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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…
math-ph2024
Edge states for tight-binding operators with soft walls
Camilo Gómez Araya, David Gontier, Hanne Van Den Bosch
We study one- and two-dimensional periodic tight-binding models under the presence of a potential that grows to infinity in one direction, hence preventing the particles to escape…