论文标题
nematic tomonaga-luttinger液相在$ s = 1/2 $铁磁 - 抗铁磁键链链链中
Nematic Tomonaga-Luttinger Liquid Phase in an $S=1/2$ Ferromagnetic-Antiferromagnetic Bond-Alternating Chain
论文作者
论文摘要
我们在数值上研究了$ s = 1/2 $铁磁抗磁性键链链链的基层相图，其中铁电磁相互作用比抗铁磁磁性强，而前者和后者的相互作用更强，而后者的相互作用则是Ising-ysing-type and $ xy $ xy $ xy-y-type y-type。我们使用各种数值方法，例如通过精确的对角度化方法获得的数值数据的水平光谱和现象性重量化组分析，依此类推。所得的相图包含铁磁，$ xy $ 1，单点二聚体和上下倒下的阶段以及nematic tomonaga-luttinger液体（NTLL）相，该阶段出现在相互作用参数的广泛区域中。来自铁磁相互作用的强极限的扰动计算相当很好地重现了与相图中与NTLL相关的相边界线的数值结果。
We numerically investigate the ground-state phase diagram of the $S=1/2$ ferromagnetic-antiferromagnetic bond-alternating chain, in which the ferromagnetic interactions are stronger than the antiferromagnetic ones, and the anisotropies of the former and latter interactions are of the Ising-type and the $XY$-type, respectively. We use various numerical methods, such as the level spectroscopy and phenomenological renormalization-group analyses of the numerical data obtained by the exact diagonalization method, and so on. The resultant phase diagrams contain the ferromagnetic, $XY$1, singlet-dimer, and up-up-down-down phases as well as the nematic Tomonaga-Luttinger liquid (nTLL) phase which appears in a wide region of the interaction parameters. Perturbation calculations from the strong limit of the ferromagnetic interactions reproduce fairly well the numerical results of the phase boundary lines associated with the nTLL phase in the phase diagrams.
