Determination of Tomonaga-Luttinger parameters for a two-component liquid
Determination of Tomonaga-Luttinger parameters for a two-component liquid
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双组分液体的 Tomonaga-Luttinger 参数的测定
DOI：
10.1103/physrevb.92.075128
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发表时间：
2015
影响因子：
3.7
通讯作者：
Shinsei Ryu
中科院分区：
文献类型：
--
作者：
Olabode M. Sule;Hitesh J. Changlani;Isao Maruyama;Shinsei Ryu
我们利用精确对角化和密度-矩阵重整化群算法，为临界自旋-1链，特别是具有附加相互作用的对称双线性-双二次模型映射到自由玻色子理论提供了证据。利用与带中心电荷的共形场论的对应关系，我们确定了含四种托莫那加-卢廷格液体参数的标度维解析公式。通过匹配最低尺度，我们数值计算了这些场论参数，并跟踪了它们作为晶格模型参数的函数的演变。
We provide evidence for the mapping of critical spin-1 chains, in particular thesymmetric bilinear-biquadratic model with additional interactions, to free boson theories using exact diagonalization and the density-matrix renormalization-group algorithm. Using the correspondence with a conformal field theory with central charge, we determine the analytic formulas for the scaling dimensions in terms of four Tomonaga-Luttinger liquid parameters. By matching the lowest scaling dimensions, we numerically calculate these field-theoretic parameters and track their evolution as a function of the parameters of the lattice model.