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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Format: | Journal article |
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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. |
first_indexed | 2024-03-07T04:33:59Z |
format | Journal article |
id | oxford-uuid:cf4e6017-c23d-46f2-bbd7-a4d71163c3fe |
institution | University of Oxford |
last_indexed | 2024-03-07T04:33:59Z |
publishDate | 1989 |
record_format | dspace |
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 |
work_keys_str_mv | AT carpenterd thephasediagramofageneralizedxymodel AT chalkerj thephasediagramofageneralizedxymodel AT carpenterd phasediagramofageneralizedxymodel AT chalkerj phasediagramofageneralizedxymodel |