Marginal dimensions for multicritical phase transitions
The field-theoretical model describing multicritical phenomena with two coupled order parameters with n<sub>||</sub> and n<sub>⊥</sub> components and of O(n<sub>||</sub> ⊕ O(n<sub>⊥</sub>) symmetry is considered. Conditions for realization of different...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2012-12-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.15.43001 |
| _version_ | 1819228562568249344 |
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| author | M. Dudka R. Folk Yu. Holovatch G. Moser |
| author_facet | M. Dudka R. Folk Yu. Holovatch G. Moser |
| author_sort | M. Dudka |
| collection | DOAJ |
| description | The field-theoretical model describing multicritical phenomena with two coupled order parameters with n<sub>||</sub> and n<sub>⊥</sub> components and of O(n<sub>||</sub> ⊕ O(n<sub>⊥</sub>) symmetry is considered. Conditions for realization of different types of multicritical behaviour are studied within the field-theoretical renormalization group approach. Surfaces separating stability regions for certain types of multicritical behaviour in parametric space of order parameter dimensions and space dimension d are calculated using the two-loop renormalization group functions. Series for the order parameter marginal dimensions that control the crossover between different universality classes are extracted up to the fourth order in ϵ = 4-d and to the fifth order in a pseudo-ϵ parameter using the known high-order perturbative expansions for isotropic and cubic models. Special attention is paid to a particular case of O(1) ⊕ O(2) symmetric model relevant for description of anisotropic antiferromagnets in an external magnetic field. |
| first_indexed | 2024-12-23T10:59:15Z |
| format | Article |
| id | doaj.art-ee88c76c376248a38443dd4e97086d8b |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-23T10:59:15Z |
| publishDate | 2012-12-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-ee88c76c376248a38443dd4e97086d8b2022-12-21T17:49:41ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2012-12-0115443001Marginal dimensions for multicritical phase transitionsM. DudkaR. FolkYu. HolovatchG. MoserThe field-theoretical model describing multicritical phenomena with two coupled order parameters with n<sub>||</sub> and n<sub>⊥</sub> components and of O(n<sub>||</sub> ⊕ O(n<sub>⊥</sub>) symmetry is considered. Conditions for realization of different types of multicritical behaviour are studied within the field-theoretical renormalization group approach. Surfaces separating stability regions for certain types of multicritical behaviour in parametric space of order parameter dimensions and space dimension d are calculated using the two-loop renormalization group functions. Series for the order parameter marginal dimensions that control the crossover between different universality classes are extracted up to the fourth order in ϵ = 4-d and to the fifth order in a pseudo-ϵ parameter using the known high-order perturbative expansions for isotropic and cubic models. Special attention is paid to a particular case of O(1) ⊕ O(2) symmetric model relevant for description of anisotropic antiferromagnets in an external magnetic field.http://dx.doi.org/10.5488/CMP.15.43001multicritical phenomenamarginal dimensionsrenormalization group |
| spellingShingle | M. Dudka R. Folk Yu. Holovatch G. Moser Marginal dimensions for multicritical phase transitions Condensed Matter Physics multicritical phenomena marginal dimensions renormalization group |
| title | Marginal dimensions for multicritical phase transitions |
| title_full | Marginal dimensions for multicritical phase transitions |
| title_fullStr | Marginal dimensions for multicritical phase transitions |
| title_full_unstemmed | Marginal dimensions for multicritical phase transitions |
| title_short | Marginal dimensions for multicritical phase transitions |
| title_sort | marginal dimensions for multicritical phase transitions |
| topic | multicritical phenomena marginal dimensions renormalization group |
| url | http://dx.doi.org/10.5488/CMP.15.43001 |
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