Classification and construction of interacting fractonic higher-order topological phases

TL;DR

This paper explores higher-order topological phases in systems with subsystem and global symmetries, focusing on fractonic dynamics in 2D and 3D interacting bosonic and fermionic systems.

Contribution

It systematically classifies and constructs higher-order topological phases protected by subsystem and global symmetries in interacting bosonic and fermionic systems.

Findings

Identification of new higher-order topological phases with fractonic properties

Construction methods for phases protected by subsystem symmetries

Examples of interacting fermionic and bosonic systems exhibiting these phases

Abstract

The notion of higher-order topological phases can have interesting generalizations to systems with subsystem symmetries that exhibit fractonic dynamics for charged excitations. In this work, we systematically study the higher-order topological phases protected by a combination of subsystem symmetries and ordinary global symmetries in two and three-dimensional interacting boson systems, with some interacting fermionic examples.