Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model
Abstract
The ground-state phase diagram is obtained for an antiferromagnetic spin-1 anisotropic biquadratic model. With the help of symmetry and duality transformations, three symmetry-protected trivial phases and one dimerized symmetry-breaking phase are found. Local and nonlocal order parameters are identified to characterize these phases. Quantum phase transitions between the symmetry-protected phases belong to the Gaussian universality class with central charge c =1 , and quantum phase transitions from the symmetry-protected trivial phases to the dimerized phase belong to the Ising universality class with central charge c =1 /2 . In addition, the model admits three characteristic lines of factorized ground states, which are located in the symmetry-protected trivial phases instead of a symmetry-breaking phase, in sharp contrast to other known cases.
- Publication:
-
Physical Review B
- Pub Date:
- August 2020
- DOI:
- 10.1103/PhysRevB.102.085146
- arXiv:
- arXiv:1912.11383
- Bibcode:
- 2020PhRvB.102h5146C
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 5 pages, 5 figures, 1 table