The bulk-edge correspondence for continuous honeycomb lattices

B. Simon, Holonomy, the quantum adiabatic theorem, and Berry’s phase

1983

Earlier work this paper cites.

N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators

1992

Earlier work this paper cites.

Y. Hatsugai, Chern number and edge states in the integer quantum Hall effect

1993

Earlier work this paper cites.

T. Kato, Perturbation theory for linear operators

1995

Earlier work this paper cites.

J. D. Moore, Lectures on Seiberg–Witten invariants

2001

Earlier work this paper cites.

P. Elbau and G. M. Graf, Equality of bulk and edge Hall conductance revisited

2002

Earlier work this paper cites.

J. Kellendonk, T. Richter, H. Schulz-Baldes, Edge current channels and Chern numbers in the integer quantum Hall effect. Rev. Math. Phys. 14

2002

Earlier work this paper cites.

J. Kellendonk and H. Schulz-Baldes, Quantization of edge currents for continuous magnetic operators

2004

Earlier work this paper cites.

J. Kellendonk and H. Schulz-Baldes, Boundary maps for ℂ ∗ \mathbb{C}^{*} -crossed products with ℝ \mathbb{R} with an application to the quantum Hall effect

2004

Earlier work this paper cites.

A. Elgart, G. M. Graf and J. H. Schenker, Equality of the bulk and edge Hall conductances in a mobility gap

2005

Earlier work this paper cites.

L. Hörmander, The analysis of linear partial differential operators. III. Pseudo-differential operators

2007

Cited alongside, same era.

F. D. M. Haldane and S. Raghu, Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry

2008

Cited alongside, same era.

S. Raghu and F. D. M. Haldane, Analogs of quantum-hall-effect edge states in photonic crystals

2008

Cited alongside, same era.

C. L. Fefferman and M. I. Weinstein, Honeycomb lattice potentials and Dirac points

2012

Cited alongside, same era.

M. Zworski, Semiclassical analysis

2012

Cited alongside, same era.

J. C. Avila, H. Schulz-Baldes and C. Villegas-Blas, Topological invariants of edge states for periodic two-dimensional models

M. Lee, Dirac cones for point scatterers on a honeycomb lattice

2016

Later among the works it cites.

E. Prodan and H. Schulz-Baldes, Bulk and Boundary Invariants for Complex Topological Insulators, From K-Theory to Physics

2016

Later among the works it cites.

C. Bourne, J. Kellendonk and A. Rennie, The K-theoretic bulk–edge correspondence for topological insulators

2017

Later among the works it cites.

C. L. Fefferman, J. P. Lee-Thorp and M. I. Weinstein, Topologically protected states in one-dimensional systems

2017

Later among the works it cites.

Y. Kubota, Controlled topological phases and bulk-edge correspondence

2017

Later among the works it cites.

G. Berkolaiko and A. Comech, Symmetry and Dirac points in graphene spectrum