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Advanced series in mathematical physics

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

Ferenc Woynarovich

Published May 1, 1994• 0 citations
Publisher
DOI
10.1142/9789812798268_0005

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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.

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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.