Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
type: Item
instance of: scholarly article
title: Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
zbMATH Open document ID: 1400.81109
author: Shin Hayashi
published in: Communications in Mathematical Physics
publication date: 2018-10-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1611.09680
Mathematics Subject Classification ID: 81Q35
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81S05
Mathematics Subject Classification ID: 82D20
Mathematics Subject Classification ID: 81V70
zbMATH DE Number: 6958481
MaRDI profile type: Publication
OpenAlex ID: W2559042568
Wikidata QID: Q114230958
arXiv ID: 1611.09680
cites work: Index theory for skew-adjoint Fredholm operators
cites work: Topological invariants of edge states for periodic two-dimensional models
cites work: Q3752945
cites work: The noncommutative geometry of the quantum Hall effect
cites work: Quantized electric multipole insulators
cites work: Q4222027
cites work: Spectra of Tensor Products of Operators
cites work: Q5468826
cites work: The bulk-edge correspondence for the quantum Hall effect in Kasparov theory
cites work: The \(K\)-theoretic bulk-edge correspondence for topological insulators
cites work: \(C^*\)-algebras of operators on a half-space. I
cites work: An index theorem for Wiener-Hopf operators on the discrete quarter-plane
cites work: On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane
cites work: Q4284564
cites work: Q3838092
cites work: Equality of bulk and edge Hall conductance revisited
cites work: Bulk-edge correspondence for two-dimensional topological insulators
cites work: Chern number and edge states in the integer quantum Hall effect
cites work: Bulk-edge correspondence and the cobordism invariance of the index
cites work: Q4526797
cites work: On Fredholm Operators in Quarter-Plane Toeplitz Algebras
cites work: EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT
cites work: Periodic table for topological insulators and superconductors
cites work: Controlled topological phases and bulk-edge correspondence
cites work: T-duality simplifies bulk-boundary correspondence
cites work: Q3997462
cites work: Q3357740
cites work: ON THE K-THEORY OF QUARTER-PLANE TOEPLITZ ALGEBRAS
cites work: Self-Adjoint Fredholm Operators And Spectral Flow
cites work: Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
cites work: Q4520088
cites work: Simultaneous quantization of edge and bulk Hall conductivity
cites work: Q3135819
DOI: 10.1007/S00220-018-3229-2
description: scientific article