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Interacting N-vector order parameters with O(N) symmetry

Interacting N-vector order parameters with O(N) symmetry

We consider the critical behavior of the most general system of two Nvector order parameters that is O(N) invariant. We show that it may have a multicritical transition with enlarged symmetry controlled by the chiral O(2) ⊗ O(N) fixed point. For N = 2, 3, 4, if the system is also invariant under...

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Bibliographic Details
Main Authors: Pelissetto, A., Vicari, E.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2005
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/119386
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Summary:We consider the critical behavior of the most general system of two Nvector order parameters that is O(N) invariant. We show that it may have a multicritical transition with enlarged symmetry controlled by the chiral O(2) ⊗ O(N) fixed point. For N = 2, 3, 4, if the system is also invariant under the exchange of the two order parameters and under independent parity transformations, one may observe a critical transition controlled by a fixed point belonging to the mn model. Also in this case there is a symmetry enlargement at the transition, the symmetry being [SO(N) ⊕ SO(N)] ⊗ C₂, where C₂ is the symmetry group of the square.

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