Article Dans Une Revue Letters in Mathematical Physics Année : 2025

Topological junctions for one-dimensional systems

Résumé

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 present a novel proof of the periodic table of topological insulators in one dimension. We show that edge modes necessarily arise at the junction of two materials having different topological indices. Our approach provides a systematic framework for understanding symmetry-protected modes in one-dimension. It does not rely on periodic nor ergodicity and covers a wide range of operators which includes both continuous and discrete models.

Dates et versions

hal-04854262 , version 1 (23-12-2024)

Identifiants

Citer

David Gontier, Clément Tauber. Topological junctions for one-dimensional systems. Letters in Mathematical Physics, 2025, 115 (3), pp.67. ⟨10.1007/s11005-025-01954-9⟩. ⟨hal-04854262⟩
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