Solid State Communications

Ferromagnetic phase breakdown of a quenched bond-mixed Ising model

I. P. Fittipaldi, Constantino Tsallis, Enaldo F. Sarmento

Published Nov 1, 1982• 15 citations

Publisher

DOI: 10.1016/0038-1098(82)90272-1

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Solid State Communications

Ferromagnetic phase breakdown of a quenched bond-mixed Ising model

I. P. Fittipaldi, Constantino Tsallis, Enaldo F. Sarmento

Published Nov 1, 1982• 15 citations

Publisher

DOI: 10.1016/0038-1098(82)90272-1

Related papers

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Wei-ji Song, Zhen‐Ya Li

Solid State CommunicationsSep 1, 198617 citations

Magnetization in a quenched random-bond transverse Ising model with competing interactions

Enaldo F. Sarmento, R. B. Muniz, Solange Bessa Cavalcanti

The ferromagnetic-phase stability limit and magnetization of a quenched bond-mixed spin-1/2 transverse Ising model in an anisotropic simple square lattice are studied within the framework of an effective-field theory considering both competing and noncompeting interactions. In the bond-disordered case, where bonds ${J}_{1}$ and ${J}_{2}$ occur with probabilities 1-p and p, respectively, critical curves are obtained for various \ensuremath{\alpha}'s (\ensuremath{\alpha}\ensuremath{\equiv} ${J}_{1}$ / ${J}_{2}$ ), and the critical bond concentrations ${p}_{c}$ at which the ferromagnetic phase breaks down are determined. As \ensuremath{\alpha}\ensuremath{\rightarrow}0, the mixed model reduces to the diluted Ising model and the results obtained are compared to those available in the literature. The effect of the transverse field (for different \ensuremath{\alpha}'s) in the thermal behavior of the magnetization as a function of the concentration is also discussed.The ferromagnetic-phase stability limit and magnetization of a quenched bond-mixed spin-1/2 transverse Ising model in an anisotropic simple square lattice are studied within the framework of an effective-field theory considering both competing and noncompeting interactions. In the bond-disordered case, where bonds ${J}_{1}$ and ${J}_{2}$ occur with probabilities 1-p and p, respectively, critical curves are obtained for various \ensuremath{\alpha}'s (\ensuremath{\alpha}\ensuremath{\equiv}${J}_{1}$/${J}_{2}$), and the critical bond concentrations ${p}_{c}$ at which the ferromagnetic phase breaks down are determined. As \ensuremath{\alpha}\ensuremath{\rightarrow}0, the mixed model reduces to the diluted Ising model and the results obtained are compared to those available in the literature. The effect of the transverse field (for different \ensuremath{\alpha}'s) in the thermal behavior of the magnetization as a function of the concentration is also discussed.

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{J}_{1}

and

{J}_{2}

occur with probabilities 1-p and p, respectively, critical curves are obtained for various \ensuremath{\alpha}'s (\ensuremath{\alpha}\ensuremath{\equiv}

{J}_{1}

{J}_{2}

), and the critical bond concentrations

{p}_{c}

at which the ferromagnetic phase breaks down are determined. As \ensuremath{\alpha}\ensuremath{\rightarrow}0, the mixed model reduces to the diluted Ising model and the results obtained are compared to those available in the literature. The effect of the transverse field (for different \ensuremath{\alpha}'s) in the thermal behavior of the magnetization as a function of the concentration is also discussed.

Using the ferromagnetic stability condition, the phase diagram is investigated in a quenched bond-mixed Ising ferromagnet with a transverse field

\varOmega

on the square lattice. The fact that large families of critical lines for negative-bond mixture meet at a single point on the line of T =0 is found to be closely related with frustrations due to negative bond. However the effect of frustrations may be observed only for a small value of

\varOmega

on the relevant physical properties.