PIRSA:12090047

Hamiltonian Theory of Fractional Chern Bands

Shankar, R. (2012). Hamiltonian Theory of Fractional Chern Bands. Perimeter Institute. https://pirsa.org/12090047

Shankar, Ramamurti. Hamiltonian Theory of Fractional Chern Bands. Perimeter Institute, Sep. 14, 2012, https://pirsa.org/12090047 

          @misc{ pirsa_PIRSA:12090047,
            doi = {10.48660/12090047},
            url = {https://pirsa.org/12090047},
            author = {Shankar, Ramamurti},
            keywords = {Mathematical physics},
            language = {en},
            title = {Hamiltonian Theory of Fractional Chern Bands},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {sep},
            note = {PIRSA:12090047 see, \url{https://pirsa.org}}
          }

Ramamurti Shankar

Yale University

Talk number
PIRSA:12090047
Collection
Talk Type
Subject
Abstract
 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 toplogical 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.