关键词: 二聚化, 自旋伊辛链, 量子相变, 基态性质

Abstract: We study dimerized spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies by means of Jordan-Wigner 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 spin-spin-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.

Key words: dimerization, spin-Ising chain, quantum phase transition, ground state properties