# Compactly supported Wannier functions and strictly local projectors

@article{Sathe2020CompactlySW, title={Compactly supported Wannier functions and strictly local projectors}, author={Pratik Sathe and Fenner Harper and Rahul Roy}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2020}, volume={54} }

Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponentially localized. In some cases such as flat-band Hamiltonians, it is possible to construct Wannier functions that are even more localized, so that they are compactly supported thus having zero support outside their corresponding locations. Under what general conditions is it possible to construct compactly supported…

## 3 Citations

Noncompact atomic insulators

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We study the conditions for Bloch bands to be spanned by symmetric and strictly compact Wannier states that have zero overlap with all lattice sites beyond a certain range. Similar to the…

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We study the effect of infinitesimal onsite disorder on d-dimensional all bands flat lattices. The lattices are generated from diagonal Hamiltonians by a sequence of (d+1) local unitary…

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Being dispersionless, flat bands on periodic lattices are solely characterized by their macroscopically degenerate eigenstates: compact localized states (CLSs) in real space and Bloch states in…

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