Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …

We elaborate that for topological insulators and topological superconductors described by
Dirac models in any dimension and symmetry class, the topological order can be mapped to …

We report on the theoretical investigation of the topological properties of a periodically
quenched one-dimensional dimerized lattice where a piecewise constant Hamiltonian …

Chiral edge currents play an important role in characterizing topological matter. In atoms,
they have been observed at such a low temperature that the atomic motion can be …

A universal feature of topological insulators is that they cannot be adiabatically connected to
an atomic limit, where individual lattice sites are completely decoupled. This property is …

We provide a classification of translation invariant one-dimensional quantum walks with
respect to continuous deformations preserving unitarity, locality, translation invariance, a …

Periodically-driven or Floquet systems can realize anomalous topological phenomena that
do not exist in any equilibrium states of matter, whose classification and characterization …

We classify chiral symmetric periodically driven quantum systems on a one-dimensional
lattice. The driving process is local, can be continuous, or discrete in time, and we assume a …

Using elementary graph theory, we show the existence of interface chiral modes in random
oriented scattering networks and discuss their topological nature. For particular regular …

Building from work by Cedzich et al. and Suzuki et al., we consider topological and index-
theoretic properties of chiral unitaries, which are an abstraction of the time evolution of a …