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EnglishThe study of critical properties of systems with long-range interactions has attracted, in recent decades, a continuing interest and motivated the development of several analytical and numerical techniques, in particular in connection with spin models. From the point of view of the investigation of their criticality, a special role is played by systems in which the interactions are long-range enough that their universality class is different from the short-range case and, nevertheless, they maintain the extensivity of thermodynamical quantities. Such interactions are often called weak long-range. In this paper we focus on the study of the critical behaviour of spin systems with weak-long range couplings using functional renormalization group, and we review their remarkable properties. For the sake of clarity and self-consistency, we start from classical spin models and we then move to quantum spin systems.
Criticality of spin systems with weak long-range interactions / Defenu, N.; Codello, A.; Ruffo, S.; Trombettoni, A.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 53:14(2020), pp. 1-25.
| Titolo: | Criticality of spin systems with weak long-range interactions |
| Autori: | Defenu, N.; Codello, A.; Ruffo, S.; Trombettoni, A. |
| Rivista: | |
| Data di pubblicazione: | 2020 |
| Volume: | 53 |
| Fascicolo: | 14 |
| Pagina iniziale: | 1 |
| Pagina finale: | 25 |
| Numero di Articolo: | 143001 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1751-8121/ab6a6c |
| URL: | https://iopscience.iop.org/article/10.1088/1751-8121/ab6a6c/meta https://arxiv.org/abs/1908.05158 |
| Appare nelle tipologie: | 1.1 Journal article |
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http://hdl.handle.net/20.500.11767/116469
