Anderson localization, branched polymers and the Yang-Lee edge singularity
- 1 January 1981
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 42 (14) , 331-334
- https://doi.org/10.1051/jphyslet:019810042014033100
Abstract
We show that a recently proposed field-theoretic model of Anderson localization has the same critical behaviour as that found in the problem of branched polymers. Thus this model in D dimensions is in the same universality class as that studied by Parisi and Sourlas, which includes the Yang-Lee edge singularity in D — 2 dimensions. We stress that critical properties can be studied either at constant order parameter or at constant field and that critical exponents in the two cases are related by a Fisher renormalization. We note that constant order parameter exponents diverge at a critical dimension DcKeywords
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