A Renormalization Group Study of Asymetrically Coupled Minimal Models

Details A Renormalization Group Study of Asymetrically Coupled Minimal Models A Renormalization Group Study of Asymetrically Coupled Minimal Models

1998-05-04

arxiv.org/abs/cond-mat/9805026v1

Phys.Lett.B435:159-165,1998

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 figures, LaTeX

Scientific paper

10.1016/S0370-2693(98)00763-1

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be independent. New fixed points are found for N models (N>3). At these fixed points, the coupling constants all have the same magnitude, but some are positive while others are negative. By analogy with spin lattices, these can be interpreted as non-frustrated configurations with a maximal number of antiferromagnetic links. The stability of the different fixed points is studied. We compute the critical exponents and spin-spin correlation functions between different models. Our classification is shown to be complete.

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