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Hamiltonian Theory of Fractional Chern Bands

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If you have a question about this talk, please contact Gareth Conduit .

It has been known for some time that a system with a filled band 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 zero external field can exhibit the QHE if its band has a Chern number. I review 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 were so useful in explaining the usual FQHE , can be introduced here and with equal success by adapting our Hamiltonian Theory of CFs developed for the FQHE in the continuum.

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Okinaga Room, St Edmund's College Department of Engineering, Lecture Room 0 Faculty of Education, 184 Hills Road Room GS3, Donald McIntyre Building

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