Jeudi 23 mai 2013
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.
RECRUTEMENT ACCES DIRECT
Le département de physique
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