Topological insulators are crystalline solids with supposedly very special properties. If
stumbling upon such a crystal, which is possible because topological insulators are known …

An index theorem for higher Chern characters of odd Fredholm modules over crossed
product algebras is proved, together with a local formula for the associated cyclic cocycle …

When a flux quantum is pushed through a gapped two-dimensional tight-binding operator,
there is an associated spectral flow through the gap which is shown to be equal to the index …

We study topological indices of Fermionic time-reversal invariant topological insulators in
two dimensions, in the regime of strong Anderson localization. We devise a method to …

The Bott index is an index that discerns among pairs of unitary matrices that can or cannot
be approximated by a pair of commuting unitary matrices. It has been successfully employed …

Topological insulators are solid state systems of independent electrons for which the Fermi
level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial …

Two recent papers proved that complex index pairings can be calculated as the half-
signature of a finite dimensional matrix, called the spectral localizer. This paper contains a …

At the interface of two two-dimensional quantum systems, there may exist interface currents
similar to edge currents in quantum Hall systems. It is proved that these interface currents …

We establish dynamical localization for random Dirac operators on the d-dimensional lattice,
with d ∈\left {1, 2, 3\right\} d∈ 1, 2, 3, in the three usual regimes: large disorder, band edge …

Topological phases of gapped one-particle Hamiltonians with (anti)-unitary symmetries are
classified by strong topological invariants according to the Altland-Zirnbauer table. Those …