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.

Electron localization in the insulating state / Resta, R.; Sorella, S. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 82:2(1999), pp. 370-373. [10.1103/PhysRevLett.82.370]

Electron localization in the insulating state

SORELLA S
1999-01-01

Abstract

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
82
2
370
373
https://doi.org/10.1103/PhysRevLett.82.370
https://arxiv.org/abs/cond-mat/9808151
Resta, R.; Sorella, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12848
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