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

Research output: Contribution to journal › Article › peer-review

2638 Scopus citations

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

General Physics and Astronomy

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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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U2 - 10.1103/PhysRevLett.20.1445

DO - 10.1103/PhysRevLett.20.1445

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JO - Physical review letters

JF - Physical review letters

IS - 25

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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