New eigenstates of the 1-dimensional Hubbard model

Fabian H.L. Eßler; Vladimir E. Korepin; Kareljan Schoutens

doi:10.1016/0550-3213(92)90366-J

New eigenstates of the 1-dimensional Hubbard model

Fabian H.L. Eßler
, Vladimir E. Korepin
, Kareljan Schoutens

Institute for Theoretical Physics

Stony Brook University

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

63 Scopus citations

Abstract

Carrying out a program proposed by C.N. Yang, we prove that all "regular" (as defined in the paper) Bethe-Ansatz states of the 1-dimensional Hubbard model on a lattice of finite length L are lowest-weight vectors of an SO(4) algebra. Thus new eigenstates can be obtained by acting with the SO(4) raising operators on the Bethe-Ansatz states. In a following publication we will show that the SO(4) structure in combination with the Bethe Ansatz leads to a complete set of eigenfunctions for the 1-dimensional Hubbard model (asymptotically for large but finite lattice lengths L).

Original language	English
Pages (from-to)	559-596
Number of pages	38
Journal	Nuclear Physics, Section B
Volume	372
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(92)90366-J
State	Published - Mar 23 1992

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AU - Eßler, Fabian H.L.

AU - Korepin, Vladimir E.

AU - Schoutens, Kareljan

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N2 - Carrying out a program proposed by C.N. Yang, we prove that all "regular" (as defined in the paper) Bethe-Ansatz states of the 1-dimensional Hubbard model on a lattice of finite length L are lowest-weight vectors of an SO(4) algebra. Thus new eigenstates can be obtained by acting with the SO(4) raising operators on the Bethe-Ansatz states. In a following publication we will show that the SO(4) structure in combination with the Bethe Ansatz leads to a complete set of eigenfunctions for the 1-dimensional Hubbard model (asymptotically for large but finite lattice lengths L).

AB - Carrying out a program proposed by C.N. Yang, we prove that all "regular" (as defined in the paper) Bethe-Ansatz states of the 1-dimensional Hubbard model on a lattice of finite length L are lowest-weight vectors of an SO(4) algebra. Thus new eigenstates can be obtained by acting with the SO(4) raising operators on the Bethe-Ansatz states. In a following publication we will show that the SO(4) structure in combination with the Bethe Ansatz leads to a complete set of eigenfunctions for the 1-dimensional Hubbard model (asymptotically for large but finite lattice lengths L).

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JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

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ER -

New eigenstates of the 1-dimensional Hubbard model

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