First and second order transitions in dilute O(n) models

Details First and second order transitions in dilute O(n) models First and second order transitions in dilute O(n) models

1998-12-16

arxiv.org/abs/cond-mat/9812270v1

Physics

Condensed Matter

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Scientific paper

We explore the phase diagram of an O(n) model on the honeycomb lattice with vacancies, using finite-size scaling and transfer-matrix methods. We make use of the loop representation of the O(n) model, so that $n$ is not restricted to positive integers. For low activities of the vacancies, we observe critical points of the known universality class. At high activities the transition becomes first order. For n=0 the model includes an exactly known theta point, used to describe a collapsing polymer in two dimensions. When we vary $n$ from 0 to 1, we observe a tricritical point which interpolates between the universality classes of the theta point and the Ising tricritical point.

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