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Trial wave functions for a composite Fermi liquid on a torus

Abstract:
We study the two-dimensional electron gas in a magnetic field at filling fraction ν =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 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.97.035149

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Somerville College
Role:
Author

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Funding agency for:
Simon, S
Grant:
EP/I031014/1
EP/N01930X/1
More from this funder
Grant:
Principal Investigator Award 12/IA/1697

Publisher:
American Physical Society
Journal:
Physical Review B More from this journal
Volume:
97
Issue:
3
Article number:
035149
Publication date:
2018-01-22
Acceptance date:
2018-01-04
DOI:
EISSN:
2469-9969
ISSN:
2469-9950

Pubs id:
pubs:813786
UUID:
uuid:ea291277-6751-4c0d-89d1-8e1660128e22
Local pid:
pubs:813786
Source identifiers:
813786
Deposit date:
2018-01-04

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