physica status solidi (b)

Diluted Ising spin‐1/2 lattice with an arbitrary coordination number

Bach Thanh Cong, Y. El Amraoui

Published Sep 1, 1996• 2 citations

Abstract

Abstract A useful representation for the Callen identity in the case of spin‐1/2 is introduced by a simple technique. The phase diagrams and percolation problems of the diluted Ising lattice with arbitrary coordination number z are also discussed.

DOI: 10.1002/pssb.2221970121

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physica status solidi (b)

Diluted Ising spin‐1/2 lattice with an arbitrary coordination number

Bach Thanh Cong, Y. El Amraoui

Published Sep 1, 1996• 2 citations

Publisher

Abstract

DOI: 10.1002/pssb.2221970121

Related papers

Phase diagrams of the spin‐1/2 transverse ising model with random interactions

E. El Mir, M. Saber

physica status solidi (b)May 1, 19945 citations

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Piotr Tomczak, Enaldo F. Sarmento, Aline Franco Siqueira +1 more

physica status solidi (b)Aug 1, 198726 citations

Critical properties of a dilute Ising model in the percolation limit

J. Heinrichs

The critical behavior of the dilute Ising model on a Bethe lattice of coordination $z$ is studied in the percolation limit ($T\ensuremath{\rightarrow}0$) by means of a new moment-expansion procedure. Exact numerical results for the magnetization as a function of magnetic field at the critical concentration, $p={p}_{c}$ , are presented for $z=3$ and $z=4$ . In particular, the critical exponent ${\ensuremath{\delta}}_{P}$ is expected to agree well for very low fields with the approximate value ${\ensuremath{\delta}}_{P}=2$ obtained by Essam et al. The nature of deviations from the value ${\ensuremath{\delta}}_{P}=2$ is discussed and their consequences are noted. The case $p\ensuremath{\ne}{p}_{c}$ is also discussed.The critical behavior of the dilute Ising model on a Bethe lattice of coordination $z$ is studied in the percolation limit ($T\ensuremath{\rightarrow}0$) by means of a new moment-expansion procedure. Exact numerical results for the magnetization as a function of magnetic field at the critical concentration, $p={p}_{c}$, are presented for $z=3$ and $z=4$. In particular, the critical exponent ${\ensuremath{\delta}}_{P}$ is expected to agree well for very low fields with the approximate value ${\ensuremath{\delta}}_{P}=2$ obtained by Essam et al. The nature of deviations from the value ${\ensuremath{\delta}}_{P}=2$ is discussed and their consequences are noted. The case $p\ensuremath{\ne}{p}_{c}$ is also discussed.

Physical review. B, Condensed matterAug 1, 19781 citation

Phase Diagrams of the Diluted Spin‐3/2 Blume‐Capel Model

Abderrahmane Bakkali, M. Kerouad, M. Saber

physica status solidi (b)Dec 1, 19947 citations

One‐ and Two‐Spin Cluster Approximations for the Site‐Diluted Spin‐1 Ising Model

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physica status solidi (b)Apr 1, 199312 citations

Mixed-spin Ising model on the Bethe lattice

N. R. da Silva, Silvio R. A. Salinas

Physical review. B, Condensed matterJul 1, 199157 citations

The critical behavior of the dilute Ising model on a Bethe lattice of coordination

z

is studied in the percolation limit ($T\ensuremath{\rightarrow}0$) by means of a new moment-expansion procedure. Exact numerical results for the magnetization as a function of magnetic field at the critical concentration,

p={p}_{c}

, are presented for

z=3

and

z=4

. In particular, the critical exponent ${\ensuremath{\delta}}_{P}$ is expected to agree well for very low fields with the approximate value ${\ensuremath{\delta}}_{P}=2$ obtained by Essam et al. The nature of deviations from the value ${\ensuremath{\delta}}_{P}=2$ is discussed and their consequences are noted. The case $p\ensuremath{\ne}{p}_{c}$ is also discussed.