Integrable Multi-impurity Open XXZ Chain with Next-Nearest-Neighbor Interaction
LAI Yun-zhong1,2,3, ZHANG Ai-zhen1,2, HU Zhan-ning1, LIANG Jiu-qing2, PU Fu-ke1,4
1Institute of Physics and Center for Condensed Matter Physics, Chinese Academy of Sciences, Beijing 100080
2Institute of Theoretical Physics, Shanxi University, Taiyuan 030006
3Department of Applied Science, Taiyuan Heavy Machinery Institute, Taiyuan 030024
4Department of Physics, Guangzhou Normal College, Guangzhou 510400
Integrable Multi-impurity Open XXZ Chain with Next-Nearest-Neighbor Interaction
LAI Yun-zhong1,2,3;ZHANG Ai-zhen1,2;HU Zhan-ning1;LIANG Jiu-qing2;PU Fu-ke1,4
1Institute of Physics and Center for Condensed Matter Physics, Chinese Academy of Sciences, Beijing 100080
2Institute of Theoretical Physics, Shanxi University, Taiyuan 030006
3Department of Applied Science, Taiyuan Heavy Machinery Institute, Taiyuan 030024
4Department of Physics, Guangzhou Normal College, Guangzhou 510400
Abstract： The Hamiltonian of one-dimensional integrable multi-impurity XXZ spin chain with open boundary cases is constructed by using the method of adding parameters to the vertical matrices. This is the first approach to add multi-impurity and next-nearest-neighbor interaction to the integrable anisotropic Heisenberg spin chain. It is found that all of the impurity parameters in the bulk must be pure imaginary numbers if the cross parameter is real for getting the hermitian Hamiltonian, or vice versa, when the next-nearest-neighbor interactions are introduced. The Hamiltonian can be also applied to describe the many body systems with two kinds of particles if all of the impurity parameters are equal.
1999, Vol. 16 
