Amorphous topological matter: theory and experiment

Abstract

Topological phases of matter are ubiquitous in crystals, but less is known about their existence in amorphous systems, that lack long-range order. In this perspective, we review the recent progress made on theoretically defining amorphous topological phases and the new phenomenology that they can open. We revisit key experiments suggesting that amorphous topological phases exist in both solid-state and synthetic amorphous systems. We finish by discussing the open questions in the field, that promises to significantly enlarge the set of materials and synthetic systems benefiting from the robustness of topological matter.

This is an extended version of the article accepted in EPL

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Cited by in corpus (26)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• The Wannier Function Software Ecosystem for Materials Simulations
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Phase transitions and scale invariance in topological Anderson insulators
• Local Chern Marker for Periodic Systems
• Topological superconductivity in Fibonacci quasicrystals
• Structural spillage: an efficient method to identify non-crystalline topological materials
• Topological diffusive metal in amorphous transition metal monosilicides
• Theory of local ${\mathbb{Z}}_2$ topological markers for finite and periodic two-dimensional systems
• Establishing Coherent Momentum-Space Electronic States in Locally Ordered Materials
• Amorphous quantum magnets in a two-dimensional Rydberg atom array
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Quantum Hall effect and Landau levels without spatial long-range correlations
• Structure-driven phase transitions in paracrystalline topological insulators
• Topological zero-modes of the spectral localizer of trivial metals
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• Quantum Hall criticality in an amorphous Chern insulator
• Signatures of Amorphous Shiba State in FeTe${}_{0.55}$Se${}_{0.45}$
• Global and Local Topological Crystalline Markers for Rotation-Symmetric Insulators
• Fluctuations and Correlations of Local Topological Order Parameters in Disordered Two-dimensional Topological Insulators
• Magnon topology driven by altermagnetism
• Laser-induced topological phases in monolayer amorphous carbon
• Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
• Coarse geometric approach to topological phases: Invariants from real-space representations
• Topological transition induced by selective random defects on a honeycomb lattice