SPT extension of Z2 quantum Ising model's ferromagnetic phase

• Published in: Physics letters. A Vol. 517; p. 129669
• Main Author: Topchyan, Hrant
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 28.08.2024
• Subjects: Induced edge model; Ising ferromagnet; Symmetry protected topological phases; Ising ferromagnet; Symmetry protected topological phases; Induced edge model
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2024.129669

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 Z2 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. •Method for explicit construction of SPT edge states with arbitrary discrete symmetry is created.•A translation-invariant edge model can be achieved regardless of edge shape.•SPT edge model for Ising ferromagnet is explicitly defined.•The edge model is coupled to a classical gauge field and has an anomalous Z2 x Z2 symmetry.