SPT extension of $Z_2$ quantum Ising model's ferromagnetic phase

Abstract

This paper focuses on the creation of a model with explicitly defined symmetry-protected topological (SPT) phases on a triangular lattice as an extension of $Z_2$ Ising model's ferromagnetic phase. Unlike in previously known similar works, this model is based on an initially interacting system which is known to describe experimentally realizable physical systems. The Hamiltonian for these edge states contains four-point spin interactions between next-to-next nearest neighbors. As an initially interacting A generic technique for creating SPT models is developed, allowing for the construction of translation-invariant edge models.

References in corpus (33)

• Symmetry protected topological orders and the group cohomology of their symmetry group
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Zoo of quantum-topological phases of matter
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Symmetry Protected Topological phases of Quantum Matter
• Braiding statistics approach to symmetry-protected topological phases
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Fermionic Symmetry Protected Topological Phases and Cobordisms
• Detection of Symmetry Protected Topological Phases in 1D
• Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
• Topological phases with parafermions: theory and blueprints
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge
• Topological phases protected by point group symmetry
• Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
• The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry
• Entanglement negativity and topological order
• Abelian Floquet symmetry-protected topological phases in one dimension
• Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
• Topological color code and symmetry-protected topological phases
• Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
• Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions
• Topological field theories and symmetry protected topological phases with fusion category symmetries
• Anomalies in bosonic SPT edge theories: connection to F-symbols and a method for calculation
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Bosonic Crystalline Symmetry Protected Topological Phases Beyond the Group Cohomology Proposal
• Unwinding Fermionic SPT Phases: Supersymmetry Extension
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Counterdiabatic route for preparation of state with long-range topological order
• Edge theories of 2D fermionic symmetry protected topological phases protected by unitary Abelian symmetries
• Interacting Edge States of Fermionic Symmetry-Protected Topological Phases in Two Dimensions
• $Z_3$ and $(\times Z_3{)}^3$ symmetry protected topological paramagnets

Cited by in corpus (1)

• Two-dimensional topological paramagnets protected by ${\mathbb{Z}}_3$ symmetry: Properties of the boundary Hamiltonian