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The gap function phi(k,omega), determined from a Lanczos calculation for adoped 2-leg t-J ladder, is used to provide insight into the spatial andtemporal structure of the pairing interaction. It implies that this interactionis a local near-neighbor coupling which is retarded. The onset frequency of theinteraction is set by the energy of an S=1 magnon-hole-pair and it is spreadout over a frequency region of order the bandwith

physical review. b, condensed matter and materials physics

Gap function<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ϕ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>for a two-leg<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mtext>−</mml:mtext><mml:mi>J</mml:mi></mml:math>ladder and the pairing interaction

Gap functionϕ(k,ω)for a two-legt−Jladder and the pairing interaction