Classification and construction of interacting fractonic higher-order topological 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.

17 pages, 4 figures with references, comments are welcome!

References in corpus (4)

• Topological Crystalline Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Non-Abelian Hybrid Fracton Orders

Cited by in corpus (8)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Fractonic Higher-Order Topological Phases in Open Quantum Systems
• Intrinsically Interacting Higher-Order Topological Superconductors
• Holographic View of Mixed-State Symmetry-Protected Topological Phases in Open Quantum Systems
• Topological Dipole Insulator
• Subsystem Symmetry-Protected Topological Phases from Subsystem SymTFT of 2-Foliated Exotic Tensor Gauge Theory
• Boundary anomaly detection in two-dimensional subsystem symmetry-protected topological phases
• Spacetime symmetry-enriched SymTFT: from LSM anomalies to modulated symmetries and beyond