Macroscopic degeneracy and order in the 3D plaquette Ising model

Desmond Alexander Johnston, Marco Mueller, Wolfhard Janke

Research output: Contribution to journalArticle

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Abstract

The purely plaquette 3D Ising Hamiltonian with the spins living at the vertices of a cubic lattice displays several interesting features. The symmetries of the model lead to a macroscopic degeneracy of the low-temperature phase and prevent the definition of a standard magnetic order parameter. Consideration of the strongly anisotropic limit of
the model suggests that a layered, “fuki-nuke” order still exists and we confirm this with multi-canonical simulations. The macroscopic degeneracy of the low-temperature phase also changes the finite-size scaling corrections at the first-order transition in the model and we see this must be taken into account when analyzing our measurements.
Original languageEnglish
Article number1550109
Number of pages10
JournalModern Physics Letters B
Volume29
Early online date14 Jul 2015
DOIs
Publication statusPublished - 2015

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