A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization I

TL;DR

This paper introduces a new class of asymmetric gapped Hamiltonians on quantum spin chains, characterized by unique ground state structures, expanding the understanding of quantum spin models with asymmetric edge states.

Contribution

It generalizes previous models to include asymmetry and provides a characterization based on five physical properties of ground states.

Findings

Models exhibit asymmetric edge ground states

Characterization by five physical properties

Foundation for further analysis in Part II

Abstract

We introduce a class of gapped Hamiltonians on quantum spin chains, which allows asymmetric edge ground states. This class is an asymmetric generalization of the class of Hamiltonians in [FNS]. It can be characterized by five qualitative physical properties of ground state structures. In this Part I, we introduce the models and investigate their properties.