Materials Research Laboratory

Back to Listing

Institute for Condensed Matter Theory Seminar: "Hyperbolic band theory"

Event Type
Seminar/Symposium
Sponsor
The Institute for Condensed Matter Theory
Location
via Zoom
Virtual
Date
Sep 28, 2020   12:00 pm  
Speaker
Joseph Maciejko, University of Alberta
Views
6
Originating Calendar
Physics - Institute for Condensed Matter Theory Seminar

The notions of Bloch wave, crystal momentum, and energy bands are commonly regarded as unique features of crystalline materials with commutative translation symmetries. Motivated by the recent realization of hyperbolic lattices in circuit QED, I will present a hyperbolic generalization of Bloch theory, based on ideas from Riemann surface theory and algebraic geometry. The theory is formulated despite the non-Euclidean nature of the problem and concomitant absence of commutative translation symmetries. The general theory will be illustrated by examples of explicit computations of hyperbolic Bloch wavefunctions and bandstructures.

link for robots only