Phase Transitions and the Critical Properties of the Heisenberg Model on a Body-Centered Cubic Lattice

Journal Article · Sat Jun 15 04:00:00 EDT 2019 · Physics of the Solid State

DOI:https://doi.org/10.1134/S1063783419060143· OSTI ID:22925245

Ramazanov, M. K.; Kurbanova, D. R.; Magomedov, M. A.; Badiev, M. K.; Mazagaeva, M. K. ^[1]

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1. Institute of Physics, Daghestan Scientific Center, Russian Academy of Sciences (Russian Federation)

The Monte Carlo replica technique is used to study phase transitions and the thermodynamic and critical properties of the three-dimensional Heisenberg antiferromagnetic model on the body-centered cubic lattice with the inclusion of the interaction of the nearest and the next-nearest neighbors. The studies are performed for the proportions of the values of the exchange interactions of the nearest and the next-nearest neighbors in the range of values of k [0.0, 0.6]. The phase transition character is analyzed based on the histogram method. The overall set of static critical indices is calculated in terms of the theory of the finite-dimensional scaling. It is shown that the class of the critical behavior universality of this model is conserved in the above range of values of k.

• OSTI ID: 22925245
• Journal Information: Physics of the Solid State, Journal Name: Physics of the Solid State Journal Issue: 6 Vol. 61; ISSN 1063-7834
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
BCC LATTICES
EXCHANGE INTERACTIONS
HEISENBERG MODEL
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
REPLICA TECHNIQUES
SCALING
THERMODYNAMICS
THREE-DIMENSIONAL CALCULATIONS