Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
arXiv:2309.05990 · doi:10.21468/SciPostPhys.18.5.146
Abstract
Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with multiple pairs of Weyl points, is a significant challenge. If a system respects time-reversal symmetry, then the anomalous Hall conductivity even vanishes. As such, it remains an open question how to probe the Weyl band like topology in amorphous materials. Here, we theoretically demonstrate that, under magnetic fields, a topological metal slab in amorphous systems exhibits three-dimensional quantum Hall effect, even in time-reversal invariant systems, thereby providing a feasible approach to exploring Weyl band like topology in amorphous materials. We unveil the topological origin of the quantized Hall conductance by calculating the Bott index. The index is carried by broadened Landau levels with bulk states spatially localized except at critical transition energies.The topological property also results in edge states localized at distinct hinges on two opposite surfaces.
21 pages, 10 figures, including the appendix
References in corpus (71)
- Berry Phase Effects on Electronic Properties
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Type-II Weyl Semimetals
- Weyl Semimetal in a Topological Insulator Multilayer
- Experimental discovery of Weyl semimetal TaAs
- Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- Experimental observation of Weyl points
- The Kernel Polynomial Method
- Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
- Magnetic Weyl Semimetal Phase in a Kagome Crystal
- Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
- Topological Semimetals
- Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2
- Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
- Spectroscopic evidence for type II Weyl semimetal state in MoTe2
- Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
- Amorphous topological insulators constructed from random point sets
- Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
- Disordered Topological Insulators via -Algebras
- Topological Insulators in Random Lattices
- 3D quantum Hall effect of Fermi arcs in topological semimetals
- Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
- Quantum transport of disordered Weyl semimetals at the nodal point
- Quantum Hall states observed in thin films of Dirac semimetal Cd3As2
- Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
- Disorder and metal-insulator transitions in Weyl semimetals
- Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2
- Higher-order topological insulators in amorphous solids
- Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
- Amorphous photonic topological insulator
- Topological Amorphous Metals
- Quantum oscillations from generic surface Fermi arcs and bulk chiral modes in Weyl semimetals
- Chirality Hall Effect in Weyl Semimetals
- Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
- Topological Weaire-Thorpe models of amorphous matter
- Observation of spin-momentum locked surface states in amorphous BiSe
- Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
- Toward Realistic Amorphous Topological Insulators
- Emergent Electromagnetic Induction and Adiabatic Charge Pumping in Weyl Semimetals
- 3D Quantum Hall Effect Manipulated by Chiral Landau Levels in Weyl Semimetals
- Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
- Amorphous topological superconductivity in a Shiba glass
- Almost Commuting Matrices, Localized Wannier Functions, and the Quantum Hall Effect
- Local invariants identify topology in metals and gapless systems
- Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
- Weyl semimetal to metal phase transitions driven by quasiperiodic potentials
- Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
- Non-Commutative Chern Numbers for Generic Aperiodic Discrete Systems
- Amorphous topological matter: theory and experiment
- Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
- Higher-order topological phases in crystalline and non-crystalline systems: a review
- Topological phase transitions in glassy quantum matter
- Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
- Classifying topology in photonic heterostructures with gapless environments
- The Global Phase Diagram of disordered Higher-order Weyl Semimetals
- Invariants of disordered semimetals via the spectral localizer
- Criticality in amorphous topological matter -- beyond the universal scaling paradigm
- Fractionalization and topology in amorphous electronic solids
- Topological and conventional phases of a three dimensional electron glass
- Structural and electronic properties of realistic two-dimensional amorphous topological insulators
- Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
- Average Symmetry Protected Higher-order Topological Amorphous Insulators
- Topological Insulator in an Atomic Liquid
- Topological diffusive metal in amorphous transition metal monosilicides
- Quantum Hall effect and Landau levels without spatial long-range correlations
- Fractional Quantum Hall Effect Based on Weyl Orbits
- Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation
- Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals