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.
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.|
|Data di pubblicazione:||2020|
|Numero di Articolo:||143001|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1088/1751-8121/ab6a6c|
|Appare nelle tipologie:||1.1 Journal article|