English

Effect of Long-Range Interactions on the Multicritical Behavior of Homogeneous Systems

Statistical Mechanics 2009-11-11 v1

Abstract

A field-theoretic approach is applied to describe behavior of homogeneous three-dimensional systems with long-range interactions defined by two order parameters at bicritical and tetracritical points. Renormalization- group equations are analyzed in the two-loop approximation by using the Pade-Borel summation technique. The fixed points corresponding to various types of multicritical behavior are determined. It is shown that effects due to long-range interactions can be responsible for a change from bicritical to tetracritical behavior.

Keywords

Cite

@article{arxiv.cond-mat/0502173,
  title  = {Effect of Long-Range Interactions on the Multicritical Behavior of Homogeneous Systems},
  author = {S. V. Belim},
  journal= {arXiv preprint arXiv:cond-mat/0502173},
  year   = {2009}
}

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3 pages