Square gravity

We simulate the Ising model on dynamical quadrangulations using a generalization of the flip move for triangulations with two aims: firstly, as a confirmation of universality for the KPZ/DDK exponents of the Ising phase transition, worthwhile in view of some recent surprises with other sorts of dyna...

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Bibliographic Details
Published in:Physics letters. B 1995-09, Vol.357 (3), p.287-294
Main Authors: Baillie, C.F., Johnston, D.A.
Format: Article
Language:English
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Summary:We simulate the Ising model on dynamical quadrangulations using a generalization of the flip move for triangulations with two aims: firstly, as a confirmation of universality for the KPZ/DDK exponents of the Ising phase transition, worthwhile in view of some recent surprises with other sorts of dynamical lattices; secondly, to investigate the transition of the Ising anti-ferromagnet on a dynamical loosely packed (bipartite) lattice. In the latter case we show that it is still possible to define a staggered magnetization and observe the anti-ferromagnetic analogue of the transition.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(95)00915-8