Phase Transitions in the Antiferromagnetic Heisenberg Model on a Body-Centered Cubic Lattice with Allowance for the Next-Nearest-Neighbor Interactions

• Published in: Physics of the solid state Vol. 60; no. 6; pp. 1173 - 1176
• Main Authors: Murtazaev, A. K., Ramazanov, M. K., Kurbanova, D. R., Badiev, M. K.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-06-2018; Springer; Springer Nature B.V
• Subjects: ALGORITHMS; Analysis; ANTIFERROMAGNETISM; BCC LATTICES; Body centered cubic lattice; Computer simulation; COMPUTERIZED SIMULATION; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CUBIC LATTICES; DATA ANALYSIS; Energy (Physics); EXCHANGE INTERACTIONS; HEISENBERG MODEL; Heisenberg theory; Lattice Dynamics; Magnetism; MONTE CARLO METHOD; PARAMAGNETISM; PHASE TRANSFORMATIONS; Phase transitions; Physics; Physics and Astronomy; Solid State Physics; Statistical models; Three dimensional models; THREE-DIMENSIONAL CALCULATIONS
• ISSN: 1063-7834; 1090-6460
• DOI: 10.1134/S1063783418060239

Based on the replica exchange Monte Carlo algorithm and histogram analysis of data, the phase transitions in the three-dimensional antiferromagnetic Heisenberg model on a body-centered cubic lattice with allowance for the next-nearest-neighbor interaction are studied. The study is performed for the nextnearest- neighbor exchange interaction ratio of
r
= 1. It is established that, for this model, the transition from the antiferromagnetic to paramagnetic phase is a first-order phase transition.