THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL

A generalisation of the two-dimensional XY model is studied using Monte Carlo simulation. In this model, two-component classical spins interact both ferromagnetically and nematically. Three phases occur as temperature and the two interaction strengths are varied: a high-temperature, disordered phase...

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Main Authors: Carpenter, D, Chalker, J
Format: Journal article
Published: 1989
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author Carpenter, D
Chalker, J
author_facet Carpenter, D
Chalker, J
author_sort Carpenter, D
collection OXFORD
description A generalisation of the two-dimensional XY model is studied using Monte Carlo simulation. In this model, two-component classical spins interact both ferromagnetically and nematically. Three phases occur as temperature and the two interaction strengths are varied: a high-temperature, disordered phase, and two low-temperature phases with algebraic correlations in, respectively, the ferromagnetic and nematic order parameters. The critical behaviour at the phase boundaries is examined: the high-temperature phase is entered via Kosterlitz-Thouless transitions, whilst the low-temperature phases are separated by an Ising transition.
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spelling oxford-uuid:cf4e6017-c23d-46f2-bbd7-a4d71163c3fe2022-03-27T07:41:30ZTHE PHASE-DIAGRAM OF A GENERALIZED XY MODELJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cf4e6017-c23d-46f2-bbd7-a4d71163c3feSymplectic Elements at Oxford1989Carpenter, DChalker, JA generalisation of the two-dimensional XY model is studied using Monte Carlo simulation. In this model, two-component classical spins interact both ferromagnetically and nematically. Three phases occur as temperature and the two interaction strengths are varied: a high-temperature, disordered phase, and two low-temperature phases with algebraic correlations in, respectively, the ferromagnetic and nematic order parameters. The critical behaviour at the phase boundaries is examined: the high-temperature phase is entered via Kosterlitz-Thouless transitions, whilst the low-temperature phases are separated by an Ising transition.
spellingShingle Carpenter, D
Chalker, J
THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL
title THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL
title_full THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL
title_fullStr THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL
title_full_unstemmed THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL
title_short THE PHASE-DIAGRAM OF A GENERALIZED XY MODEL
title_sort phase diagram of a generalized xy model
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