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Monte Carlo approach for studying microphases applied to the axial next-nearest-neighbor Ising and the Ising-Coulomb models

dc.contributor.author Zhang, K
dc.contributor.author Charbonneau, P
dc.date.accessioned 2016-08-03T13:49:05Z
dc.date.issued 2011-06-09
dc.identifier.issn 1098-0121
dc.identifier.uri https://hdl.handle.net/10161/12599
dc.description.abstract The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of their modulated phases. In this paper we present a systematic simulation methodology for studying layered microphases and apply the approach to two prototypical lattice-based systems: the three-dimensional axial next-nearest-neighbor Ising (ANNNI) and Ising-Coulomb (IC) models. The method involves thermodynamically integrating along a reversible path established between a reference system of free spins under an ordering field and the system of interest. The resulting free-energy calculations unambiguously locate the phase boundaries. Simple phases are not found to play a particularly significant role in the devil's flowers and interfacial roughening plays at most a small role in the ANNNI layered regime. With the help of generalized order parameters, the paramagnetic-modulated critical transition of the ANNNI model is also studied. We confirm the XY universality of the paramagnetic-modulated transition and its isotropic nature. © 2011 American Physical Society.
dc.publisher American Physical Society (APS)
dc.relation.ispartof Physical Review B - Condensed Matter and Materials Physics
dc.relation.isversionof 10.1103/PhysRevB.83.214303
dc.title Monte Carlo approach for studying microphases applied to the axial next-nearest-neighbor Ising and the Ising-Coulomb models
dc.type Journal article
duke.contributor.id Zhang, K|0432785
duke.contributor.id Charbonneau, P|0486302
pubs.issue 21
pubs.organisational-group Chemistry
pubs.organisational-group Duke
pubs.organisational-group Physics
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 83
dc.identifier.eissn 1550-235X
duke.contributor.orcid Charbonneau, P|0000-0001-7174-0821


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