573 citations · 2.3k across the 48 of their papers we have counts for
8 papers · 1 filter
Computation of topological phase diagram of disordered PbSnTe using the kernel polynomial method
Daniel Varjas, Michel Fruchart, Anton R. Akhmerov +1
We present an algorithm to determine topological invariants of inhomogeneous systems, such as alloys, disordered crystals, or amorphous systems. Based on the kernel polynomial meth…
Dualities and non-Abelian mechanics
Michel Fruchart, Yujie Zhou, Vincenzo Vitelli
Dualities are mathematical mappings that reveal unexpected links between apparently unrelated systems or quantities in virtually every branch of physics. Systems that are mapped on…
Phase rotation symmetry and the topology of oriented scattering networks
Pierre Delplace, Michel Fruchart, Clément Tauber
We investigate the topological properties of dynamical states evolving on periodic oriented graphs. This evolution, that encodes the scattering processes occurring at the nodes of…
Complex classes of periodically driven topological lattice systems
Michel Fruchart
Periodically driven (Floquet) crystals are described by their quasi-energy spectrum. Their topological properties are characterized by invariants attached to the gaps of this spect…
Probing (topological) Floquet states through DC transport
Michel Fruchart, Pierre Delplace, Joseph Weston +2
We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in t…
Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
David Carpentier, Pierre Delplace, Michel Fruchart +2
We present mathematical details of the construction of a topological invariant for periodically driven two-dimensional lattice systems with time-reversal symmetry and quasienergy g…
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…
An Introduction to Topological Insulators
Michel Fruchart, David Carpentier
Electronic bands in crystals are described by an ensemble of Bloch wave functions indexed by momenta defined in the first Brillouin Zone, and their associated energies. In an insul…