Cornell University

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Quantum Theory Seminar with Julian May-Mann (University of Illinois Urbana-Champaign)

Friday, April 15, 2022 at 3:00pm

Virtual Event

Field Theories of Higher-Order Topological Insulators in Two-Dimensions

Two-dimensional higher-order topological insulators can display a number of exotic phenomena, such as half-integer charges localized at corners or disclination defects. In this talk, I will analyze these phenomena, focusing on the paradigmatic example of the quadrupole insulator (Benalcazar-Bernevig-Hughes model) with 

C4 rotation symmetry, and present a topological field theory description of the mixed geometry-charge responses. This theory provides a unified description of the corner and disclination charges in terms of a physical geometry (which encodes disclinations), and an effective geometry (which encodes corners). I will also extend this analysis to interacting systems, and predict the response of a fractional quadrupole insulator with topological order.



Zoom link for the seminar is


For all local attendance, the venue is Clark 701.



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physics, lassp, quantum_site, quantum_theory


Julian May-Mann

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