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Renormalization and phase transitions in Potts [fi]/sup 3/-field theory with quadratic and trilinear symmetry breaking

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Renormalization and phase transitions in Potts [fi]/sup 3/-field theory with quadratic and trilinear symmetry breaking

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Título Renormalization and phase transitions in Potts [fi]/sup 3/-field theory with quadratic and trilinear symmetry breaking
Autor Barbosa, Marcia Cristina Bernardes
Gusmao, Miguel Angelo Cavalheiro
Theumann, Walter Karl
Abstract Renormalized perturbation theory with generalized minimal subtraction is used as an appropriate renormalization-group procedure for the study of crossover behavior in the continuum version of the p-state Potts model with quadratic and trilinear symmetry breaking, within the representation of Priest and Lubensky, by means of a two-loop-order calculation in d =6-€ dimensions. The boundary between first- and second-order phase transitions is studied for longitudinal and transverse ordering as a function of p. A fixed-point runaway for longitudinal ordering is consistent with a mean-field interpretation of a first-order transition for p >p*, where p* >/2 but not with a secondorder transition for p <P *. Finite and stable fixed points are obtained for transverse ordering, one that follows by crossover from the symmetric fixed point for 2 <P < 13/3, in consistency with the usual mean-field interpretation of a second-order transition for 2 <P < 3.
Contido em Physical review. B, Condensed matter. New York. Vol. 34, no. 5 (Sept. 1986), p. 3165-3176
Assunto Fisica da materia condensada
Quebra de simetria
Renormalizacao
Teoria de redes e estatistica
Transformações de fase
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/103633
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