Numerical study of the enlarged O(5) symmetry of the 3D antiferromagnetic RP^(2) spin model
We investigate by means of Monte Carlo simulation and finite-size scaling analysis the critical properties of the three dimensional O (5) non-linear σ model and of the antiferromagnetic RP^(2) model, both of them regularized on a lattice. High accuracy estimates are obtained for the critical exponen...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51926 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51926 |
| Access Level: | acceso abierto |
| Palabra clave: | 53 51-73 Critical exponents Renormalization-group Universality class Monte-Carlo Ising-model PHI(4) model RP(2) model Dimensions Heisenberg Magnets. Física (Física) Física-Modelos matemáticos 22 Física |
| Sumario: | We investigate by means of Monte Carlo simulation and finite-size scaling analysis the critical properties of the three dimensional O (5) non-linear σ model and of the antiferromagnetic RP^(2) model, both of them regularized on a lattice. High accuracy estimates are obtained for the critical exponents, universal dimensionless quantities and critical couplings. It is concluded that both models belong to the same universality class, provided that rather non-standard identifications are made for the momentum-space propagator of the RP^(2) model. We have also investigated the phase diagram of the RP^(2) model extended by a second-neighbor interaction. A rich phase diagram is found, where most of the phase transitions are of the first order. |
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