Absence of mott transition in an exact solution of the short-range, one-band model in one dimension

Elliott H. Lieb; F. Y. Wu

doi:10.1103/PhysRevLett.20.1445

Absence of mott transition in an exact solution of the short-range, one-band model in one dimension

Elliott H. Lieb, F. Y. Wu

Mathematics

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Abstract

The short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case. The ground-state energy, wave function, and the chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.

Original language	English (US)
Pages (from-to)	1445-1448
Number of pages	4
Journal	Physical review letters
Volume	20
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.20.1445
State	Published - 1968

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1103/PhysRevLett.20.1445

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title = "Absence of mott transition in an exact solution of the short-range, one-band model in one dimension",

abstract = "The short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case. The ground-state energy, wave function, and the chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.",

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year = "1968",

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AB - The short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case. The ground-state energy, wave function, and the chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.

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Absence of mott transition in an exact solution of the short-range, one-band model in one dimension

Abstract

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