Columnar order and Ashkin-Teller criticality in mixtures of hard squares and dimers

Ramola, Kabir ; Damle, Kedar ; Dhar, Deepak (2015) Columnar order and Ashkin-Teller criticality in mixtures of hard squares and dimers Physical Review Letters, 114 (19). Article ID 190601. ISSN 0031-9007

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Official URL: http://journals.aps.org/prl/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevLett.114.190601

Abstract

We show that critical exponents of the transition to columnar order in a mixture of 2×1 dimers and 2×2 hard squares on the square lattice depends on the composition of the mixture in exactly the manner predicted by the theory of Ashkin-Teller criticality, including in the hard-square limit. This result settles the question regarding the nature of the transition in the hard-square lattice gas. It also provides the first example of a polydisperse system whose critical properties depend on composition. Our ideas also lead to some interesting predictions for a class of frustrated quantum magnets that exhibit columnar ordering of the bond energies at low temperature.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:103872
Deposited On:09 Mar 2018 11:30
Last Modified:09 Mar 2018 11:30

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