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Wannier function
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====Rigorous results==== The existence of [[Exponential function|exponential]]ly localized Wannier functions in insulators was proved mathematically in 2006.<ref name=Arxiv-Localization>{{cite journal | last1=Brouder | first1=Christian | last2=Panati | first2=Gianluca | last3=Calandra | first3=Matteo | last4=Mourougane | first4=Christophe | last5=Marzari | first5=Nicola | title=Exponential Localization of Wannier Functions in Insulators | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=98 | issue=4 | date=25 January 2007 | issn=0031-9007 | doi=10.1103/physrevlett.98.046402 | page=046402| pmid=17358792 |arxiv=cond-mat/0606726| bibcode=2007PhRvL..98d6402B | s2cid=32812449 }}</ref>
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