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Title: Avoided criticality and slow relaxation in frustrated two-dimensional models

Here, frustration and the associated phenomenon of “avoided criticality” have been proposed as an explanation for the dramatic relaxation slowdown in glass-forming liquids. To test this, we have undertaken a Monte Carlo study of possibly the simplest such problem, the two-dimensional XY model with frustration corresponding to a small flux f per plaquette. At f = 0, there is a Berezinskii-Kosterlitz-Thouless transition at T*, but at any small but nonzero f, this transition is avoided and replaced (presumably) by a vortex-ordering transition at much lower temperatures. We thus have studied the evolution of the dynamics for small and moderate f as the system is cooled from above T* to below. Although we do find strongly temperature-dependent slowing of the dynamics as T crosses T* and that simultaneously the dynamics becomes more complex, neither effect is anywhere nearly as dramatic as the corresponding phenomena in glass-forming liquids. At the very least, this implies that the properties of supercooled liquids must depend on more than frustration and the existence of an avoided transition.
Authors:
 [1] ;  [1] ;  [2]
  1. Stanford Univ., Stanford, CA (United States)
  2. Univ. Pierre et Marie Curie, Paris Cedex (France)
Publication Date:
Grant/Contract Number:
AC02-76SF00515
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1414834
Alternate Identifier(s):
OSTI ID: 1402106

Esterlis, Ilya, Kivelson, Steven A., and Tarjus, Gilles. Avoided criticality and slow relaxation in frustrated two-dimensional models. United States: N. p., Web. doi:10.1103/PhysRevB.96.144305.
Esterlis, Ilya, Kivelson, Steven A., & Tarjus, Gilles. Avoided criticality and slow relaxation in frustrated two-dimensional models. United States. doi:10.1103/PhysRevB.96.144305.
Esterlis, Ilya, Kivelson, Steven A., and Tarjus, Gilles. 2017. "Avoided criticality and slow relaxation in frustrated two-dimensional models". United States. doi:10.1103/PhysRevB.96.144305. https://www.osti.gov/servlets/purl/1414834.
@article{osti_1414834,
title = {Avoided criticality and slow relaxation in frustrated two-dimensional models},
author = {Esterlis, Ilya and Kivelson, Steven A. and Tarjus, Gilles},
abstractNote = {Here, frustration and the associated phenomenon of “avoided criticality” have been proposed as an explanation for the dramatic relaxation slowdown in glass-forming liquids. To test this, we have undertaken a Monte Carlo study of possibly the simplest such problem, the two-dimensional XY model with frustration corresponding to a small flux f per plaquette. At f = 0, there is a Berezinskii-Kosterlitz-Thouless transition at T*, but at any small but nonzero f, this transition is avoided and replaced (presumably) by a vortex-ordering transition at much lower temperatures. We thus have studied the evolution of the dynamics for small and moderate f as the system is cooled from above T* to below. Although we do find strongly temperature-dependent slowing of the dynamics as T crosses T* and that simultaneously the dynamics becomes more complex, neither effect is anywhere nearly as dramatic as the corresponding phenomena in glass-forming liquids. At the very least, this implies that the properties of supercooled liquids must depend on more than frustration and the existence of an avoided transition.},
doi = {10.1103/PhysRevB.96.144305},
journal = {Physical Review B},
number = 14,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}