【摘要】 研究纵向横向晶体场中自旋为1的量子伊辛自旋二聚化链的基态,发现模型存在一种隐藏的守恒量.采用Jordan-Wigner变换可将其严格映射到自旋为1/2的横场伊辛模型,得到基态能谱的严格解析表达式,给出最小费米激发能隙、最小空穴激发能隙、横向磁矩、横向统计磁化率、最近邻纵向自旋关联函数及基态相图.结果表明:系统的基态强烈依赖于系统的参数,当晶体场二聚化强度变化时系统会呈现一系列量子相变现象.更多还原

【Abstract】 We study dimerized spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies by means of JordanWigner transformation. The system has a hidden conserved quantity with which it can be exactly mapped onto spin-1 /2 transverse Ising model. We obtained analytical expressions of quasi-particles ’ spectra,minimal energy gap for exciting a fermion quasi-particle,minimal energy gap for exciting a hole,transverse magnetism,static transverse susceptibility,the nearest neighboring longitude spinspin-correlation function and ground state phase diagram. It shows that ground states of system are strongly dependent on system parameters. As system parameters periodly change,a series of quantum phase transition appear.更多还原