Mathematical Physics Seminar

Organizer(s): 

For more information about this seminar, contact Michael Aizenman

Please click on seminar title for complete abstract.

November 28, 2017
4:30pm - 5:30pm
TBA - Dr. Efi Efrati
Location
Jadwin Hall 343
Speaker: Dr. Efi Efrati,
Weizmann Institute
December 5, 2017
4:30pm - 5:30pm
Bulk-Edge Duality and Complete Localization for Chiral Chains

We study one dimensional insulators obeying a chiral symmetry in the single-particle picture where the Fermi energy is assumed to lie within a mobility gap. Topological invariants are defined for infinite (bulk) or half-infinite (edge) systems, and it is shown that for a given bulk system with nearest neighbor hopping, the invariant is equal to the induced-edge-system's invariant. We also give a new formulation of the topological invariant in terms of the Lyapunov exponents of the system, which sheds light on the conditions for topological phase transition extending to the mobility gap...

Location
Jadwin Hall 343
Speaker: Jacob Shapiro,
ETH