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Flat band based multifractality in the all-band-flat diamond chain
Indian Inst Sci Educ & Res, Dept Phys, Bhopal 462066, Madhya Pradesh, India..
Christ Coll, Dept Phys, Irinjalakuda 680125, Kerala, India..
Nordita SU; Stockholm Univ, Hannes Alfvens Vag 12, SE-10691 Stockholm, Sweden.ORCID iD: 0000-0003-2160-5984
Indian Inst Sci Educ & Res, Dept Phys, Bhopal 462066, Madhya Pradesh, India..
2022 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 106, no 20, article id 205119Article in journal (Refereed) Published
Abstract [en]

We study the effect of quasiperiodic Aubry-Andre disorder on the energy spectrum and eigenstates of a one-dimensional all-band-flat (ABF) diamond chain. The ABF diamond chain possesses three dispersionless flat bands with all the eigenstates compactly localized on two unit cells in the zero disorder limit. The fate of the compact localized states in the presence of the disorder depends on the symmetry of the applied potential. We consider two cases here: a symmetric one, where the same disorder is applied to the top and bottom sites of a unit cell and an antisymmetric one, where the disorder applied to the top and bottom sites are of equal magnitude but with opposite signs. Remarkably, the symmetrically perturbed lattice preserves compact localization, although the degeneracy is lifted. When the lattice is perturbed antisymmetrically, not only is the degeneracy is lifted but compact localization is also destroyed. Fascinatingly, all eigenstates exhibit a multifractal nature below a critical strength of the applied potential. A central band of eigenstates continue to display an extended yet nonergodic behavior for arbitrarily large strengths of the potential. All other eigenstates exhibit the familiar Anderson localization above the critical potential strength. We show how the antisymmetric disordered model can be mapped to a pi /4 rotated square lattice with the nearest and selective next-nearest-neighbor hopping and a staggered magnetic field-such models have been shown to exhibit multifractality. Surprisingly, the antisymmetric disorder (with an even number of unit cells) preserves chiral symmetry-we show this by explicitly writing down the chiral operator.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2022. Vol. 106, no 20, article id 205119
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-322344DOI: 10.1103/PhysRevB.106.205119ISI: 000886085000003Scopus ID: 2-s2.0-85141918978OAI: oai:DiVA.org:kth-322344DiVA, id: diva2:1718072
Note

QC 20221212

Available from: 2022-12-12 Created: 2022-12-12 Last updated: 2023-07-24Bibliographically approved

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