Topological Amorphous Metals

Abstract

We study amorphous systems with completely random sites and find that, through constructing and exploring a concrete model Hamiltonian, such a system can host an exotic phase of topological amorphous metal in three dimensions. In contrast to the traditional Weyl semimetals, topological amorphous metals break translational symmetry, and thus cannot be characterized by the first Chern number defined based on the momentum space band structures. Instead, their topological properties will manifest in the Bott index and the Hall conductivity as well as the surface states. By studying the energy band and quantum transport properties, we find that topological amorphous metals exhibit a diffusive metal behavior. We further introduce a practical experimental proposal with electric circuits where the predicted phenomena can be observed using state-of-the-art technologies. Our results open a door for exploring topological gapless phenomena in amorphous systems.

arXiv comment12 pages, 10 figures, including SMs, Editors' suggestion

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Cited by in corpus (54)

• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Topolectric circuits: Theory and construction
• Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
• Topological Weaire-Thorpe models of amorphous matter
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• Higher-order topological insulators and semimetals in generalized Aubry-André-Harper models
• Local invariants identify topology in metals and gapless systems
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
• Topological phase transitions in glassy quantum matter
• Symmetry-Protected Topological Phases in a Rydberg Glass
• Topological photonic alloy
• Experimental realization of two-dimensional weak topological insulators
• Large and Robust Charge-to-Spin Conversion in Sputtered Conductive WTex with Disorder
• Amorphous topological phases protected by continuous rotation symmetry
• Fractionalization and topology in amorphous electronic solids
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Hinge solitons in three-dimensional second-order topological insulators
• Topological Random Fractals
• Topological and conventional phases of a three dimensional electron glass
• Noncrystalline topological superconductors
• Topological Anderson amorphous insulator
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Rashba-Zener mechanism for nanoscale skyrmions and topological metals
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Density-driven higher-order topological phase transitions in amorphous solids
• Quasicrystalline Weyl points and dense Fermi-Bragg arcs
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• Structural spillage: an efficient method to identify non-crystalline topological materials
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• Fractal Surface States in Three-Dimensional Topological Quasicrystals
• Quantum Hall effect and Landau levels without spatial long-range correlations
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
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• Characterization of higher-order topological superconductors using Bott indices
• Topological zero-modes of the spectral localizer of trivial metals
• Topological phases of amorphous matter
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• Quantum Hall criticality in an amorphous Chern insulator
• Linear magnetization dependence and large intrinsic anomalous Hall effect in Fe78Si9B13 metallic glasses
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