| Title: |
Criticality of Spin Systems with Weak Long-Range Interactions |
| Authors: |
Defenu, Nicolò; Codello, Alessandro; Ruffo, Stefano; Trombettoni, Andrea |
| Source: |
J. Phys. A: Math. Theor. 53 143001 (2020) |
| Publication Year: |
2019 |
| Collection: |
Condensed Matter; Quantum Physics |
| Subject Terms: |
Condensed Matter - Statistical Mechanics; Condensed Matter - Quantum Gases; Quantum Physics |
| Description: |
The study of critical properties of systems with long-range interactions has attracted in the last 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 renormalization group, and we review their remarkable properties. For the sake of clarity and self-consistency, we start from the classical $O(N)$ spin models and we then move to quantum spin systems.; Comment: 24 pages, 5 figures, Submitted to the special issue of J. Phys. A on 'Long-range Interactions and Synchronization' |
| Document Type: |
Working Paper |
| DOI: |
10.1088/1751-8121/ab6a6c |
| Access URL: |
http://arxiv.org/abs/1908.05158 |
| Accession Number: |
edsarx.1908.05158 |
| Database: |
arXiv |