Susceptibility Critical Exponent of a 1D Ising Ring-Type Ferromagnetic

Journal Article · Sun Jul 15 04:00:00 EDT 2018 · Physics of the Solid State

DOI:https://doi.org/10.1134/S1063783418070107· OSTI ID:22771086

Udodov, V. N. ^[1]

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1. Katanov Khakassian State University (Russian Federation)

Using the Monte Carlo method, critical behavior of the one-dimensional ferromagnetic Ising model has been investigated with allowance for the interaction of the second and third neighbors and four-particle interaction. The obtained results on the critical temperature were compared with the critical temperature of the quasi-one-dimensional Ising magnetic [(CH{sub 3}){sub 3}NH] · FeCl{sub 3} · 2H{sub 2}O and with the magnitude of the exchange interaction J/k{sub B} = 17.4 K. Within the scope of the finite-dimensional scaling theory, the critical susceptibility exponent has been calculated. It has been shown that values of the susceptibility exponent for the one-dimensional Ising model with periodic boundary conditions are considerably less than the known values of the exponents for three-dimensional systems. The critical susceptibility exponent strongly depends on energy parameters; namely, it decreases with an increase in them.

• OSTI ID: 22771086
• Journal Information: Physics of the Solid State, Journal Name: Physics of the Solid State Journal Issue: 7 Vol. 60; ISSN 1063-7834
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
CRITICAL TEMPERATURE
EXCHANGE INTERACTIONS
FERROMAGNETIC MATERIALS
IRON CHLORIDES
ISING MODEL
MAGNETIC SUSCEPTIBILITY
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PARTICLE INTERACTIONS
PERIODICITY
THREE-DIMENSIONAL CALCULATIONS
THREE-DIMENSIONAL LATTICES