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Title: Candidate local parent Hamiltonian for the 3/7 fractional quantum Hall effect
While a parent Hamiltonian for Laughlin wave function has been long known in terms of the Haldane pseudopotentials, no parent Hamiltonians are known for the lowest-Landau-level projected wave functions of the composite fermion theory at with . If one takes the two lowest Landau levels to be degenerate, the Trugman-Kivelson interaction produces the unprojected 2/5 wave function as the unique zero energy solution. If the lowest three Landau levels are assumed to be degenerate, the Trugman-Kivelson interaction produces a large number of zero energy states at Landau level filling of 3/7. We propose that adding an appropriately constructed three-body interaction yields the unprojected wave function as the unique zero energy solution, and report extensive exact diagonalization studies that provide strong support to this proposal.  more » « less
Award ID(s):
2037990
NSF-PAR ID:
10480472
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Physical Review B
Date Published:
Journal Name:
Physical Review B
Volume:
108
Issue:
8
ISSN:
2469-9950
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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