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SUMMARY:Hall Conductance on the Half-Plane: From the Magnetic Laplacian to
  Dirac Operators
DTSTART:20260615T120000Z
DTEND:20260615T130000Z
DTSTAMP:20261013T133200Z
UID:indico-event-15582@indico.math.cnrs.fr
DESCRIPTION:Speakers: Loïc Le Treust (Marseille)\n\nIn this talk\, we stu
 dy the Hall conductance for the magnetic Laplacian and the massless Dirac 
 operator defined on a half-plane. Using the analysis of energy dispersion 
 curves\, we compute macroscopic edge\ncurrents. We then explore the behavi
 or of these edge states with respect to continuous variations of local bou
 ndary conditions. For the Dirac operator\, we specifically focus on bounda
 ry conditions interpolating between the infinite mass and zigzag types. By
  tracking\nthe deformation of the dispersion profile\, we discuss the topo
 logical stability of the conductance and demonstrate that the bulk-edge co
 rrespondence does not always hold true in the zigzag limit.\n\n\nhttps://i
 ndico.math.cnrs.fr/event/15582/
LOCATION:Salle Pellos (1R2-207)
URL:https://indico.math.cnrs.fr/event/15582/
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