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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Hauptverfasser: Defenu, Nicolò (VerfasserIn) , Codello, Alessandro (VerfasserIn) , Ruffo, Stefano (VerfasserIn) , Trombettoni, Andrea (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 19 March 2020
In: Journal of physics. A, Mathematical and theoretical
Year: 2020, Jahrgang: 53, Heft: 14
ISSN:1751-8121
DOI:10.1088/1751-8121/ab6a6c
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1751-8121/ab6a6c
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Verfasserangaben:Nicolò Defenu, Alessandro Codello, Stefano Ruffo and Andrea Trombettoni
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Zusammenfassung: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.
Beschreibung:Gesehen am 28.04.2020
Beschreibung:Online Resource
ISSN:1751-8121
DOI:10.1088/1751-8121/ab6a6c