Floating Phase in 2D ANNNI Model

dc.creatorChandra, Anjan Kumar
dc.creatorDasgupta, Subinay
dc.date2007-05-04
dc.date.accessioned2026-07-07T08:05:04Z
dc.date.available2026-07-07T08:05:04Z
dc.descriptionWe investigate whether the floating phase (where the correlation length is infinite and the spin-spin correlation decays algebraically with distance) exists in the temperature($T$) - frustration parameter ($κ$) phase diagram of 2D ANNNI model. To identify this phase, we look for the region where (i) finite size effect is prominent and (ii) some relevant physical quantity changes somewhat sharply and this change becomes sharper as the system size increases. For $κ< 0.5 $, the low temperature phase is ferromagnetic and we study energy and magnetization. For $κ> 0.5 $, the low temperature phase is antiphase and we study energy, layer magnetization, length of domain walls running along the direction of frustration, number of domain-intercepts that are of length 2 along the direction of frustration, and the number of domain walls that do not touch the upper and/or lower boundary. In agreement with some previous studies, our final conclusion is that, the floating phase exists, if at all, only along a line.
dc.description9 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/0705.0601
dc.identifierhttp://arxiv.org/abs/0705.0601
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 6251-6265
dc.identifierdoi:10.1088/1751-8113/40/24/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130161
dc.subjectStatistical Mechanics
dc.titleFloating Phase in 2D ANNNI Model
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