Instability of O(5) multicritical behavior in SO(5) theory of high-Tc superconductors
We study the nature of the multicritical point in the three-dimensional O(3)⊕O(2) symmetric Landau-Ginzburg-Wilson theory, which describes the competition of two order parameters that are O(3) and O(2) symmetric, respectively. This study is relevant for SO(5) theory of high-Tc superconductors, which...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
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21 July 2005
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2005, Jahrgang: 72, Heft: 1, Pages: 1-9 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.72.014532 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.72.014532 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.72.014532 
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| Verfasserangaben: | Martin Hasenbusch, Andrea Pelissetto and Ettore Vicari |
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| 520 | |a We study the nature of the multicritical point in the three-dimensional O(3)⊕O(2) symmetric Landau-Ginzburg-Wilson theory, which describes the competition of two order parameters that are O(3) and O(2) symmetric, respectively. This study is relevant for SO(5) theory of high-Tc superconductors, which predicts the existence of a multicritical point in the temperature-doping phase diagram, where the antiferromagnetic and superconducting transition lines meet. We investigate whether O(3)⊕O(2) symmetry gets effectively enlarged to O(5) approaching the multicritical point. For this purpose, we study the stability of the O(5) fixed point. By means of a Monte Carlo simulation, we show that the O(5) fixed point is unstable with respect to the spin-4 quartic perturbation with the crossover exponent ϕ4,4=0.180(15), in substantial agreement with recent field-theoretical results. This estimate is much larger than the one-loop ϵ-expansion estimate ϕ4,4=1/26, which has often been used in the literature to discuss the multicritical behavior within SO(5) theory. Therefore, no symmetry enlargement is generically expected at the multicritical transition. We also perform a five-loop field-theoretical analysis of the renormalization-group flow. It shows that bicritical systems are not in the attraction domain of the stable decoupled fixed point. Thus, in these systems—high-Tc cuprates should belong to this class—the multicritical point corresponds to a first-order transition. | ||
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