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SUMMARY:Quantum transport in disordered Chern insulators - Benoit Doucot (
 LPTHE\, CNRS and Sorbonne University)
DTSTART:20251030T140000Z
DTEND:20251030T153000Z
UID:TALK235585@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:The famous bulk-edge correspondence is one of the striking pro
 perties that has strongly motivated enormous interest for topological insu
 lators in the past decades. \nHowever\, in a rather surprising way\, recen
 t experiments imaging the non-equilibrium current pattern in disordered Ch
 ern insulators have shown that most of the Hall current happens to flow in
 side the bulk of the spectrum\, and not on narrow edge channels\, contrary
  to the most common expectation. \nI will present a recent attempt (in a c
 ollaboration with D. Kovrizhin and R. Moessner) to account for these strik
 ing observations\, which relies on two key ingredients: a smooth confining
  electrostatic potential and quenched disorder. Our main result is the exi
 stence of wide meandering conduction channels\, that carry the quantized H
 all current. I will then present some numerical results for a Chern insula
 tor model\, in the presence of on-site disorder and a constant electric fi
 eld\, and fully projected onto a single Chern band. Energy eigenstates exh
 ibit very broad distributions for local observables. We also observe an in
 triguing coexistence between extended energy eigenstates and sharply local
 ized states\, at all energies\, for all finite system sizes that we have b
 een able to access so far. Understanding the thermodynamic limit remains a
  challenge for theory and also for future experimental investigations aimi
 ng at probing the behavior of local observables.\n
LOCATION:Seminar Room 3\, RDC
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