12 citations · 12 across the 4 of their papers we have counts for
4 papers
Augmentation and Bulk Edge Correspondence for one dimensional aperiodic tight binding operators
Johannes Kellendonk, Lorenzo Scaglione
We consider a particular class of 1D aperiodic models with the aim to understand how their internal degrees of freedom contribute to their topological invariants and the possible r…
The role of self-adjoint extensions in the bulk-edge correspondence
Johannes Kellendonk, Tom Stoiber
We investigate the role of self-adjoint extensions in the bulk-edge correspondence for topological insulators. While the correspondence is well understood in discrete models with s…
Quantization of edge currents for continuous magnetic operators
Johannes Kellendonk, Hermann Schulz-Baldes
For a magnetic Hamiltonian on a half-plane given as the sum of the Landau operator with Dirichlet boundary conditions and a random potential, a quantization theorem for the edge cu…
Topological quantization of boundary forces and the integrated density of states
Johannes Kellendonk
For quantum systems described by Schrödinger operators on the half-space $\RR^{d-1}\times\RR^{leq 0}$ the boundary force per unit area and unit energy is topologically quantised pr…