Cubic Ising lattices with four-spin interactions

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Cubic Ising lattices with four-spin interactions. / Mouritsen, O. G.; Frank, B.; Mukamel, D.

In: Physical Review B, Vol. 27, No. 5, 1983, p. 3018-3031.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Mouritsen, OG, Frank, B & Mukamel, D 1983, 'Cubic Ising lattices with four-spin interactions', Physical Review B, vol. 27, no. 5, pp. 3018-3031. https://doi.org/10.1103/PhysRevB.27.3018

APA

Mouritsen, O. G., Frank, B., & Mukamel, D. (1983). Cubic Ising lattices with four-spin interactions. Physical Review B, 27(5), 3018-3031. https://doi.org/10.1103/PhysRevB.27.3018

Vancouver

Mouritsen OG, Frank B, Mukamel D. Cubic Ising lattices with four-spin interactions. Physical Review B. 1983;27(5):3018-3031. https://doi.org/10.1103/PhysRevB.27.3018

Author

Mouritsen, O. G. ; Frank, B. ; Mukamel, D. / Cubic Ising lattices with four-spin interactions. In: Physical Review B. 1983 ; Vol. 27, No. 5. pp. 3018-3031.

Bibtex

@article{ad73df787f46497a8f03b0776f777dcf,
title = "Cubic Ising lattices with four-spin interactions",
abstract = "An exact derivation is given of the magnetic ground states for spin Ising modelswith pure four-spin interactions on the cubic lattices. The ordered states encompassferromagnetic, antiferromagnetic, and ferrimagnetic degenerate components, and theorder-parameter dimensionality is n=8, 4, and for the sc, the bcc, and the fcc lattices. The Landau-Ginzburg-Wilson Hamiltonians are derived for the sc and bcc lattices. Monte Carlo calculations demonstrate that the phase transition in all three lattices is of first order. The effects of a symmetry-breaking field are investigated for the bcc lattice. The phase diagram is calculated and shown to include lines of first-order and continuoustransitions as well as critical end points. The results are compared with mean-field and renormalization-group predictions.",
author = "Mouritsen, {O. G.} and B. Frank and D. Mukamel",
year = "1983",
doi = "10.1103/PhysRevB.27.3018",
language = "English",
volume = "27",
pages = "3018--3031",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Cubic Ising lattices with four-spin interactions

AU - Mouritsen, O. G.

AU - Frank, B.

AU - Mukamel, D.

PY - 1983

Y1 - 1983

N2 - An exact derivation is given of the magnetic ground states for spin Ising modelswith pure four-spin interactions on the cubic lattices. The ordered states encompassferromagnetic, antiferromagnetic, and ferrimagnetic degenerate components, and theorder-parameter dimensionality is n=8, 4, and for the sc, the bcc, and the fcc lattices. The Landau-Ginzburg-Wilson Hamiltonians are derived for the sc and bcc lattices. Monte Carlo calculations demonstrate that the phase transition in all three lattices is of first order. The effects of a symmetry-breaking field are investigated for the bcc lattice. The phase diagram is calculated and shown to include lines of first-order and continuoustransitions as well as critical end points. The results are compared with mean-field and renormalization-group predictions.

AB - An exact derivation is given of the magnetic ground states for spin Ising modelswith pure four-spin interactions on the cubic lattices. The ordered states encompassferromagnetic, antiferromagnetic, and ferrimagnetic degenerate components, and theorder-parameter dimensionality is n=8, 4, and for the sc, the bcc, and the fcc lattices. The Landau-Ginzburg-Wilson Hamiltonians are derived for the sc and bcc lattices. Monte Carlo calculations demonstrate that the phase transition in all three lattices is of first order. The effects of a symmetry-breaking field are investigated for the bcc lattice. The phase diagram is calculated and shown to include lines of first-order and continuoustransitions as well as critical end points. The results are compared with mean-field and renormalization-group predictions.

U2 - 10.1103/PhysRevB.27.3018

DO - 10.1103/PhysRevB.27.3018

M3 - Journal article

AN - SCOPUS:0002414163

VL - 27

SP - 3018

EP - 3031

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 5

ER -

ID: 238389917