Density of States and the Ground State Structure in the Ising Model on a Kagome Lattice with Consideration for Next-Nearest-Neighbor Interaction

• Published in: Physics of the solid state Vol. 60; no. 6; pp. 1184 - 1189
• Main Authors: Magomedov, M. A., Murtazaev, A. K.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-06-2018; Springer; Springer Nature B.V
• Subjects: Analysis; ANTIFERROMAGNETISM; Computer simulation; COMPUTERIZED SIMULATION; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; DATA ANALYSIS; DENSITY OF STATES; GROUND STATES; INTERACTIONS; ISING MODEL; Kagome lattice; MONTE CARLO METHOD; Monte Carlo methods; Monte Carlo simulation; PHASE TRANSFORMATIONS; Phase Transitions; Physics; Physics and Astronomy; Solid State Physics; TEMPERATURE DEPENDENCE; THERMODYNAMIC PROPERTIES; Thermodynamics; Two dimensional models; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS
• ISSN: 1063-7834; 1090-6460
• DOI: 10.1134/S1063783418060185

Phase transitions and thermodynamic properties have been studied in the two-dimensional antiferromagnetic Ising model on a Kagome lattice by the Monte Carlo method with consideration for both nearest- and next-nearest-neighbor interaction. Using the histogram data analysis method, it has been shown that the studied model is characterized by a second-order phase transition. The temperature dependence of thermodynamic parameters has been revealed to exhibit abnormal behavior.