Localised Wannier Functions in Metallic Systems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

Horia D. Cornean, David Gontier, Antoine Levitt, Domenico Monaco

ABSTRACT

The existence and construction of exponentially localised Wannier functions for insulators are a well-studied problem. In comparison, the case of metallic systems has been much less explored, even though localised Wannier functions constitute an important and widely used tool for the numerical band interpolation of metallic condensed matter systems. In this paper, we prove that, under generic conditions, N energy bands of a metal can be exactly represented by N+1 Wannier functions decaying faster than any polynomial. We also show that, in general, the lack of a spectral gap does not allow for exponential decay. More... »

PAGES

1367-1391

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00023-019-00767-6

DOI

http://dx.doi.org/10.1007/s00023-019-00767-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111758306


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