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SUMMARY:Manuel Asorey (University of Zaragoza)
DTSTART:20200708T100000Z
DTEND:20200708T110000Z
DTSTAMP:20260423T021438Z
UID:QM3/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/8/">Bulk
 -Edge dualities in Topological Matter</a>\nby Manuel Asorey (University of
  Zaragoza) as part of Quantum Matter meets Maths (IST\, Lisbon)\n\n\nAbstr
 act\nNovel bulk-edge dualities have recently emerged in topological materi
 als from the observation of some phenomenological correspondences. The sim
 ilarity of these dualities with string theory dualities is very appealing 
 and has boosted a quite significant number of cross field studies.\nWe ana
 lyze the bulk-edge dualities in the integer quantum Hall effect\, where du
 e to the simpler nature of planar systems the duality can be analyzed by p
 owerful analytic techniques. The results show that the correspondence is l
 ess robust than expected. In particular\, it is highly dependent of the ty
 pe of boundary conditions of the topological material. We introduce a form
 al proof of the equivalence of bulk and edge approaches to the quantizatio
 n of Hall conductivity for metallic plates with local boundary conditions.
  However\, the proof does not work for non-local boundary conditions\, lik
 e the Atiyah-Patodi-Singer boundary conditions\, due to the appearance of 
 gaps between the bulk and edge states.\n
LOCATION:https://researchseminars.org/talk/QM3/8/
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