Critical properties and exchange interactions of antiferromagnetic A-spinel lattice: a study through high-temperature series expansions

The magnetic properties of a diluted ferrimagnetic spinels system CoFe2–2xCr2xO4 are studied using the high-temperature series expansions method in the range 0 ≤ x ≤ 1. The inter-sublattice exchange interactions (JCo Cr or JCo–Fe) are calculated using the probability law. The high-temperature series expansions, together with the Padé-approximants method, are applied to the spinels systems CoFe2–2xCr2xO4 to determine the magnetic phase diagram, i.e., TC versus dilution x. The critical exponent associated with the magnetic susceptibility (γ) is deduced. PACS Nos.: 75.30.Et; 75.40.Cx; 74.25.Ha, 75.30.Cr

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STUDY OF MAGNETIC PROPERTIES OF DILUTED FERRIMAGNETIC SPINELS SYSTEMS BY: HIGH TEMPERATURE SERIES EXPANSIONS

International Journal of Modern Physics B ◽

10.1142/s0217979210057432 ◽

2010 ◽

Vol 24 (31) ◽

pp. 6157-6163

Author(s):

RACHID MASROUR ◽

MOHAMED HAMEDOUN ◽

ABDELILAH BENYOUSSEF

Keyword(s):

Phase Diagram ◽

Magnetic Properties ◽

Magnetic Susceptibility ◽

High Temperature ◽

Critical Exponent ◽

Magnetic Phase ◽

Magnetic Phase Diagram ◽

Exchange Interactions ◽

Temperature Series ◽

Series Expansions

The ferrimagnetic spinels systems Co x Fe 1-x Cr 2 S 4 has been studied by high-temperature series expansions method in the range 0 ≤x ≤1. The exchange interactions and exchange energies are calculated by using the probability law. The high-temperature series expansions have been applied in the spinels systems Co x Fe 1-x Cr 2 S 4, combined with the Padé approximants method, to determine the magnetic phase diagram, i.e., TC versus dilution x. The critical exponent associated with the magnetic susceptibility (γ) is deduced.

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High-temperature critical properties of the Ising model on a triple of related lattices

Canadian Journal of Physics ◽

10.1139/p69-212 ◽

1969 ◽

Vol 47 (16) ◽

pp. 1671-1689 ◽

Cited By ~ 20

Author(s):

J. A. Leu ◽

D. D. Betts ◽

C. J. Elliott

Keyword(s):

High Temperature ◽

Three Dimensional ◽

Critical Energy ◽

Temperature Series ◽

Critical Parameters ◽

Series Expansions ◽

Critical Properties ◽

Coordination Numbers ◽

Exact Relations ◽

Temperature Susceptibility

Three regular three-dimensional lattices of coordination numbers, q = 3, 4, and 6 are introduced. Exact relations are derived among the specific-heat singularity amplitudes and among the susceptibility singularity amplitudes. Exact high-temperature series expansions for the partition function and the susceptibility are derived for the q = 3 and q = 6 lattices. Precise values of the critical temperature, susceptibility amplitude, critical energy, and critical entropy are obtained for all three lattices. The variation of Ising critical parameters with coordination number is discussed.

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Magnetic properties of NiAlxFe2−xO4 spinels: A mean field approach and high-temperature series expansions study

International Journal of Modern Physics B ◽

10.1142/s0217979218500704 ◽

2018 ◽

Vol 32 (07) ◽

pp. 1850070 ◽

Cited By ~ 1

Author(s):

S. Salmi ◽

R. Masrour ◽

A. El Grini ◽

K. Bouslykhane ◽

A. Hourmatallah ◽

...

Keyword(s):

Magnetic Properties ◽

High Temperature ◽

Critical Temperature ◽

Magnetic Measurement ◽

Mean Field Theory ◽

Mean Field ◽

Exchange Interactions ◽

Temperature Series ◽

Series Expansions ◽

Good Agreement

The magnetic properties of NiAl[Formula: see text]Fe[Formula: see text]O4 (NAFO) spinels were studied. Influence of Al doping on magnetic properties of NiFe2O4 spinel were examined. The exchange interactions in NAFO were obtained. The general expression of saturation magnetization and the critical temperature were obtained using mean field theory. The high-temperature series expansions combined with the Padé approximant are given to determine the critical temperature of NAFO. The critical exponent associated with the magnetic susceptibility [Formula: see text] was also deduced. The obtained results were in good agreement with magnetic measurement.

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