Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions
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Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions. / Mouritsen, O. G.; Jensen, S. J. Knak; Frank, B.
In: Physical Review B, Vol. 24, No. 1, 1981, p. 347-354.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Universality and tricritical behavior of three-dimensional Ising models with two- and four-spin interactions
AU - Mouritsen, O. G.
AU - Jensen, S. J. Knak
AU - Frank, B.
PY - 1981
Y1 - 1981
N2 - The Monte Carlo technique is applied to a study of the phase transitions and the critical behavior of the spin- Ising model on an fcc lattice with mixtures of two- (J2) and four - (J4) spin interactions. In the limit J2=0 the model exhibits a first-order transition. The transition remains of first order for J4J212, but a crossover to continuous transitions is found around J4J214-12 indicating that the model exhibits tricritical behavior. A modified mean-field theory is presented leading to an approximate description of the tricritical behavior in agreement with the Monte Carlo calculations. In the region of continuous transitions. 0<~J4J214, the critical exponent pertaining to the order parameter derived from the Monte Carlo data retains the Ising value, in accordance with the universality hypothesis. Our findings show that the four-spin interactions do not lead to nonuniversal critical behavior, contrary to the conclusions made by Griffiths and Wood from a series analysis.
AB - The Monte Carlo technique is applied to a study of the phase transitions and the critical behavior of the spin- Ising model on an fcc lattice with mixtures of two- (J2) and four - (J4) spin interactions. In the limit J2=0 the model exhibits a first-order transition. The transition remains of first order for J4J212, but a crossover to continuous transitions is found around J4J214-12 indicating that the model exhibits tricritical behavior. A modified mean-field theory is presented leading to an approximate description of the tricritical behavior in agreement with the Monte Carlo calculations. In the region of continuous transitions. 0<~J4J214, the critical exponent pertaining to the order parameter derived from the Monte Carlo data retains the Ising value, in accordance with the universality hypothesis. Our findings show that the four-spin interactions do not lead to nonuniversal critical behavior, contrary to the conclusions made by Griffiths and Wood from a series analysis.
U2 - 10.1103/PhysRevB.24.347
DO - 10.1103/PhysRevB.24.347
M3 - Journal article
AN - SCOPUS:25944452260
VL - 24
SP - 347
EP - 354
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 1
ER -
ID: 238393139