Berlin 2018 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 72: Poster Session: Correlated Electrons

TT 72.21: Poster

Mittwoch, 14. März 2018, 15:00–19:00, Poster B

Non-linear integral equations for the XXX-1/2-chain with off-diagonal boundary conditions — •Dennis Wagner and Andreas Klümper — Bergische Universität Wuppertal, Wuppertal, Germany

The off-diagonal Bethe-Ansatz is a method to solve integrable models that lack U(1)-symmetry and hence do not have a reference state for the application of the coordinate or algebraic Bethe ansatz. Within this work, it is tried to use an inhomogeneous T-Q relation for the XXX-1/2-chain with off-diagonal boundary conditions as well as the fusion hierarchy to derive non-linear integral equations. For concrete tests, the system size is reduced to N=4, under the assumption, that the general procedure also holds for larger system sizes. To test the derivation of non-linear integral equations via this procedure, an inhomogeneous T-Q relation for the XXX-1/2-chain with periodic boundary conditions is investigated. Finally, for the chain with off-diagonal boundary fields a system of three non-linear integral equations is presented.