Renormalization-group classification of continuous structural phase transitions induced by six-component order parameters

Dorian M. Hatch, Jai Sam Kim, Harold T. Stokes, and Jeffrey W. Felix
Phys. Rev. B 33, 6196 – Published 1 May 1986
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Abstract

The results of renormalization-group (RG) analysis in reciprocal space are reported for solid-solid phase transitions. We list the Landau-Ginzburg-Wilson Hamiltonian densities for six-component order parameters. The resulting RG recursion relations are derived by means of symmetric products of basic invariants. A list of fixed points for the densities is given and the stable fixed points are noted. Only two of the effective Hamiltonian densities possess stable fixed points. We indicate those specific structural transitions which are allowed to be continuous as determined by RG methods. We give critical exponents for the stable fixed points.

  • Received 13 January 1986

DOI:https://doi.org/10.1103/PhysRevB.33.6196

©1986 American Physical Society

Authors & Affiliations

Dorian M. Hatch, Jai Sam Kim, and Harold T. Stokes

  • Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602

Jeffrey W. Felix

  • Department of Nuclear Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

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Vol. 33, Iss. 9 — 1 May 1986

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