Nature of phase transition(s) in striped phase of triangular-lattice Ising antiferromagnet

Abstract

Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and next-to-nearest neighbors are analyzed and compared. The dominant mechanism of the disordering is related to the formation of a network of domain walls, which is characterized by an extensive number of zero modes and has to appear via the first-order phase transition. In principle, this first-order transition can be preceded by a continuous one, related to the spontaneous formation of double domain walls and a partial restoration of the broken symmetry, but the realization of such a scenario requires the fulfillment of rather special relations between the coupling constants.

arXiv comment10 pages, 7 figures, ReVTeX4

References in corpus (4)

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• Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice
• The triangular Ising model with nearest- and next-nearest-neighbor couplings in a field
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