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CAMP Seminar: Trial wave functions for a Composite Fermi liquid on a torus

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Mikael Fremling, Maynooth University
When
03 October 2017 from 3:30 PM to 4:30 PM
Where
339 Davey Laboratory
Contact Name
Jainendra Jain
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We study the two-dimensional electron gas in a magnetic field at
filling fraction $\nu=\frac{1}{2}$. At this filling the system is in a
gapless state which can be interpreted as a Fermi liquid of composite
fermions. We construct trial wave functions for the system on a torus,
based on this idea, and numerically compare these to exact wavwe
functions for small systems found by exact diagonalization. We find
that the trial wave functions give an excellent description of the
ground state of the system, as well as its charged excitations, in all
momentum sectors. We analyse the dispersion of the composite fermions
and the Berry phase associated with dragging a single fermion wave
function around the Fermi surface and comment on the implications of
our results for the current debate on whether composite fermions are
Dirac fermions.

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