Fremling, M. and Moran, N. and Slingerland, Joost and Simon, Steven H. (2018) Trial wave functions for a composite Fermi liquid on a torus. Physical Review B, 97 (035149). ISSN 1098-0121

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Abstract

We study the two-dimensional electron gas in a magnetic field at filling fraction ν=12. 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

Item Type:	Article
Keywords:	Composite fermions; Dirac fermions; Fractional quantum Hall effect; Exact diagonalization; Monte Carlo methods;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	10531
Identification Number:	https://doi.org/10.1103/PhysRevB.97.035149
Depositing User:	Dr. Joost Slingerland
Date Deposited:	21 Feb 2019 11:48
Journal or Publication Title:	Physical Review B
Publisher:	American Physical Society
Refereed:	Yes
URI:	https://journals.aps.org/prb
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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