Chiral phase and quantum phase transitions of anisotropicXYchains with three-site interactions
Xiaoxian Liu, Ming Zhong, Hui Xu +1 more
Chiral phase and quantum phase transitions of anisotropic XY chains with the XZY − YZX type of three-site interaction are studied. The phase diagram is obtained by the study of the Lee–Yang zeros, order parameters, and ground-state energy. Besides the paramagnetic and ferromagnetic phases, a new chiral phase is found after the introduction of three-site interactions. In the new phase, we find that the fidelity is zero and the von Neumann entropy SL is proportional to Alog2L with the coefficient A≈1/3 the same as that in the anisotropy transition line of XY chain without three-site interactions. From the ferromagnetic phase to the paramagnetic phase, the quantum critical behavior is same as that identified for the XY spin model without three-site interactions. In this critical line, SL is proportional to Alog2L with A≈1/6, the same as that in the Ising transition line of the XY chain without three-site interactions. From the ferromagnetic phase to the chiral phase and from the chiral phase to the paramagnetic phase, the quantum phase transitions are similar to the anisotropy transitions.
Journal of Statistical Mechanics Theory and Experiment•Jan 10, 2012•19 citations