Phase transitions and critical properties in the antiferromagnetic Ising model on a layered triangular lattice with allowance for intralayer next-nearest-neighbor interactions

• Published in: Journal of experimental and theoretical physics Vol. 123; no. 4; pp. 623 - 628
• Main Authors: Badiev, M. K., Murtazaev, A. K., Ramazanov, M. K.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-10-2016; Springer; Springer Nature B.V
• Subjects: ALGORITHMS; Analysis; ANTIFERROMAGNETISM; Classical and Quantum Gravitation; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CORRELATIONS; Disorder; Elementary Particles; INTERACTIONS; ISING MODEL; MONTE CARLO METHOD; Monte Carlo methods; Monte Carlo simulation; Order; ORDER PARAMETERS; PARAMAGNETISM; Particle and Nuclear Physics; PHASE TRANSFORMATIONS; Phase Transition in Condensed System; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theory; Relativity Theory; REPLICAS; SCALING; Solid State Physics; SPECIFIC HEAT; TRIANGULAR CONFIGURATION
• ISSN: 1063-7761; 1090-6509
• DOI: 10.1134/S1063776116090016

The phase transitions (PTs) and critical properties of the antiferromagnetic Ising model on a layered (stacked) triangular lattice have been studied by the Monte Carlo method using a replica algorithm with allowance for the next-nearest-neighbor interactions. The character of PTs is analyzed using the histogram technique and the method of Binder cumulants. It is established that the transition from the disordered to paramagnetic phase in the adopted model is a second-order PT. Static critical exponents of the heat capacity (α), susceptibility (γ), order parameter (β), and correlation radius (ν) and the Fischer exponent η are calculated using the finite-size scaling theory. It is shown that (i) the antiferromagnetic Ising model on a layered triangular lattice belongs to the XY universality class of critical behavior and (ii) allowance for the intralayer interactions of next-nearest neighbors in the adopted model leads to a change in the universality class of critical behavior.