Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N
The non-Abelian ferromagnet recently introduced by the authors, consisting of atoms in the fundamental representation of SU(N), is studied in the limit where N becomes large and scales as the square root of the number of atoms n. This model exhibits additional phases, as well as two different temper...
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| Language: | English |
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Elsevier
2024-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003146 |
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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 | The non-Abelian ferromagnet recently introduced by the authors, consisting of atoms in the fundamental representation of SU(N), is studied in the limit where N becomes large and scales as the square root of the number of atoms n. This model exhibits additional phases, as well as two different temperature scales related by a factor N/lnN. The paramagnetic phase splits into a “dense” and a “dilute” phase, separated by a third-order transition and leading to a triple critical point in the scale parameter n/N2 and the temperature, while the ferromagnetic phase exhibits additional structure, and a new paramagnetic-ferromagnetic metastable phase appears at the larger temperature scale. These phases can coexist, becoming stable or metastable as temperature varies. A generalized model in which the number of SU(N)-equivalent states enters the partition function with a nontrivial weight, relevant, e.g., when there is gauge invariance in the system, is also studied and shown to manifest similar phases, the dense-dilute phase transition becoming second-order in the fully gauge invariant case. |
| format | Article |
| id | doaj-art-515f3461a6e443d6921bb0cd8581c939 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-515f3461a6e443d6921bb0cd8581c9392024-12-07T08:25:02ZengElsevierNuclear Physics B0550-32132024-12-011009116748Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large NAlexios P. Polychronakos0Konstantinos Sfetsos1Physics Department, the City College of 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, GreeceThe non-Abelian ferromagnet recently introduced by the authors, consisting of atoms in the fundamental representation of SU(N), is studied in the limit where N becomes large and scales as the square root of the number of atoms n. This model exhibits additional phases, as well as two different temperature scales related by a factor N/lnN. The paramagnetic phase splits into a “dense” and a “dilute” phase, separated by a third-order transition and leading to a triple critical point in the scale parameter n/N2 and the temperature, while the ferromagnetic phase exhibits additional structure, and a new paramagnetic-ferromagnetic metastable phase appears at the larger temperature scale. These phases can coexist, becoming stable or metastable as temperature varies. A generalized model in which the number of SU(N)-equivalent states enters the partition function with a nontrivial weight, relevant, e.g., when there is gauge invariance in the system, is also studied and shown to manifest similar phases, the dense-dilute phase transition becoming second-order in the fully gauge invariant case.http://www.sciencedirect.com/science/article/pii/S0550321324003146 |
| spellingShingle | Alexios P. Polychronakos Konstantinos Sfetsos Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N Nuclear Physics B |
| title | Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N |
| title_full | Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N |
| title_fullStr | Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N |
| title_full_unstemmed | Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N |
| title_short | Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N |
| title_sort | triple critical point and emerging temperature scales in su n ferromagnetism at large n |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003146 |
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