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- W2040356001 abstract "The thermodynamic behavior of the fcc Blume-Capel ferromagnet, $mathcal{H}=ensuremath{-}Jensuremath{Sigma}stackrel{}{〈12〉}{S}^{z}(1){S}^{z}(2)+ensuremath{Delta}ensuremath{Sigma}stackrel{}{1}{[{S}^{z}(1)]}^{2}ensuremath{-}hensuremath{Sigma}stackrel{}{1}{S}^{z}(1), {S}^{z}=0, ifmmodepmelsetextpmfi{}1,$ is studied by series-extrapolation techniques. By using both high- and low-temperature series, we are able to trace first- and second-order branches of the phase boundary and examine behavior at temperatures both above and below the phase transition. We find a tricritical point at $frac{{k}_{B}{T}_{t}}{12J}=0.2615ifmmodepmelsetextpmfi{}0.0070$, $frac{{ensuremath{Delta}}_{t}}{12J}=0.4716ifmmodepmelsetextpmfi{}0.0010$. Tricritical exponents are consistent with ${ensuremath{gamma}}_{t}={ensuremath{gamma}}_{t}^{ensuremath{'}}=1$, ${ensuremath{beta}}_{t}=frac{1}{4}$, ${ensuremath{phi}}_{t}={ensuremath{nu}}_{t}={ensuremath{alpha}}_{t}={ensuremath{alpha}}_{t}^{ensuremath{'}}=frac{1}{2}$, in good agreement with tricritical mean-field theory and the Gaussian tricritical fixed point of Riedel and Wegner." @default.
- W2040356001 created "2016-06-24" @default.
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- W2040356001 date "1974-06-01" @default.
- W2040356001 modified "2023-10-13" @default.
- W2040356001 title "Tricritical behavior of the Blume-Capel model" @default.
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- W2040356001 doi "https://doi.org/10.1103/physrevb.9.4964" @default.
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