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We identify a structure in the spectra of 1d lattice models of interactingelectrons, characterised by an anomalous gapped branch of elementaryexcitations. Focusing on a family of Bethe ansatz solvable models, where allexcitations are stable against decay, we make a four-way classification of theenergy spectrum along with a model belonging to each class. We find inparticular that the anomalous excitation branch may switch between the spin andcharge symmetry sectors without a change in the ground state. Instead itchanges its nature by becoming inaccessible to the ground state.

Hidden structure in the spectra of strongly correlated electrons in 1d