Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Advanced series in mathematical physics

Excitations with complex wavenumbers in a Hubbard chain I: States with one pair of complex wavenumbers

Ferenc Woynarovich

Published May 1, 1994• 1 citation
Publisher
DOI
10.1142/9789812798268_0004

Related papers

Excitations with complex wavenumbers in a Hubbard chain II: States with several pairse of complex wavenumbers

Ferenc Woynarovich

Advanced series in mathematical physics•May 1, 1994•0 citations

Excitations with complex wavenumbers in a Hubbard chain. I. States with one pair of complex wavenumbers

Ferenc Woynarovich

Those excited states of a half-filled 1D Hubbard chain that are connected with electron pairs occupying the same site are studied. It is argued that these states should be described by solutions of the Lieb-Wu equations (1968) in which some of the wavenumbers are complex. Solutions of this type have been found that correspond to states in which the spin part is not excited. The energy-momentum dispersion is also calculated. The gap in the spectrum of the single excitations equals the discontinuity of the chemical potential calculated by Lieb and Wu.

Journal of Physics C Solid State Physics•Jan 10, 1982•132 citations

Excitation spectra of strong coupling Hubbard Hamiltonian

T.K. Lee, Wolfgang von der Linden, Peter Horsch

Physica C Superconductivity•Jun 1, 1988•1 citation

Excitations with complex wavenumbers in a Hubbard chain. II. States with several pairs of complex wavenumbers

Ferenc Woynarovich

For pt.I see ibid., vol.15, no.1, p.85 (1982). States of the 1D Hubbard chain with several pairs of complex wavenumbers are studied. The original set of Lieb-Wu equations (1968) is replaced by an equivalent set in which only real wavenumbers appear. These equations are reduced for the states in which the spin degrees of freedom are not excited. The energy-momentum dispersion for these states is also found.

Journal of Physics C Solid State Physics•Jan 10, 1982•64 citations

Excitations in the One-dimensional Hubbard Model

G. Uimin, С. В. Фомичев

Journal of Experimental and Theoretical Physics•Jan 1, 1973•0 citations

EXCITATION SPECTRUM IN THE ONE-DIMENSIONAL HUBBARD MODEL

А. А. Овчинников

Advanced series in mathematical physics•May 1, 1994•8 citations
Those excited states of a half-filled 1D Hubbard chain that are connected with electron pairs occupying the same site are studied. It is argued that these states should be described by solutions of the Lieb-Wu equations (1968) in which some of the wavenumbers are complex. Solutions of this type have been found that correspond to states in which the spin part is not excited. The energy-momentum dispersion is also calculated. The gap in the spectrum of the single excitations equals the discontinuity of the chemical potential calculated by Lieb and Wu.