Trial wave functions for a Composite Fermi liquid on a torus
ORAL
Abstract
We study the two-dimensional electron gas in a magnetic field at filling fraction ν = 2 1 . 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 wave 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 analyze the dispersion of the composite fermions and the Berry phase associated with dragging a single fermion around the Fermi surface and comment on the implications of our results for the current debate on whether composite fermions are Dirac fermions.
*This work was supported through SFI Principal Investigator Award 12/IA/1697. We also wish to acknowledge the SFI/HEA Irish Centre for High-End Computing (ICHEC) for the provision of computational facilities and support. SHS is supported by EPSRC grants EP/I031014/1 and EP/N01930X/1.
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Presenters
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Mikael Fremling
- Department of Mathematical Physics, Maynooth University