Topological phases of amorphous matter

Abstract

Topological phases of matter are often understood and predicted with the help of crystal symmetries, although they don't rely on them to exist. In this chapter we review how topological phases have been recently shown to emerge in amorphous systems. We summarize the properties of topological states and discuss how disposing of translational invariance has motivated the surge of new tools to characterize topological states in amorphous systems, both theoretically and experimentally. The ubiquity of amorphous systems combined with the robustness of topology has the potential to bring new fundamental understanding in our classification of phases of matter, and inspire new technological developments.

44 pages, 5 Figures. v3 updated references. Contributed chapter to "Low-Temperature Thermal and Vibrational Properties of Disordered Solids" (A Half-Century of universal "anomalies" of glasses), Ed. M. A. Ramos, to appear

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Cited by in corpus (4)

• Plasticity in amorphous solids is mediated by topological defects in the displacement field
• Symmetry-Protected Topological Phases in a Rydberg Glass
• Robustness of chiral edge modes in fractal-like-lattices below two dimensions: A case study
• Linear magnetization dependence and large intrinsic anomalous Hall effect in Fe78Si9B13 metallic glasses