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Ground States of Dimerized Spin-1 lsing Chain with Both Longitudinal and Transverse Single-Ion Anisotropies
WU Haina, GONG Weijiang, YI Guangyu, WEI Guozhu
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2015, 32 (3): 374-378.  
Abstract337)      PDF (1190KB)(1158)      
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.
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