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Phys. Rev. Lett. 82, 370–373 (1999)

Electron Localization in the Insulating State

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Raffaele Resta
Istituto Nazionale di Fisica della Materia (INFM), Strada Costiera 11, I-34014 Trieste, Italy
and Dipartimento di Fisica Teorica, Università di Trieste, I-34014 Trieste, Italy

Sandro Sorella
Istituto Nazionale di Fisica della Materia (INFM), Via Beirut 4, I-34014 Trieste, Italy
and Scuola Internazionale Superiore di Studî Avanzati (SISSA), Via Beirut 4, 34014, Trieste Italy

Received 11 August 1998; published in the issue dated 11 January 1999

The insulating state of matter is characterized by the excitation spectrum, but also by qualitative features of the electronic ground state. The insulating ground wave function in fact (i) sustains macroscopic polarization, and (ii) is localized. We give a sharp definition of the latter concept and we show how the two basic features stem from essentially the same formalism. Our approach to localization is exemplified by means of a two-band Hubbard model in one dimension. In the noninteracting limit, the wave function localization is measured by the spread of the Wannier orbitals.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.370
DOI:
10.1103/PhysRevLett.82.370
PACS:
71.10.Fd, 71.23.An