconventional transient long ranged structure formation in a direction which is featureless for the initial condition, and argue that its slow melting plays a crucial role in the slowing-down mechanism. We expect our results to be relevant also for the dynamics of quantum ring-exchange dynamics of hard-core bosons and more generally for dipole moment conserving models.

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  • Received 5 December 2022
  • Accepted 27 February 2023

DOI:https://doi.org/10.1103/PhysRevE.107.034119

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Pranay Patil1,2, Markus Heyl1,3, and Fabien Alet2

  • 1Max-Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
  • 2Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31400 Toulouse, France
  • 3Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany

Article Text

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Issue

Vol. 107, Iss. 3 — March 2023

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