74 citations · 582 across the 21 of their papers we have counts for
14 papers · 1 filter
The index of a pair of pure states and the interacting integer quantum Hall effect
Sven Bachmann, Jacob Shapiro, Clément Tauber
We introduce the index of a pair of pure states on a unital C*-algebra, which is a generalization of the notion of the index of a pair of projections on a Hi…
Topological junctions for one-dimensional systems
David Gontier, Clément Tauber
We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we pr…
Classifying bulk-edge anomalies in the Dirac Hamiltonian
Hansueli Jud, Clément Tauber
We study the Dirac Hamiltonian in dimension two with a mass term and a large momentum regularization, and show that bulk-edge correspondence fails. Despite a well defined bulk topo…
A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber
We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice . This system is assumed to be initially…
Approach to equilibrium in translation-invariant quantum systems: some structural results
Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber
We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth…
Estimating bulk and edge topological indices in finite open chiral chains
Lucien Jezequel, Clément Tauber, Pierre Delplace
We develop a formalism to extend, simultaneously, the usual definition of bulk and edge indices from topological insulators to the case of a finite sample with open boundary condit…
Topology in shallow-water waves: A spectral flow perspective
Clément Tauber, Guo Chuan Thiang
In the context of topological insulators, the shallow-water model was recently shown to exhibit an anomalous bulk-edge correspondence. For the model with a boundary, the parameter…
Topology in shallow-water waves: a violation of bulk-edge correspondence
Gian Michele Graf, Hansueli Jud, Clément Tauber
We study the two-dimensional rotating shallow-water model describing Earth's oceanic layers. It is formally analogue to a Schrödinger equation where the tools from topological insu…
Eigenvalue crossings in Floquet topological systems
Kiyonori Gomi, Clément Tauber
The topology of electrons on a lattice subject to a periodic driving is captured by the three-dimensional winding number of the propagator that describes time-evolution within a cy…
Strongly Disordered Floquet Topological Systems
Jacob Shapiro, Clément Tauber
We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum…
Spin Conductance and Spin Conductivity in Topological Insulators: Analysis of Kubo-like terms
Giovanna Marcelli, Gianluca Panati, Clément Tauber
We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu-Kane-Mele index w…
Bulk-Edge correspondence for two-dimensional Floquet topological insulators
Gian Michele Graf, Clément Tauber
Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In di…
Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-Mele
Domenico Monaco, Clément Tauber
We establish a connection between two recently-proposed approaches to the understanding of the geometric origin of the Fu-Kane-Mele invariant , arisi…
Global gauge anomalies in coset models of conformal field theory
Paul de Fromont, K. Gawȩdzki, Clément Tauber
We study the occurrence of global gauge anomalies in the coset models of two-dimensional conformal field theory that are based on gauged WZW models. A complete classification of th…