Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-04-26
EPL 92, 10001 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 2 figures
Scientific paper
We solve the problem of scattering and binding of two spin-1/2 fermions on a one-dimensional superlattice with a period of twice the lattice spacing analytically. We find the exact bound states and the scattering states, consisting of a generalized Bethe ansatz augmented with an extra scattering product due to "asymptotic" degeneracy. If a Bloch band is doubly occupied, the extra wave can be a bound state in the continuum corresponding to a single-particle interband transition. In all other cases, it corresponds to a quasi-momentum changing, frustrated collision.
Kuster Matthias
Saenz Alejandro
Valiente Manuel
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