Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models
Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models
复制标题
DOI：
10.1088/0305-4470/20/18/038
复制
发表时间：
1987-12
期刊：
影响因子：
--
通讯作者：
F. C. Alcaraz;M. N. Barber;M. Batchelor;R. Baxter;G. Quispel
中科院分区：
文献类型：
--
作者：
F. C. Alcaraz;M. N. Barber;M. Batchelor;R. Baxter;G. Quispel
具有自由边界的临界量子Ashkin-Teller链和Potts链的特征谱可以由具有自由边界和复表面场的XXZ链的特征谱得到。通过对这些边界的Bethe ansatz方程的推导和数值求解，作者得到了XXZ链的特征能，最多可达512个位点。量子XXZ、Ashkin-Teller和Potts链的共形异常和表面指数是通过利用它们与质量间隙振幅的关系来计算的，正如共形不变性所预测的那样。
Eigenspectra of the critical quantum Ashkin-Teller and Potts chains with free boundaries can be obtained from that of the XXZ chain with free boundaries and a complex surface field. By deriving and solving numerically the Bethe ansatz equations for such boundaries the authors obtain eigenenergies of XXZ chains of up to 512 sites. The conformal anomaly and surface exponents of the quantum XXZ, Ashkin-Teller, and Potts chains are calculated by exploiting their relations with the mass gap amplitudes as predicted by conformal invariance.