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Article Dans Une Revue Physical Review Letters Année : 2007

Exponential localization of Wannier functions in insulators

Résumé

The exponential localization of Wannier functions in two or three dimensions is proven for all insulators that display time-reversal symmetry, settling a long-standing conjecture. Our proof relies on the equivalence between the existence of analytic quasi-Bloch functions and the nullity of the Chern numbers (or of the Hall current) for the system under consideration. The same equivalence implies that Chern insulators cannot display exponentially localized Wannier functions. An explicit condition for the reality of the Wannier functions is identified.
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Dates et versions

hal-00082714 , version 1 (28-06-2006)
hal-00082714 , version 2 (07-03-2007)

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Christian Brouder, Gianluca Panati, Matteo Calandra, Christophe Mourougane, Nicola Marzari. Exponential localization of Wannier functions in insulators. Physical Review Letters, 2007, 98, pp.046402. ⟨10.1103/PhysRevLett.98.046402⟩. ⟨hal-00082714v2⟩
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