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Special CAMP: The half-filled Landau level: the case for Dirac composite fermions

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Roger Mong, University of Pittsburgh
When
28 October 2015 from 1:00 PM to 2:00 PM
Where
339 Davey Laboratory
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Recent works have speculated on a possible particle-hole symmetric state

in the lowest Landau level at half-filling.  This talk will present

compelling numerical evidence in favour for such theory.  First, I will

present infinite-DMRG data which demonstrate the existence of a single

Fermi surface of composite fermions for realistic interactions between

electrons.  Moreover, the state is particle-hole symmetric, in contrast to

the construction of Halperin, Lee & Read.  In light of such evidence, I

will argue that the composite fermions are massless Dirac particles, at

finite density, similar to the surface state of a 3D topological

insulator.  Carry this analogy fully, I will show the suppression of 2kF

backscattering characteristic of Dirac particles.

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