Microscopic study of the 2/5 fractional quantum Hall edge

Simple item page
dc.contributorVirginia Techen
dc.contributor.authorSreejith, G. J.en
dc.contributor.authorJolad, S.en
dc.contributor.authorSen, D.en
dc.contributor.authorJain, J. K.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-18en
dc.date.accessioned2014-02-11T13:45:59Zen
dc.date.available2014-02-11T13:45:59Zen
dc.date.issued2011-12-09en
dc.description.abstractThis paper reports on our study of the edge of the 2/5 fractional quantum Hall state, which is more complicated than the edge of the 1/3 state because of the presence of edge sectors corresponding to different partitions of composite fermions in the lowest two Lambda levels. The addition of an electron at the edge is a nonperturbative process and it is not a priori obvious in what manner the added electron distributes itself over these sectors. We show, from a microscopic calculation, that when an electron is added at the edge of the ground state in the [N-1, N-2] sector, where N-1 and N-2 are the numbers of composite fermions in the lowest two Lambda levels, the resulting state lies in either [N-1 + 1, N-2] or [N-1, N-2 + 1] sectors; adding an electron at the edge is thus equivalent to adding a composite fermion at the edge. The coupling to other sectors of the form [N-1 + 1 + k, N-2 - k], k integer, is negligible in the asymptotically low-energy limit. This study also allows a detailed comparison with the two-boson model of the 2/5 edge. We compute the spectral weights and find that while the individual spectral weights are complicated and nonuniversal, their sum is consistent with an effective two-boson description of the 2/5 edge.en
dc.description.sponsorshipDOE DE-SC0005042en
dc.description.sponsorshipNational Science Foundation NSF-DMR-0705152, 1005417en
dc.description.sponsorshipDST, India SR/S2/JCB-44/2010en
dc.identifier.citationSreejith, G. J. ; Jolad, Shivakumar ; Sen, Diptiman ; et al., Dec 9, 2011. "Microscopic study of the 2/5 fractional quantum Hall edge," PHYSICAL REVIEW B 84(24): 245104. DOI: 10.1103/PhysRevB.84.245104en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.84.245104en
dc.identifier.issn1098-0121en
dc.identifier.urihttp://hdl.handle.net/10919/25393en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevB.84.245104en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectchiral luttinger liquidsen
dc.subjectcomposite fermionsen
dc.subjectstatesen
dc.subjectsystemsen
dc.subjectexcitationsen
dc.subjectuniversalen
dc.subjectcontinuumen
dc.subjectexponenten
dc.subjectbehavioren
dc.subjectrangeen
dc.subjectPhysicsen
dc.titleMicroscopic study of the 2/5 fractional quantum Hall edgeen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PhysRevB.84.245104.pdf
Size:
724.82 KB
Format:
Adobe Portable Document Format
Description:
Main article
Download

Collections

Scholarly Works, Physics