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Flatbands under Correlated Perturbations
Open accessAbstract
Flatband 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.
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Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Observation of a Localized Flat-Band State in a Photonic Lieb Lattice
Mukherjee, S., Spracklen, A., Choudhury, D., Goldman, N., Öhberg, P., Andersson, E., & Thomson, R. R. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.245504 · Cited by 666
Nearest Neighbor Tight Binding Models with an Exact Mobility Edge in One Dimension
Ganeshan, S., Pixley, J. H., & Das Sarma, S. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.146601 · Cited by 398
Metadata
- Authors
- Bodyfelt, J. D., Leykam, D., Danieli, C., Yu, X., & Flach, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-12-05
- Volume
- 113
- Issue
- 23
- Pages
- 236403-236403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2048901269
- Cited by
- 166
- References
- 1
- FWCI
- 4.49
- Type
- journal article
- Language
- en
- Open access
- green
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