Quantum phase transitions in a generalized compass chain with three-site interactions

Article

关键词: XY-MODEL;    ISING-MODEL;    STATISTICAL-MECHANICS;    DIMER PROBLEM;    SIMULATION;    ENTANGLEMENT;    FRUSTRATION;    STATE;    ORDER;    LAWS;   

DOI  :  10.1103/PhysRevB.93.214417

来源: SCIE

【 摘 要 】

We consider a class of one-dimensional compass models with an XYZ-YZX type of three-site exchange interaction in an external magnetic field. We present the exact solution derived by means of Jordan-Wigner transformation, and study the excitation gap, spin correlations, and establish the phase diagram. Besides the canted antiferromagnetic and polarized phases, the three-site interactions induce two distinct chiral phases, corresponding to gapless spinless-fermion systems having two or four Fermi points. We find that the z component of the scalar chirality operator can act as an order parameter for these chiral phases. We also find that the thermodynamic quantities including the Wilson ratio can characterize the liquid phases. Finally, a nontrivial magnetoelectric effect is explored, and we show that the polarization can be manipulated by the magnetic field in the absence of electric field.

【 授权许可】

Free