TY - JOUR
T1 - Localised Wannier Functions in Metallic systems
AU - Cornean, Decebal Horia
AU - Gontier, David
AU - Levitt, Antoine
AU - Monaco, Domenico
PY - 2019/4/10
Y1 - 2019/4/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85060781427&partnerID=8YFLogxK
U2 - 10.1007/s00023-019-00767-6
DO - 10.1007/s00023-019-00767-6
M3 - Journal article
SN - 1424-0637
VL - 20
SP - 1367
EP - 1391
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 4
ER -