Topological diffusive metal in amorphous transition metal monosilicides

Abstract

In chiral crystals crystalline symmetries can protect multifold fermions, pseudo-relativistic masless quasiparticles that have no high-energy counterparts. Their realization in transition metal monosilicides has exemplified their intriguing physical properties, such as long Fermi arc surface states and unusual optical responses. Recent experimental studies on amorphous transition metal monosilicides suggest that topological properties may survive beyond crystals, even though theoretical evidence is lacking. Motivated by these findings, we theoretically study a tight-binding model of amorphous transition metal monosilicides. We find that topological properties of multifold fermions survive in the presence of structural disorder that converts the semimetal into a diffusive metal. We characterize this topological diffusive metal phase with the spectral localizer, a real-space topological indicator that we show can signal multifold fermions. Our findings showcase how topological properties can survive in disordered metals, and how they can be uncovered using the spectral localizer.

arXiv comment8 + 12 pages; 4 + 13 figures. Published version

References in corpus (72)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Random-Matrix Theory of Quantum Transport
• Kwant: a software package for quantum transport
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• The Kernel Polynomial Method
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Quantized circular photogalvanic effect in Weyl semimetals
• Synthesis and properties of free-standing monolayer amorphous carbon
• Topological quantum properties of chiral crystals
• Multiple types of topological fermions in transition metal silicides
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Discovery of topological chiral crystals with helicoid arc states
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Amorphous topological insulators constructed from random point sets
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
• Mapping topological order in coordinate space
• Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
• Observation of Topological Photocurrents in the Chiral Weyl Semimetal RhSi
• Disordered Topological Insulators via $C^{\ast }$-Algebras
• Topological Insulators in Random Lattices
• Chiral Optical Response of Multifold Fermions
• Existence of bulk chiral fermions and crystal symmetry
• Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Higher-order topological insulators in amorphous solids
• K-Theory and Pseudospectra for Topological Insulators
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Band structure and unconventional electronic topology of CoSi
• Topological Amorphous Metals
• Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
• Topological Weaire-Thorpe models of amorphous matter
• Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
• Observation of spin-momentum locked surface states in amorphous Bi${}_2$Se${}_3$
• Toward Realistic Amorphous Topological Insulators
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• Effective field theory of the disordered Weyl semimetal
• Optical signatures of multifold fermions in the chiral topological semimetal CoSi
• Local invariants identify topology in metals and gapless systems
• Theory of the strongly disordered Weyl semimetal
• Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions
• Quasi-symmetry protected topology in a semi-metal
• Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
• On the disorder-driven quantum transition in three-dimensional relativistic metals
• Amorphous topological matter: theory and experiment
• Single crystal growth and magnetoresistivity study of topological semimetal CoSi
• Tilted disordered Weyl semimetals
• Vanishing density of states in weakly disordered Weyl semimetals
• Topological phase transitions in glassy quantum matter
• Nodal points of Weyl semimetals survive the presence of moderate disorder
• The Global Phase Diagram of disordered Higher-order Weyl Semimetals
• Amorphous topological phases protected by continuous rotation symmetry
• Criticality in amorphous topological matter -- beyond the universal scaling paradigm
• Invariants of disordered semimetals via the spectral localizer
• Topological and conventional phases of a three dimensional electron glass
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• Weyl node with random vector potential
• The theory of avoided criticality in quantum motion in a random potential in high dimensions
• Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone
• Application of Convolutional Neural Network to Quantum Percolation in Topological Insulators
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Quantum Multicriticality in Disordered Weyl Semimetal
• Density-driven higher-order topological phase transitions in amorphous solids
• Topological Insulator in an Atomic Liquid
• Hierarchy of quasi-symmetries and degeneracies in chiral crystal materials CoSi
• Disorder-driven quantum transition in relativistic semimetals: functional renormalization via the porous medium equation
• Establishing Coherent Momentum-Space Electronic States in Locally Ordered Materials
• Disorder effects on triple-point fermions
• Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
• Topological zero-modes of the spectral localizer of trivial metals

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• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Real-space topological invariant for time-quasiperiodic Majoranas
• Band Curvature Effects on Quantum Transport of Spin-1 Chiral Fermion Systems
• Topological zero-modes of the spectral localizer of trivial metals
• Signatures of Amorphous Shiba State in FeTe${}_{0.55}$Se${}_{0.45}$
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals