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Title: The Gauge Theory of the Glass Transition in the Three-Dimensional XY Model with Quenched Disorder

Abstract

The gauge theory of phase transitions in a three-dimensional XY-model with a hardened disorder is considered. It is shown that the topological phase transition occurring in the vortex subsystem of this model is a transition in the state of spin glass.

Authors:
;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
Russian Foundation for Basic Research
OSTI Identifier:
1482340
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physics of the Solid State
Additional Journal Information:
Journal Volume: 60; Journal Issue: 6; Journal ID: ISSN 1063-7834
Country of Publication:
United States
Language:
English

Citation Formats

Vasin, M. G., and Vinokur, V. M. The Gauge Theory of the Glass Transition in the Three-Dimensional XY Model with Quenched Disorder. United States: N. p., 2018. Web. doi:10.1134/S1063783418060355.
Vasin, M. G., & Vinokur, V. M. The Gauge Theory of the Glass Transition in the Three-Dimensional XY Model with Quenched Disorder. United States. doi:10.1134/S1063783418060355.
Vasin, M. G., and Vinokur, V. M. Fri . "The Gauge Theory of the Glass Transition in the Three-Dimensional XY Model with Quenched Disorder". United States. doi:10.1134/S1063783418060355.
@article{osti_1482340,
title = {The Gauge Theory of the Glass Transition in the Three-Dimensional XY Model with Quenched Disorder},
author = {Vasin, M. G. and Vinokur, V. M.},
abstractNote = {The gauge theory of phase transitions in a three-dimensional XY-model with a hardened disorder is considered. It is shown that the topological phase transition occurring in the vortex subsystem of this model is a transition in the state of spin glass.},
doi = {10.1134/S1063783418060355},
journal = {Physics of the Solid State},
issn = {1063-7834},
number = 6,
volume = 60,
place = {United States},
year = {2018},
month = {6}
}

Works referenced in this record:

Vortex Glass Transition in a Frustrated 3D X Y Model with Disorder
journal, August 2003


Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
journal, August 1977

  • Jos√©, Jorge V.; Kadanoff, Leo P.; Kirkpatrick, Scott
  • Physical Review B, Vol. 16, Issue 3
  • DOI: 10.1103/PhysRevB.16.1217

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966


Two-level systems in a spin-glass model: II. Three-dimensional model and effect of a magnetic field
journal, February 1978


Random Magnetic Fields, Supersymmetry, and Negative Dimensions
journal, September 1979


Theory of dynamic critical phenomena
journal, July 1977


Existence of Long-Range Order in One and Two Dimensions
journal, June 1967


Methods to determine the Hausdorff dimension of vortex loops in the three-dimensional X Y model
journal, September 2006


Observed anomalies in supercooled liquids described by frustration-limited domain theory
journal, February 1998


Dislocations and the critical endpoint of the melting line of vortex line lattices
journal, June 2000


Line defects and tunnelling modes in glasses
journal, January 1982


Calculation of Partition Functions
journal, July 1959


The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films
journal, October 1987


Random field x y model in three dimensions
journal, December 2013


The critical properties of the two-dimensional xy model
journal, March 1974


Role of Vortex Strings in the Three-Dimensional O(2) Model
journal, September 1986


On the concept of local invariance in the theory of spin glasses
journal, January 1978


Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

  • Kosterlitz, J M; Thouless, D J
  • Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
  • DOI: 10.1088/0022-3719/6/7/010

Order, frustration, and defects in liquids and glasses
journal, November 1983


Spin glasses: Experimental facts, theoretical concepts, and open questions
journal, October 1986


Gauge models for spin-glasses
journal, November 1978


Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory)
journal, June 1972