Fractonic Higher-Order Topological Phases in Open Quantum Systems

TL;DR

This paper explores the extension of higher-order topological phases to open quantum systems with mixed symmetries, proposing a classification scheme based on anomaly cancellation for these novel phases.

Contribution

It introduces intrinsic average higher-order topological phases with subsystem symmetries and develops a classification framework based on anomaly cancellation.

Findings

Identification of two types of intrinsic average higher-order topological phases

Development of a classification scheme for these phases

Analysis of symmetry and anomaly cancellation in open quantum systems

Abstract

In this work, we study the generalization of decohered average symmetry-protected topological phases to open quantum systems with a combination of subsystem symmetries and global symmetries. In particular, we provide examples of two types of intrinsic average higher-order topological phases with average subsystem symmetries. A classification scheme for these phases based on generalized anomaly cancellation criteria of average symmetry is also discussed.