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 trivial 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.

arXiv comment5 pages, 5 figures, 1 table

References in corpus (19)

• Entanglement Entropy and Quantum Field Theory
• Concentrating Partial Entanglement by Local Operations
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Classifying quantum phases using Matrix Product States and PEPS
• Universality of Entropy Scaling in 1D Gap-less Models
• Complete classification of 1D gapped quantum phases in interacting spin systems
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• Detection of Symmetry Protected Topological Phases in 1D
• Scaling of entanglement support for Matrix Product States
• Studying quantum spin systems through entanglement estimators
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Theory of ground state factorization in quantum cooperative systems
• An order parameter for symmetry-protected phases in one dimension
• Separability and ground state factorization in quantum spin systems
• Entanglement entropy of highly degenerate states and fractal dimensions
• Probing Quantum Frustrated Systems via Factorization of the Ground State
• Distinct trivial phases protected by a point-group symmetry in quantum spin chains
• Symmetry-protected intermediate trivial phases in quantum spin chains

Cited by in corpus (1)

• Symmetry protected topological phases beyond groups: The q-deformed bilinear-biquadratic spin chain