%0 Journal Article %1 Saul1974Tricritical %A Saul, D. M. %A Wortis, Michael %A Stauffer, D. %D 1974 %I American Physical Society %J Physical Review B %K blume-capel, tricritical-points %N 11 %P 4964--4980 %R 10.1103/physrevb.9.4964 %T Tricritical behavior of the Blume-Capel model %U http://dx.doi.org/10.1103/physrevb.9.4964 %V 9 %X The thermodynamic behavior of the fcc Blume-Capel ferromagnet, H=-JΣ〈12〉Sz(1)Sz(2)+ΔΣ1Sz(1)2-hΣ1Sz(1),  Sz=0, ±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 kBTt/12J=0.2615±0.0070, Δt/12J=0.4716±0.0010. Tricritical exponents are consistent with γt=γt′=1, βt=1/4, ϕt=νt=αt=αt′=1/2, in good agreement with tricritical mean-field theory and the Gaussian tricritical fixed point of Riedel and Wegner.

@article{Saul1974Tricritical, abstract = {{The thermodynamic behavior of the fcc Blume-Capel ferromagnet, H=-JΣ〈12〉Sz(1)Sz(2)+ΔΣ1[Sz(1)]2-hΣ1Sz(1),  Sz=0, ±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 kBTt/12J=0.2615±0.0070, Δt/12J=0.4716±0.0010. Tricritical exponents are consistent with γt=γt′=1, βt=1/4, ϕt=νt=αt=αt′=1/2, in good agreement with tricritical mean-field theory and the Gaussian tricritical fixed point of Riedel and Wegner.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Saul, D. M. and Wortis, Michael and Stauffer, D.}, biburl = {https://www.bibsonomy.org/bibtex/266d4ceccf4d7999a358ecb8f2fb13da1/nonancourt}, citeulike-article-id = {9024019}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevb.9.4964}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRB/v9/i11/p4964}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRB/v9/i11/p4964}, doi = {10.1103/physrevb.9.4964}, interhash = {a5067a892716be60a186e5eacec6aae2}, intrahash = {66d4ceccf4d7999a358ecb8f2fb13da1}, journal = {Physical Review B}, keywords = {blume-capel, tricritical-points}, month = jun, number = 11, pages = {4964--4980}, posted-at = {2011-03-18 15:31:51}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T15:37:28.000+0200}, title = {{Tricritical behavior of the Blume-Capel model}}, url = {http://dx.doi.org/10.1103/physrevb.9.4964}, volume = 9, year = 1974 }