Ground state properties of the degenerate Hubbard chain: 1/N-expansion of the Bethe-Ansatz solution for a lattice system

Kong Ju Bock Lee; P. Schlottmann

doi:10.1016/0921-4526(90)90223-H

Ground state properties of the degenerate Hubbard chain: 1/N-expansion of the Bethe-Ansatz solution for a lattice system

Kong Ju Bock Lee, P. Schlottmann

Department of Physics

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

8 Scopus citations

Abstract

The one-dimensional Hubbard model with arbitrary degeneracy N (N = 2S + 1, where S is the spin) is integrable if site-occupations of more than two electrons are excluded. The Bethe-ansatz equations are analyzed in the thermodynamic limit in the absence of external fields. In the large N limit they reduce to those of a hard core Bose gas. The 1/N-correction to the leading order result vanishes identically, so that the first corrections are contributions of the order 1/N².

Original language	English
Pages (from-to)	398-400
Number of pages	3
Journal	Physica B: Condensed Matter
Volume	163
Issue number	1-3
DOIs	https://doi.org/10.1016/0921-4526(90)90223-H
State	Published - Apr 1990

Bibliographical note

Funding Information:
We would like to acknowledge the support by US Department of Energy under the grant DE-FGOZ 87ER45333.

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10.1016/0921-4526(90)90223-H

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title = "Ground state properties of the degenerate Hubbard chain: 1/N-expansion of the Bethe-Ansatz solution for a lattice system",

abstract = "The one-dimensional Hubbard model with arbitrary degeneracy N (N = 2S + 1, where S is the spin) is integrable if site-occupations of more than two electrons are excluded. The Bethe-ansatz equations are analyzed in the thermodynamic limit in the absence of external fields. In the large N limit they reduce to those of a hard core Bose gas. The 1/N-correction to the leading order result vanishes identically, so that the first corrections are contributions of the order 1/N2.",

author = "Lee, \{Kong Ju Bock\} and P. Schlottmann",

note = "Funding Information: We would like to acknowledge the support by US Department of Energy under the grant DE-FGOZ 87ER45333.",

year = "1990",

month = apr,

doi = "10.1016/0921-4526(90)90223-H",

language = "English",

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pages = "398--400",

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T2 - 1/N-expansion of the Bethe-Ansatz solution for a lattice system

AU - Lee, Kong Ju Bock

AU - Schlottmann, P.

N1 - Funding Information: We would like to acknowledge the support by US Department of Energy under the grant DE-FGOZ 87ER45333.

PY - 1990/4

Y1 - 1990/4

N2 - The one-dimensional Hubbard model with arbitrary degeneracy N (N = 2S + 1, where S is the spin) is integrable if site-occupations of more than two electrons are excluded. The Bethe-ansatz equations are analyzed in the thermodynamic limit in the absence of external fields. In the large N limit they reduce to those of a hard core Bose gas. The 1/N-correction to the leading order result vanishes identically, so that the first corrections are contributions of the order 1/N2.

AB - The one-dimensional Hubbard model with arbitrary degeneracy N (N = 2S + 1, where S is the spin) is integrable if site-occupations of more than two electrons are excluded. The Bethe-ansatz equations are analyzed in the thermodynamic limit in the absence of external fields. In the large N limit they reduce to those of a hard core Bose gas. The 1/N-correction to the leading order result vanishes identically, so that the first corrections are contributions of the order 1/N2.

UR - https://www.scopus.com/pages/publications/2542565555

U2 - 10.1016/0921-4526(90)90223-H

DO - 10.1016/0921-4526(90)90223-H

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SN - 0921-4526

VL - 163

SP - 398

EP - 400

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - 1-3

ER -

Ground state properties of the degenerate Hubbard chain: 1/N-expansion of the Bethe-Ansatz solution for a lattice system

Abstract

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