Spin-One Ising Model with Bilinear and Biquadratic Interactions

作者: Kazuhiro Takahashi , Motoyuki Tanaka

DOI: 10.1143/JPSJ.46.1428

关键词: Condensed matter physicsPhase transitionChain (algebraic topology)Connection (mathematics)PhysicsSpin-½Bilinear interpolationIsing modelMathematical physicsDipoleHeat capacityGeneral Physics and Astronomy

摘要: The spin-1 Ising model with bilinear and biquadratic interactions is investigated using a generalized constant-coupling approximation two parameters. Equations to determine these parameters are derived by minimizing the variational free energy. averages of dipolar quadrupolar moments expressed in terms first ascertained give exact results for linear chain, then detail quadrupolar-coupled system comparison molecular-field results. pair-correlation heat capacity this also connection phase transition. For effect anisotropy constant transition discussed.

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