SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS

An expansion in inverse spin anisotropy, which enables us to study the behavior of discrete spin models as the spins soften, is developed. In particular we focus on models, such as the chiral clock model and the p-state clock model with competing first- and second-neighbor interactions, where there...

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Main Authors: Seno, F, Yeomans, J
Format: Journal article
Language:English
Published: 1994
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author Seno, F
Yeomans, J
author_facet Seno, F
Yeomans, J
author_sort Seno, F
collection OXFORD
description An expansion in inverse spin anisotropy, which enables us to study the behavior of discrete spin models as the spins soften, is developed. In particular we focus on models, such as the chiral clock model and the p-state clock model with competing first- and second-neighbor interactions, where there are special multiphase points at zero temperature at which an infinite number of ground states are degenerate. The expansion allows calculation of the ground state phase diagram near these points as the spin anisotropy, which constrains the spin to take discrete values, is reduced from infinity. Several different behaviors are found, from a single first-order phase boundary to infinite series of commensurate phases. © 1994 The American Physical Society.
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spelling oxford-uuid:7e7a52cc-8cb0-45ab-a2e9-0bb7bc7d72f32022-03-26T21:10:21ZSPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7e7a52cc-8cb0-45ab-a2e9-0bb7bc7d72f3EnglishSymplectic Elements at Oxford1994Seno, FYeomans, JAn expansion in inverse spin anisotropy, which enables us to study the behavior of discrete spin models as the spins soften, is developed. In particular we focus on models, such as the chiral clock model and the p-state clock model with competing first- and second-neighbor interactions, where there are special multiphase points at zero temperature at which an infinite number of ground states are degenerate. The expansion allows calculation of the ground state phase diagram near these points as the spin anisotropy, which constrains the spin to take discrete values, is reduced from infinity. Several different behaviors are found, from a single first-order phase boundary to infinite series of commensurate phases. © 1994 The American Physical Society.
spellingShingle Seno, F
Yeomans, J
SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS
title SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS
title_full SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS
title_fullStr SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS
title_full_unstemmed SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS
title_short SPIN SOFTENING IN MODELS WITH COMPETING INTERACTIONS - A HIGH-ANISOTROPY EXPANSION TO ALL ORDERS
title_sort spin softening in models with competing interactions a high anisotropy expansion to all orders
work_keys_str_mv AT senof spinsofteninginmodelswithcompetinginteractionsahighanisotropyexpansiontoallorders
AT yeomansj spinsofteninginmodelswithcompetinginteractionsahighanisotropyexpansiontoallorders