The bulk-edge correspondence for continuous dislocated systems
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Publication:2115472
DOI10.5802/aif.3420zbMath1492.81054arXiv1810.10603OpenAlexW3192290593MaRDI QIDQ2115472
Publication date: 17 March 2022
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.10603
Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (7)
Edge states and the valley Hall effect ⋮ Edge states for second order elliptic operators in a channel ⋮ Radiative Decay of Edge States in Floquet Media ⋮ Edge Modes in Subwavelength Resonators in One Dimension ⋮ Periodic Dirac operator with dislocation ⋮ Dirac Operators and Domain Walls ⋮ Mathematical theory for topological photonic materials in one dimension
Cites Work
- Unnamed Item
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- Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
- Topological invariants of edge states for periodic two-dimensional models
- Bulk-edge correspondence for two-dimensional topological insulators
- Virtual bound levels in a gap of the essential spectrum of the weakly perturbed periodic Schrödinger operator
- The index formula and the spectral shift function for relatively trace class perturbations
- A variational approach to dislocation problems for periodic Schrödinger operators
- Surface gap soliton ground states for the nonlinear Schrödinger equation
- Defect modes for dislocated periodic media
- Some singular perturbations of periodic operators
- Edge currents for quantum Hall systems. II: Two-edge, bounded and unbounded geometries
- Estimations de l'effet tunnel pour le double puits. (Estmates of tunneling for the double wells)
- On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
- Semiclassical analysis of low lying eigenvalues. III: Width of the ground state band in strongly coupled solids
- Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique. (Semi-classical behaviour of the Schrödinger operator with periodic potential)
- Scattering theory for systems with different spatial asymptotics on the left and right
- The band-structure of a one-dimensional, periodic system in a scaling limit
- Localized classical waves created by defects
- Charge deficiency, charge transport and comparison of dimensions
- Lattice dislocations in a 1-dimensional model
- Edge states in honeycomb structures
- Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases
- Symmetry and Dirac points in graphene spectrum
- Ruelle zeta function at zero for surfaces
- Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene
- Bulk-edge correspondence for two-dimensional Floquet topological insulators
- Boundary maps for \(C^*\)-crossed products with \(\mathbb R\) with an application to the quantum Hall effect
- The bulk-edge correspondence for disordered chiral chains
- Perturbation theory for linear operators.
- Quantization of edge currents for continuous magnetic operators
- The Fried conjecture in small dimensions
- Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing
- Topological protection of perturbed edge states
- Microlocal analysis of the bulk-edge correspondence
- Spectral properties of grain boundaries at small angles of rotation
- An index of strongly Callias operators on Lorentzian manifolds with non-compact boundary
- Spectral flows of Toeplitz operators and bulk-edge correspondence
- Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry
- Bound states for nano-tubes with a dislocation
- Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
- Wave packets in honeycomb structures and two-dimensional Dirac equations
- Triviality of Bloch and Bloch-Dirac bundles
- On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows
- Equality of the bulk and edge Hall conductances in a mobility gap
- A short course on topological insulators. Band structure and edge states in one and two dimensions
- Ubiquity of conical points in topological insulators
- Dirac Cones for Point Scatterers on a Honeycomb Lattice
- An overview of periodic elliptic operators
- Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
- Topologically protected states in one-dimensional continuous systems and Dirac points
- Dislocation Problems for Periodic Schrödinger Operators and Mathematical Aspects of Small Angle Grain Boundaries
- Defect Modes and Homogenization of Periodic Schrödinger Operators
- Edge states in ordinary differential equations for dislocations
- Multiple wells in the semi-classical limit I
- EDGE CURRENTS FOR QUANTUM HALL SYSTEMS I: ONE-EDGE, UNBOUNDED GEOMETRIES
- The spectral flow, the Fredholm index, and the spectral shift function
- Surface Gap Solitons at a Nonlinearity Interface
- Periodic table for topological insulators and superconductors
- Estimations de l'effet tunnel pour le double puits. II : états hautement excités
- Sur les singularités de van Hove génériques
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
- Spectral asymmetry and Riemannian geometry. III
- EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT
- Eigenvalues in spectral gaps of a perturbed periodic manifold
- Chern number and edge states in the integer quantum Hall effect
- Honeycomb Schrödinger Operators in the Strong Binding Regime
- Topological origin of equatorial waves
- R-torsion and zeta functions for analytic Anosov flows on 3-manifolds
- Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation
- Dirac Operators and Domain Walls
- ERRATUM: Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators
- On the spectrum of a two-dimensional periodic operator with a small localized perturbation
- Continuous bulk and interface description of topological insulators
- An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary
- Honeycomb lattice potentials and Dirac points
- On the spectrum of a periodic operator with a small localized perturbation
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