Flatbands under correlated perturbations.

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dc.citation.issue23
dc.citation.volume113
dc.contributor.authorBodyfelt JD
dc.contributor.authorLeykam D
dc.contributor.authorDanieli C
dc.contributor.authorYu X
dc.contributor.authorFlach S
dc.date.available2014-12-05
dc.date.issued2014-12-05
dc.description.abstractFlatband networks are characterized by the coexistence of dispersive and flatbands. Flatbands (FBs) are generated by compact localized eigenstates (CLSs) with local network symmetries, based on destructive interference. Correlated disorder and quasiperiodic potentials hybridize CLSs without additional renormalization, yet with surprising consequences: (i) states are expelled from the FB energy E_{FB}, (ii) the localization length of eigenstates vanishes as ξ∼1/ln(E-E_{FB}), (iii) the density of states diverges logarithmically (particle-hole symmetry) and algebraically (no particle-hole symmetry), and (iv) mobility edge curves show algebraic singularities at E_{FB}. Our analytical results are based on perturbative expansions of the CLSs and supported by numerical data in one and two lattice dimensions.
dc.description.publication-statusPublished
dc.format.extent? - ? (5)
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000346836400005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=c5bb3b2499afac691c2e3c1a83ef6fef
dc.identifierARTN 236403
dc.identifier.citationPHYSICAL REVIEW LETTERS, 2014, 113 (23), pp. ? - ? (5)
dc.identifier.doi10.1103/PhysRevLett.113.236403
dc.identifier.elements-id217083
dc.identifier.harvestedMassey_Dark
dc.identifier.issn0031-9007
dc.languageEnglish
dc.publisherAMER PHYSICAL SOC
dc.relation.isPartOfPHYSICAL REVIEW LETTERS
dc.subjectScience & Technology
dc.subjectPhysical Sciences
dc.subjectPhysics, Multidisciplinary
dc.subjectPhysics
dc.subjectGROUND-STATES
dc.subjectHUBBARD-MODEL
dc.subjectMOBILITY EDGE
dc.subjectLINE GRAPHS
dc.subjectLOCALIZATION
dc.subjectDISORDER
dc.subjectFERROMAGNETISM
dc.subjectPOTENTIALS
dc.subjectLATTICES
dc.subjectSYSTEMS
dc.subject.anzsrc01 Mathematical Sciences
dc.subject.anzsrc02 Physical Sciences
dc.subject.anzsrc09 Engineering
dc.titleFlatbands under correlated perturbations.
dc.typeJournal article
pubs.notesNot known
pubs.organisational-group/Massey University
pubs.organisational-group/Massey University/College of Sciences
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