Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects cond-mat.stat-mech,hep-th,math-ph
Date Friday 22 February 2019
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Tauber
Speaker's First Name Clement
Speaker's Email Address
Speaker's Institution ETH Zurich
Title Bulk-edge correspondence in Floquet topological systems
Abstract Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two such systems are characterized by integer-valued topological indices associated to the unitary propagator, alternatively in the bulk or at the edge of a sample. In this talk I will give new definitions of the two indices, relying neither on translation invariance nor on averaging, and show that they are equal. In particular disorder and defects are intrinsically taken into account, even in the mobility gap regime. Finally indices can be defined when two driven sample are placed next to one another either in space or in time, and then shown to be equal. The edge index is interpreted as a quantized pumping occurring at the interface with an effective vacuum, and can also be estimated numerically.
arXiv Preprint Number

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