2 papers
math-ph2025
The index of a pair of pure states and the interacting integer quantum Hall effect
Sven Bachmann, Jacob Shapiro, Clément Tauber +1
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…
math-ph2024
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…