Ferromagnetic phase transitions in SU(N)
We study the thermodynamics of a non-abelian ferromagnet consisting of “atoms” each carrying a fundamental representation of SU(N), coupled with long-range two-body quadratic interactions. We uncover a rich structure of phase transitions from non-magnetized, global SU(N)-invariant states to magnetiz...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323002821 |
| _version_ | 1797633265133158400 |
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| author | Alexios P. Polychronakos Konstantinos Sfetsos |
| author_facet | Alexios P. Polychronakos Konstantinos Sfetsos |
| author_sort | Alexios P. Polychronakos |
| collection | DOAJ |
| description | We study the thermodynamics of a non-abelian ferromagnet consisting of “atoms” each carrying a fundamental representation of SU(N), coupled with long-range two-body quadratic interactions. We uncover a rich structure of phase transitions from non-magnetized, global SU(N)-invariant states to magnetized ones breaking global invariance to SU(N−1)×U(1). Phases can coexist, one being stable and the other metastable, and the transition between states involves latent heat exchange, unlike in usual SU(2) ferromagnets. Coupling the system to an external non-abelian magnetic field further enriches the phase structure, leading to additional phases. The system manifests hysteresis phenomena both in the magnetic field, as in usual ferromagnets, and in the temperature, in analogy to supercooled water. Potential applications are in fundamental situations or as a phenomenological model. |
| first_indexed | 2024-03-11T11:51:38Z |
| format | Article |
| id | doaj.art-255c4f4442dc4feebaad37895fd2e5a2 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-11T11:51:38Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-255c4f4442dc4feebaad37895fd2e5a22023-11-09T04:11:21ZengElsevierNuclear Physics B0550-32132023-11-01996116353Ferromagnetic phase transitions in SU(N)Alexios P. Polychronakos0Konstantinos Sfetsos1Physics Department, the City College of the New York, 160 Convent Avenue, New York, NY 10031, USA; The Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, NY 10016, USA; Corresponding author.Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece; Theoretical Physics Department, CERN, 1211 Geneva 23, SwitzerlandWe study the thermodynamics of a non-abelian ferromagnet consisting of “atoms” each carrying a fundamental representation of SU(N), coupled with long-range two-body quadratic interactions. We uncover a rich structure of phase transitions from non-magnetized, global SU(N)-invariant states to magnetized ones breaking global invariance to SU(N−1)×U(1). Phases can coexist, one being stable and the other metastable, and the transition between states involves latent heat exchange, unlike in usual SU(2) ferromagnets. Coupling the system to an external non-abelian magnetic field further enriches the phase structure, leading to additional phases. The system manifests hysteresis phenomena both in the magnetic field, as in usual ferromagnets, and in the temperature, in analogy to supercooled water. Potential applications are in fundamental situations or as a phenomenological model.http://www.sciencedirect.com/science/article/pii/S0550321323002821 |
| spellingShingle | Alexios P. Polychronakos Konstantinos Sfetsos Ferromagnetic phase transitions in SU(N) Nuclear Physics B |
| title | Ferromagnetic phase transitions in SU(N) |
| title_full | Ferromagnetic phase transitions in SU(N) |
| title_fullStr | Ferromagnetic phase transitions in SU(N) |
| title_full_unstemmed | Ferromagnetic phase transitions in SU(N) |
| title_short | Ferromagnetic phase transitions in SU(N) |
| title_sort | ferromagnetic phase transitions in su n |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323002821 |
| work_keys_str_mv | AT alexiosppolychronakos ferromagneticphasetransitionsinsun AT konstantinossfetsos ferromagneticphasetransitionsinsun |