Fractionalization and topology in amorphous electronic solids

Abstract

Band-topology is traditionally analyzed in terms of gauge-invariant observables associated with crystalline Bloch wavefunctions. Recent work has demonstrated that many of the free fermion topological characteristics survive even in an amorphous setting. In this work, we extend these studies to incorporate the effect of strong repulsive interactions on the fate of topology and other correlation induced phenomena. Using a parton-based approach, we obtain the interacting phase diagram for an electronic two-orbital model with tunable topology in a two dimensional amorphous network. In addition to the (non-)topological phases that are adiabatically connected to the free fermion limit, we find a number of strongly interacting amorphous analogs of crystalline Mott insulating phases with non-trivial chiral neutral edge modes, and a fractionalized Anderson insulating phase. The amorphous networks thus provide a new playground for studying a plethora of exotic states of matter, and their glassy dynamics, due to the combined effects of non-trivial topology, disorder, and strong interactions.

5 pages, 4 figures. Supplementary material: 3 pages, 5 figures

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• Amorphous quantum magnets in a two-dimensional Rydberg atom array
• Quantum Hall effect and Landau levels without spatial long-range correlations
• Structure-driven phase transitions in paracrystalline topological insulators
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Quasicrystalline Spin Liquid
• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Chiral spin liquid phase in an optical lattice at mean-field level
• Quantum Hall criticality in an amorphous Chern insulator
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
• Gaplessness from disorder and quantum geometry in gapped superconductors