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Extended bound states of fermions on 2D square lattice beyond the nn hopping and interactions

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arxiv cond-mat/9909089 v3 pith:TGZFQDAI submitted 1999-09-06 cond-mat.supr-con cond-mat.str-el

Maciej Bak , Roman Micnas This is my paper · ORCID
classification cond-mat.supr-concond-mat.str-el
keywords boundstatesextendedhoppinginteractionslatticesquareacross
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We examine extended bound states in the dilute limit of the extended Hubbard model with next-nearest-neighbour (nnn) hopping and nnn interactions on the two dimensional square lattice. By the exact solution of a two-body problem we show that d-wave pairing is strongly favored by the nnn hopping. We determine the binding energies, mobilities and dispersion curves across Brillouin zone (B.z.) for bound states of various symmetries. The numerical analysis shows that the deep bound states can exist in the whole B.z. and we have also found s*-d mixing of the bound states.

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  1. Derivation of d-wave symmetry in real-space superconductors

    cond-mat.supr-con 2025-02 conditional novelty 2.0 of 10

    In a four-site model of real-space pairing, hole-like hopping (t>0) makes the two-hole ground state d-symmetric, implying a d-wave order parameter at low density.

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