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- W1485325622 abstract "Let us consider a one-dimensionalS=1/2 Ising lattice with spin variables {s j/j ∈Z} and interacting via a long-ranged pair potential possessing translational invariance and defined by an inverse-power lawW ik =S j Φ jk S k , Φ jk =f(|j−k|),f(n) =qɛn −p. Here ε is a positive energy to be used as a scaling factor andq=±1 determines the ferromagnetic or antiferromagnetic character of the interaction; in contrast to the ferromagnetic case, the antiferromagnetic one was seldom studied. Continuing along the lines of our previous work (Nuovo Cimento B,83, 188 (1984)), we carried out Monte Carlo calculations for the caseq=+1,p=2, and found results suggesting a Thouless transition at the reduced temperaturek B T c/ε=0.21875±0.00625, and also noticed a remarkable qualitative similarity between the two potential models. In the absence of more stringent rigorous results, we conjecture that antiferromagnetic potential models defined by 1≤p≤2 can support phase transitions to ordered states." @default.
- W1485325622 created "2016-06-24" @default.
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- W1485325622 date "1985-09-01" @default.
- W1485325622 modified "2023-09-27" @default.
- W1485325622 title "Computer simulation of a long-ranged Ising antiferromagnet in one dimension." @default.
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- W1485325622 doi "https://doi.org/10.1007/bf02728500" @default.
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