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SUMMARY:Hamiltonian Theory of Fractional Chern Bands - Prof. R. Shankar\, 
 Yale University 
DTSTART:20130516T131500Z
DTEND:20130516T144500Z
UID:TALK42710@talks.cam.ac.uk
CONTACT:Gareth Conduit
DESCRIPTION:It has been known for some time that a system with a filled ba
 nd will have an integer quantum Hall conductance equal to its Chern number
 \, a topological index associated with the band. While this is true for a 
 system in a magnetic field with filled Landau Levels\, even a system in ze
 ro external field can exhibit the QHE if its band has a Chern number. I re
 view this issue and discuss a more recent question of whether a partially 
 filled Chern band can exhibit the Fractional QHE. I describe the work done
  with Ganpathy Murthy\, in which we show how composite fermions\, which we
 re so useful in explaining the usual FQHE\, can be introduced here and wit
 h equal success by adapting our Hamiltonian Theory of CFs developed for th
 e FQHE in the continuum.\n
LOCATION:Mott Seminar Room 531\, Cavendish Laboratory
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