Effect of Random Impurities on Fluctuation-Driven First Order Transitions

Abstract

We analyse the effect of quenched uncorrelated randomness coupling to the local energy density of a model consisting of N coupled two-dimensional Ising models. For N>2 the pure model exhibits a fluctuation-driven first order transition, characterised by runaway renormalisation group behaviour. We show that the addition of weak randomness acts to stabilise these flows, in such a way that the trajectories ultimately flow back towards the pure decoupled Ising fixed point, with the usual critical exponents alpha=0, nu=1, apart from logarithmic corrections. We also show by examples that, in higher dimensions, such transitions may either become continuous or remain first order in the presence of randomness.

13 pp., LaTeX

References in corpus (2)

• Critical behaviour of the Random--Bond Ashkin--Teller Model, a Monte-Carlo study
• The Unusual Universality of Branching Interfaces in Random Media

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