267 citations · 712 across the 6 of their papers we have counts for
5 papers · 1 filter
Topological index for periodically driven time-reversal invariant 2D systems
David Carpentier, Pierre Delplace, Michel Fruchart +1
We define a new -valued index to characterize the topological properties of periodically driven two dimensional crystals when the time-reversal symmetry is enforced. This inde…
Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
J. K. Asboth, B. Tarasinski, P. Delplace
Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the numbe…
Topological Weyl Semi-metal from a Lattice Model
Pierre Delplace, Jian Li, David Carpentier
We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The W…
WKB analysis of edge states in graphene in a strong magnetic field
Pierre Delplace, Gilles Montambaux
We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be descr…
A semi-Dirac point in the Hofstadter spectrum
P. Delplace, G. Montambaux
The spectrum of tight binding electrons on a square lattice with half a magnetic flux quantum per unit cell exhibits two Dirac points at the band center. We show that, in the prese…