Ising chains with competing interactions in the presence of long-range couplings
Year: 2019
Authors: Campa A., Gori G., Hovhannisyan V., Ruffo S., Trombettoni A.
Autors Affiliation: Ist Super Sanita, Natl Ctr Radiat Protect & Computat Phys, Viale Regina Elena 299, I-00161 Rome, Italy; Univ Padua, Dipartimento Fis & Astron G Galilei, Via Marzolo 8, I-35131 Padua, Italy; CNR IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; AI Alikhanyan Natl Sci Lab, Alikhanian Br 2, Yerevan 0036, Armenia; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Trieste, I-34151 Trieste, Italy; CNR, Ist Sistemi Complessi, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.
Abstract: In this paper we study an Ising spin chain with short-range competing interactions in the presence of long-range ferromagnetic interactions in the canonical ensemble. The simultaneous presence of the frustration induced by the short-range couplings together with their competition with the long-range term gives rise to a rich thermodynamic-phase diagram. We compare our results with the limit in which one of two local interactions is turned off, which was previously studied in the literature. Eight regions of parameters with qualitatively distinct properties are featured, with different first- and second-order phase transition lines and critical points.
Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume: 52 (34) Pages from: 344002-1 to: 344002-22
More Information: The authors thank N Defenu and D Mukamel for very useful discussions. AC acknowledges financial support from INFN (Istituto Nazionale di Fisica Nucleare) through the projects DYNSYSMATH and ENESMA. VH acknowledges financial support from the RA MES State Committee of Science, in the framework of the research project No. SCS 18T-1C155.KeyWords: long-range interactions; Ising chains; phase diagramsDOI: 10.1088/1751-8121/ab2bafCitations: 13data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2025-09-14References taken from IsiWeb of Knowledge: (subscribers only)
