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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| Datum: | 2005 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2005
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/119386 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Interacting N-vector order parameters with O(N) symmetry / A. Pelissetto, E. Vicari // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 87–101. — Бібліогр.: 28 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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