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

TL;DR

This paper develops a new symmetry-protected topological (SPT) model extending the $Z_2$ Ising ferromagnetic phase on a triangular lattice, incorporating realistic interactions and enabling translation-invariant edge state construction.

Contribution

It introduces a novel SPT model based on an initially interacting system with four-point spin interactions, advancing the creation of physically realizable topological phases.

Findings

Constructed a translation-invariant edge model for SPT phases.

Developed a generic technique for creating SPT models with realistic interactions.

Extended the $Z_2$ Ising model to include SPT phases on a triangular lattice.

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.