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Article Dans Une Revue Annales Henri Poincaré Année : 2019

Localised Wannier functions in metallic systems

Résumé

The existence and construction of exponentially localised Wannier functions for insulators is 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.

Dates et versions

hal-01671848 , version 1 (22-12-2017)

Identifiants

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Horia D. Cornean, David Gontier, Antoine Levitt, Domenico Monaco. Localised Wannier functions in metallic systems. Annales Henri Poincaré, 2019, 20 (4), pp.1367-1391. ⟨10.1007/s00023-019-00767-6⟩. ⟨hal-01671848⟩
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