Critical Properties in the Ising Model on a Triangular Lattice with the Variable Interlayer Exchange Interaction

Journal Article · Tue Oct 15 04:00:00 EDT 2019 · Physics of the Solid State

DOI:https://doi.org/10.1134/S1063783419100263· OSTI ID:22925100

Murtazaev, A. K.; Ramazanov, M. K.

Phase transitions and critical and thermodynamic properties of the three-dimensional antiferromagnetic Ising model on a layered triangular lattice with variable interlayer exchange interaction are studied by the replica algorithm of the Monte Carlo method. The studies are carried out for the ratios of the intralayer J{sub 1} and interlayer J{sub 2} exchange interactions in the range of r = J{sub 2}/J{sub 1} = 0.01–1.0. It is established that a second-order phase transition is observed in the considered r interval. Using the finite size scaling theory, the static critical exponents of the heat capacity α, susceptibility γ, order parameter β, correlation radius ν, and Fisher index η are calculated. It is shown that the universality class of the critical behavior of this model is preserved in the interval of 0.05 < r ≤ 1.0. It was found that with a further decrease in the r value, a crossover from the three-dimensional critical behavior to the quasi-two-dimensional one is observed.

• OSTI ID: 22925100
• Journal Information: Physics of the Solid State, Journal Name: Physics of the Solid State Journal Issue: 10 Vol. 61; ISSN 1063-7834
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
EXCHANGE INTERACTIONS
ISING MODEL
MONTE CARLO METHOD
ORDER PARAMETERS
PHASE TRANSFORMATIONS
SCALE MODELS
SPECIFIC HEAT
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS