Universal behavior of coupled order parameters below three dimensions
We explore universal critical behavior in models with two competing order parameters, and an O(N) ⊕O(M) symmetry for dimensions d≤3. In d=3, there is always exactly one stable renormalization group fixed point, corresponding to bicritical or tetracritical behavior. Employing pseudospectral technique...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
5 October 2016
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| In: |
Physical review
Year: 2016, Volume: 94, Issue: 4, Pages: 042105 |
| ISSN: | 2470-0053 |
| DOI: | 10.1103/PhysRevE.94.042105 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevE.94.042105 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.94.042105 
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| Author Notes: | Julia Borchardt and Astrid Eichhorn |
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| 520 | |a We explore universal critical behavior in models with two competing order parameters, and an O(N) ⊕O(M) symmetry for dimensions d≤3. In d=3, there is always exactly one stable renormalization group fixed point, corresponding to bicritical or tetracritical behavior. Employing pseudospectral techniques to solve functional renormalization group equations in a two-dimensional field space, we uncover a more intricate structure of fixed points in d<3, where two additional bicritical fixed points play a role. Towards d=2, we discover ranges of N=M with several simultaneously stable fixed points, indicating the coexistence of several universality classes. | ||
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