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Mueller Lecture: The composite fermion of the half-filled Landau level

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Dam Son, University of Chicago
When
11 February 2016 from 4:00 PM to 5:00 PM
Where
117 Osmond Laboratory
Contact Name
Jainendra Jain
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The composite fermion, first introduced by Jain, provides a powerful paradigm to understand the fractional quantum Hall effect. A phenomenologically successful quantum field theory of a composite fermion was constructed by Halperin, Lee and Read (HLR) to describe the dynamics of the half-filled Landau level. A long-standing problem of the HLR theory is the lack of particle-hole symmetry of the lowest Landau level. I will describe how the particle-hole symmetry took a central role in recent theoretical discussions of the fractional quantum Hall effect; in particular, how a synthesis, motivated by the physics of graphene and topological insulators, has lead to a new understanding of the low-energy quasiparticle of the half-filled Landau level.  According to the new picture, the composite fermion behaves as a Dirac particle, similarly to the electron in graphene.  Theoretical and experimental consequences of the new proposal are outlined.

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