Flatbands under correlated perturbations

Joshua D. Bodyfelt; Daniel Leykam; Carlo Danieli; Xiaoquan Yu; Sergej Flach

doi:10.1103/PhysRevLett.113.236403

Flatbands under correlated perturbations

Joshua D. Bodyfelt, Daniel Leykam, Carlo Danieli, Xiaoquan Yu, Sergej Flach

Research output: Contribution to journal › Article › peer-review

130 Citations (Scopus)

Abstract

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 EFB, (ii) the localization length of eigenstates vanishes as ξ∼1/ln(E-EFB), (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 EFB. Our analytical results are based on perturbative expansions of the CLSs and supported by numerical data in one and two lattice dimensions.

Original language	English
Article number	236403
Journal	Physical Review Letters
Volume	113
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.113.236403
Publication status	Published - 5 Dec 2014

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title = "Flatbands under correlated perturbations",

abstract = "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 EFB, (ii) the localization length of eigenstates vanishes as ξ∼1/ln(E-EFB), (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 EFB. 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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AU - Danieli, Carlo

AU - Yu, Xiaoquan

AU - Flach, Sergej

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N2 - 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 EFB, (ii) the localization length of eigenstates vanishes as ξ∼1/ln(E-EFB), (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 EFB. Our analytical results are based on perturbative expansions of the CLSs and supported by numerical data in one and two lattice dimensions.

AB - 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 EFB, (ii) the localization length of eigenstates vanishes as ξ∼1/ln(E-EFB), (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 EFB. 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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Flatbands under correlated perturbations

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