Critical behavior of n-vector model with quenched randomness

Details Critical behavior of n-vector model with quenched randomness Critical behavior of n-vector model with quenched randomness

2000-02-10

arxiv.org/abs/cond-mat/0002149v2

Physics

Condensed Matter

Statistical Mechanics

6 pages, no figures

Scientific paper

We consider the Ginzburg-Landau phase transition model with O(n) symmetry (i.e., the n-vector model) which includes a quenched randomness, i.e., a random temperature disorder. We have proven rigorously that within the diagrammatic perturbation theory the quenched randomness does not change the critical exponents at n tending to 0, which is in contrast to the conventional point of view based on the perturbative renormalization group theory.

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