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  • Letter
  • Open Access

Arresting dynamics in hardcore spin models

Benedikt Placke1, Grace M. Sommers2, S. L. Sondhi2,3, and Roderich Moessner1

  • 1Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
  • 2Department of Physics, Princeton University, Princeton, New Jersey 08540, USA
  • 3Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom

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Phys. Rev. B 107, L180302 – Published 5 May, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L180302

Abstract

We study the dynamics of hardcore spin models on the square and triangular lattice, constructed by analogy to hard spheres, where the translational degrees of freedom of the spheres are replaced by orientational degrees of freedom of spins on a lattice and the packing fraction as a control parameter is replaced by an exclusion angle. In equilibrium, models on both lattices exhibit a Kosterlitz-Thouless transition at an exclusion angle ΔKT. We devise compression protocols for hardcore spins and find that any protocol that changes the exclusion angle nonadiabatically, if endowed with only local dynamics, fails to compress random initial states beyond an angle ΔJ>ΔKT. This coincides with a doubly algebraic divergence of the relaxation time of compressed states toward equilibrium. We identify a remarkably simple mechanism underpinning this divergent timescale: topological defects involved in the phase ordering kinetics of the system become incompatible with the hardcore spin constraint, leading to a vanishing defect mobility as Δ→ΔJ.

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Phys. Rev. B 107, L180302– Published 5 May, 2023
  • Received 2 December 2021
  • Revised 25 October 2022
  • Accepted 5 April 2023
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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.

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