Criticality of spin systems with weak long-range interactions
The 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...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
19 March 2020
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| In: |
Journal of physics. A, Mathematical and theoretical
Year: 2020, Volume: 53, Issue: 14 |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8121/ab6a6c |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1751-8121/ab6a6c
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| Author Notes: | Nicolò Defenu, Alessandro Codello, Stefano Ruffo and Andrea Trombettoni |
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| 520 | |a The 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. | ||
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