Localised Wannier Functions in Metallic systems

Decebal Horia Cornean, David Gontier, Antoine Levitt, Domenico Monaco

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)

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.
Original languageEnglish
JournalAnnales Henri Poincare
Volume20
Issue number4
Pages (from-to)1367-1391
Number of pages25
ISSN1424-0637
DOIs
Publication statusPublished - 10 Apr 2019

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