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
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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