Frustrations in a Diluted Ising Magnet on the Bethe Lattice

We consider the calculation of the entropy of an Ising ferromagnet with nonmagnetic impurities distributed at random over the lattice sites or bonds. The Ising magnet on the Bethe lattice is analyzed. On such a lattice, the situations with a random nonmagnetic dilution over the sites and bonds are i...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2022-06, Vol.134 (6), p.713-719
Main Authors: Semkin, S. V., Smagin, V. P., Tarasov, V. S.
Format: Article
Language:English
Subjects:
Analysis
Approximation
Classical and Quantum Gravitation
Dilution
Disorder
Elementary Particles
Entropy
Ferromagnetism
Ising model
Lattice sites
Magnetic fields
Magnetization
Mathematical analysis
Order
Particle and Nuclear Physics
Percolation
Phase Transition in Condensed System
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
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Summary:We consider the calculation of the entropy of an Ising ferromagnet with nonmagnetic impurities distributed at random over the lattice sites or bonds. The Ising magnet on the Bethe lattice is analyzed. On such a lattice, the situations with a random nonmagnetic dilution over the sites and bonds are indistinguishable. For calculating the entropy, the magnetization determined in the pseudo-chaotic approximation is used. In this approximation, we obtain the entropy as a function of the temperature, the concentration of magnetic atoms, and the external magnetic field. It is found that in zero external field, the system is frustrated in the sense that the ground-state entropy differs from zero. The value of this entropy is determined for concentrations magnetic atoms below as well as above the percolation threshold.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776122060048