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![Poles of the integrand of ξ nn ′ in the 1D and 2D cases [respectively panels (a) and (b)] plotted as a function of the CLS overlap α (different colours correspond to different poles). When one of plotted functions takes values within the region highlighted in red, the corresponding pole falls within the the unit circle, i.e. inside the integration contour of the complex integral. In (b), notice that for |α| = 1/4, one of the two poles stays well inside the unit circle, corresponding to a BS with finite localization length.](profile/Enrico_Di_Benedetto2/publication/381108902/figure/fig5/AS:11431281248721225@1717386331239/Poles-of-the-integrand-of-x-nn-in-the-1D-and-2D-cases-respectively-panels-a-and-b.png)
Poles of the integrand of ξ nn ′ in the 1D and 2D cases [respectively panels (a) and (b)] plotted as a function of the CLS overlap α (different colours correspond to different poles). When one of plotted functions takes values within the region highlighted in red, the corresponding pole falls within the the unit circle, i.e. inside the integration contour of the complex integral. In (b), notice that for |α| = 1/4, one of the two poles stays well inside the unit circle, corresponding to a BS with finite localization length.
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Flat bands (FBs) are energy bands with zero group velocity, which in electronic systems were shown to favor strongly correlated phenomena. Indeed, a FB can be spanned with a basis of strictly localized states, the so called "compact localized states" (CLSs), which are yet generally non-orthogonal. Here, we study emergent dipole-dipole interactions...
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Flat bands (FBs) are energy bands with zero group velocity, which in electronic systems were shown to favor strongly correlated phenomena. Indeed, a FB can be spanned with a basis of strictly localized states, the so called compact localized states (CLSs), which are yet generally non-orthogonal. Here, we study emergent dipole-dipole interactions be...
