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SUMMARY:Bulk-interface correspondence from quantum distance in flat band s
 ystems - Chang-geun Oh (University of Tokyo)
DTSTART:20230823T130000Z
DTEND:20230823T140000Z
UID:TALK204244@talks.cam.ac.uk
CONTACT:Bo Peng
DESCRIPTION:The bulk-boundary correspondence is an integral feature of top
 ological analysis and the existence of boundary or interface modes offers 
 direct insight into the topological structure of the Bloch wave function. 
 While only the topology of the wave function has been considered relevant 
 to boundary modes\, we demonstrate that another geometric quantity\, the s
 o-called quantum distance\, can also host a bulk-interface correspondence.
  We consider a generic class of two-dimensional flat band systems\, where 
 the flat band has a parabolic band- crossing with another dispersive band.
  While such flat bands are known to be topologically trivial\, we show tha
 t the nonzero maximum quantum distance between the eigenstates of the flat
  band around the touching point guarantees the existence of boundary modes
  at the interfaces between two domains with different chemical potentials 
 or different maximum quantum distance. Moreover\, the maximum quantum dist
 ance can predict even the explicit form of the dispersion relation and dec
 ay length of the interface modes.
LOCATION:TCM Seminar Room
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