skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physics of the Solid State

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.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
Russian Foundation for Basic Research
DOE Contract Number:
AC02-06CH11357
OSTI ID:
1482340
Journal Information:
Physics of the Solid State, Vol. 60, Issue 6; ISSN 1063-7834
Country of Publication:
United States
Language:
English

References (24)

Vortex Glass Transition in a Frustrated 3D X Y Model with Disorder journal August 2003
Monte Carlo analysis of the two-dimensional XY model. II. Comparison with the Kosterlitz renormalization-group equations journal August 1995
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model journal August 1977
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
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
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
Renormalization book March 2010
Avoided phase transitions and glassy dynamics in geometrically frustrated systems and non-Abelian theories journal January 2004

Similar Records

The Gauge Theory of the Glass Transition in the Three-Dimensional XY Model with Quenched Disorder
Journal Article · Fri Jun 15 00:00:00 EDT 2018 · Physics of the Solid State · OSTI ID:1482340

Description of glass transition kinetics in 3D XY model in terms of gauge field theory.
Journal Article · Mon Jul 01 00:00:00 EDT 2019 · Physica. A · OSTI ID:1482340

Topological defects in the random-field {ital XY} model and the pinned vortex lattice to vortex glass transition in type-II superconductors
Journal Article · Sat Jun 01 00:00:00 EDT 1996 · Physical Review, B: Condensed Matter · OSTI ID:1482340

Related Subjects