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SUMMARY:Joseph Maciejko (University of Alberta)
DTSTART:20201026T170000Z
DTEND:20201026T180000Z
DTSTAMP:20260423T022811Z
UID:QM3/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/20/">Hyp
 erbolic band theory</a>\nby Joseph Maciejko (University of Alberta) as par
 t of Quantum Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\nThe notions 
 of Bloch wave\, crystal momentum\, and energy bands are commonly regarded 
 as unique features of crystalline materials with commutative translation s
 ymmetries. Motivated by the recent realization of hyperbolic lattices in c
 ircuit QED\, I will present a hyperbolic generalization of Bloch theory\, 
 based on ideas from Riemann surface theory and algebraic geometry. The the
 ory is formulated despite the non-Euclidean nature of the problem and conc
 omitant absence of commutative translation symmetries. The general theory 
 will be illustrated by examples of explicit computations of hyperbolic Blo
 ch wavefunctions and bandstructures.\n
LOCATION:https://researchseminars.org/talk/QM3/20/
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