论文标题
SU的热力学和临界性（$ M $）的旋转链条类型
Thermodynamics and criticality of su($m$) spin chains of Haldane-Shastry type
论文作者
论文摘要
我们在$ a_ {n-1} $和$ bc_n $ cases中研究了SU（$ M $）haldane-Shastry类型的SU（$ M $）旋转链的热力学和关键行为。我们以封闭形式评估$ m $的任意值每旋转的自由能，从中我们从中得出了明确的公式，用于每个自旋的能量，熵和特定热量。特别是，我们发现特定的热量具有单个Schottky峰，其温度按$ M \ MESSIM10 $近似于$ m $ $级别的系统，其温度均匀分布。我们表明，在低温下，研究模型的每个自旋的自旋表现为具有中央电荷$ C = M-1 $的一维共形场理论的行为（唯一的frahm-Inozemtsev链除外，其参数为零值）。但是，从对基态退化性和低能激发的详细研究中，我们得出结论，这些模型仅在抗磁磁病例中至关重要，除了少数例外，我们完全指定了这些模型。
We study the thermodynamics and critical behavior of su($m$) spin chains of Haldane-Shastry type at zero chemical potential, both in the $A_{N-1}$ and $BC_N$ cases. We evaluate in closed form the free energy per spin for arbitrary values of $m$, from which we derive explicit formulas for the energy, entropy and specific heat per spin. In particular, we find that the specific heat features a single Schottky peak, whose temperature is well approximated for $m\lesssim10$ by the corresponding temperature for an $m$-level system with uniformly spaced levels. We show that at low temperatures the free energy per spin of the models under study behaves as that of a one-dimensional conformal field theory with central charge $c=m-1$ (with the only exception of the Frahm-Inozemtsev chain with zero value of its parameter). However, from a detailed study of the ground state degeneracy and the low-energy excitations, we conclude that these models are only critical in the antiferromagnetic case, with a few exceptions that we fully specify.
