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- W1976694313 abstract "Several statistical-thermodynamic theories involving an exact solution in one dimension (d=1), high- and low-temperature series expansions, and an exact solution of an infinite-range system (mean-field theory) are presented for a quadrupolar spin model whose Hamiltonian is described with m-component classical spins ${mathbf{S}}_{mathit{i}}$ as scrH=-1/2 t${sum}_{mathit{i},}$${mathit{j}}_{=1}^{mathit{N}}$ ${mathrm{J}}_{mathit{i}mathit{j}}$(${mathbf{S}}_{mathit{i}}$ensuremath{cdot}${mathbf{S}}_{mathit{j}}$${)}^{2}$ on a d-dimensional lattice. An orientational phase transition is analyzed systematically as a function of m. The transition is first order generally for 2mensuremath{le}ensuremath{infty} and d>2. We evaluate the transition point and the discontinuity in energy as a function of m. We also present exact solutions in the mensuremath{rightarrow}ensuremath{infty} limit for arbitrary spatial dimensions." @default.
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- W1976694313 date "1990-12-01" @default.
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- W1976694313 title "Exact theories ofm-component quadrupolar systems showing a first-order phase transition" @default.
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- W1976694313 doi "https://doi.org/10.1103/physrevb.42.10360" @default.
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