Chern number and edge states in the integer quantum Hall effect
From MaRDI portal
Publication:4492099
DOI10.1103/PhysRevLett.71.3697zbMath0972.81712OpenAlexW1993382772WikidataQ74541739 ScholiaQ74541739MaRDI QIDQ4492099
Publication date: 16 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrevlett.71.3697
Related Items
Anyons in an exactly solved model and beyond ⋮ Estimating bulk and edge topological indices in finite open chiral chains ⋮ Topological charge conservation for continuous insulators ⋮ Large-\(N\) Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect ⋮ Angles in fuzzy disc and angular noncommutative solitons ⋮ Charged particles interaction in both a finite volume and a uniform magnetic field: II. Topological and analytic properties of a magnetic system ⋮ T-duality simplifies bulk-boundary correspondence ⋮ On the role of symmetries in the theory of photonic crystals ⋮ Topological insulators from the perspective of non-commutative geometry and index theory ⋮ Edge states in honeycomb structures ⋮ Universal edge transport in interacting Hall systems ⋮ Topological invariants of edge states for periodic two-dimensional models ⋮ Ubiquity of conical points in topological insulators ⋮ Topology in shallow-water waves: a violation of bulk-edge correspondence ⋮ Quantization of interface currents ⋮ Fu-Kane-Mele monopoles in semimetals ⋮ Edge states and the valley Hall effect ⋮ Bulk-edge correspondence for two-dimensional topological insulators ⋮ Topological invariants for interface modes ⋮ An index theorem for quarter-plane Toeplitz operators via extended symbols and gapped invariants related to corner states ⋮ Edge states for second order elliptic operators in a channel ⋮ Triple-meron crystal in high-spin Kitaev magnets ⋮ Edge State Dynamics Along Curved Interfaces ⋮ Software implementation for calculating Chern and \(\mathbb{Z}_2\) topological invariants of crystalline solids with WIEN2k all-electron density functional package ⋮ Bulk-boundary correspondence for Sturmian Kohmoto-like models ⋮ Topology in shallow-water waves: a spectral flow perspective ⋮ Crystallographic T-duality ⋮ Topology, Oxidation States, and Charge Transport in Ionic Conductors ⋮ Thermoelectric Effect in a Fibonacci Chain with AAH Modulation: A Theoretical Study ⋮ Signatures of lattice geometry in quantum and topological Hall effect ⋮ Thermal Hall conductivity with sign change in the Heisenberg–Kitaev kagome magnet ⋮ Bulk-edge correspondence and the cobordism invariance of the index ⋮ Topology of 2D Dirac operators with variable mass and an application to shallow-water waves ⋮ The renormalization group. Abstracts from the workshop held July 17--23, 2022 ⋮ Robust edge modes in dislocated systems of subwavelength resonators ⋮ Equivalence of electric, magnetic, and electromagnetic Chern numbers for topological photonic crystals ⋮ Edge states of mechanical diamond and its topological origin ⋮ Topologically protected states in one-dimensional continuous systems and Dirac points ⋮ Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes ⋮ Edge states and topological orders in the spin liquid phases of star lattice ⋮ Spontaneous edge currents for the Dirac equation in two space dimensions ⋮ Quantum walks in an inhomogeneous off-diagonal Aubry-André-Harper model ⋮ Topological properties of an extend Su-Schrieffer-Heeger model under periodic kickings ⋮ An elementary rigorous proof of bulk-boundary correspondence in the generalized Su-Schrieffer-Heeger model ⋮ On critical properties of the Berry curvature in the Kitaev honeycomb model ⋮ Operators, Algebras and Their Invariants for Aperiodic Tilings ⋮ Topology by dissipation ⋮ Edge states in ordinary differential equations for dislocations ⋮ Quantization of edge currents along magnetic interfaces: a \(K\)-theory approach ⋮ Topological insulators and semimetals in classical magnetic systems ⋮ Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices ⋮ Topological phase transitions on the square-octagon lattice driven by the Rashba spin-orbit coupling and staggered potential ⋮ Bulk-edge correspondence for two-dimensional Floquet topological insulators ⋮ Classification of topological invariants related to corner states ⋮ BROKEN SYMMETRY AND TOPOLOGY IN PHOTONIC ANALOG OF GRAPHENE ⋮ The \(K\)-theoretic bulk-boundary principle for dynamically patterned resonators ⋮ Two-dimensional time-reversal-invariant topological insulators via Fredholm theory ⋮ A bulk-interface correspondence for equatorial waves ⋮ Microlocal analysis of the bulk-edge correspondence ⋮ EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT ⋮ T-duality simplifies bulk-boundary correspondence: some higher dimensional cases ⋮ Wave-packet propagation in a finite topological insulator and the spectral localizer index ⋮ The edge spectrum of Chern insulators with rough boundaries ⋮ Quantum Hall effect and Langlands program ⋮ Topological invariants and corner states for Hamiltonians on a three-dimensional lattice ⋮ Quantum skyrmionics ⋮ The colored Hofstadter butterfly for the honeycomb lattice ⋮ An elementary proof and detailed investigation of the bulk-boundary correspondence in the generic two-band model of Chern insulators ⋮ The bulk-edge correspondence in three simple cases ⋮ The bulk-edge correspondence for continuous honeycomb lattices ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Toeplitz operators on concave corners and topologically protected corner states ⋮ Spectral flows of Toeplitz operators and bulk-edge correspondence ⋮ Hyperbolic band theory through Higgs bundles ⋮ Multi-channel Luttinger liquids at the edge of quantum Hall systems ⋮ Computing Edge States without Hard Truncation ⋮ BAND COLLAPSE AND THE QUANTUM HALL EFFECT IN GRAPHENE ⋮ Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes ⋮ New metamaterial mathematical modeling of acoustic topological insulators via tunable underwater local resonance ⋮ Mod-two APS index and domain-wall fermion ⋮ The bulk-edge correspondence for continuous dislocated systems ⋮ Winding vectors of topological defects: multiband Chern numbers ⋮ Mathematical theory for topological photonic materials in one dimension ⋮ Boundary conditions for the quantum Hall effect
Cites Work