经典Blume-Capel模型中的静止状态：自旋-1钻石链中的伪转变
Still life in a classic Blume-Capel model: pseudo-transitions in a spin-1 diamond chain
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中文总结 AI 辅助
研究磁场中自旋-1 Blume-Capel钻石链的性质，用转移矩阵法建立基态相图并研究有限温度行为，发现非简并基态与低激发态间能隙导致熵驱动伪转变，扩展了显示伪转变的一维自旋系统类别。
中文摘要 AI 辅助
我们通过转移矩阵法精确研究了磁场中自旋-1 Blume-Capel钻石链的基态、磁性和热力学性质。在建立完整的基态相图并表征每个基态自旋构型后，我们研究了选定相界和三相点附近的有限温度行为。结果表明，非简并基态与竞争的宏观简并低激发态之间极小的能隙会导致熵驱动的伪转变。这些伪转变通过磁化和熵的突然但连续变化表现出来，类似于不连续跳跃，而磁化率和比热则表现出异常尖锐但有限的峰值，类似于发散。我们的结果提供了确切证据，表明伪转变也可以出现在经典自旋-1 Blume-Capel模型中，从而扩展了已知显示伪转变的一维自旋系统类别。
英文摘要
We exactly investigate the ground-state, magnetic, and thermodynamic properties of a spin-1 Blume-Capel diamond chain in a magnetic field by means of the transfer-matrix method. After establishing the complete ground-state phase diagram and characterizing each ground-state spin configuration, we examine the finite-temperature behavior in the vicinity of selected phase boundaries and triple points. It is demonstrated that an extremely small energy gap between a nondegenerate ground state and competing macroscopically degenerate low-lying excited states gives rise to entropically-driven pseudo-transitions. These pseudo-transitions manifest themselves through abrupt but continuous changes in the magnetization and entropy resembling discontinuous jumps, while the magnetic susceptibility and specific heat exhibit exceptionally sharp yet finite peaks resembling divergences. Our results provide the exact evidence that pseudo-transitions can also emerge in the classical spin-1 Blume-Capel model and thereby extend the class of one-dimensional spin systems known to display pseudo-transitions.
