dc.contributor.author |
Kudo, Koji |
en_US |
dc.contributor.author |
Sharma, A. |
en_US |
dc.contributor.author |
SREEJITH, G. J. |
en_US |
dc.contributor.author |
Jain, J. K. |
en_US |
dc.date.accessioned |
2023-08-25T05:37:33Z |
|
dc.date.available |
2023-08-25T05:37:33Z |
|
dc.date.issued |
2023-08 |
en_US |
dc.identifier.citation |
Physical Review B, 108(03), 085130 |
en_US |
dc.identifier.issn |
2469-9969 |
en_US |
dc.identifier.issn |
2469-9950 |
en_US |
dc.identifier.uri |
https://doi.org/10.1103/PhysRevB.108.085130 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8148 |
|
dc.description.abstract |
Although a parent Hamiltonian for the Laughlin 1/3 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 n/(2n+1) with n≥2. 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 ν=3/7. We propose that adding an appropriately constructed three-body interaction yields the unprojected 3/7 wave function as the unique zero energy solution and report extensive exact diagonalization studies that provide strong support to this proposal. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
American Physical Society |
en_US |
dc.subject |
Physics |
en_US |
dc.subject |
2023-AUG-WEEK3 |
en_US |
dc.subject |
TOC-AUG-2023 |
en_US |
dc.subject |
2023 |
en_US |
dc.title |
Candidate local parent Hamiltonian for the 3/7 fractional quantum Hall effect |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Physics |
en_US |
dc.identifier.sourcetitle |
Physical Review B |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |