Pairing properties of the t-t′-t-J model

We study the pairing properties of the two-dimensional t-t '-t ''-J model, where t ' and t '' are second and third neighbor hoppings, at a doping level x approximate to 0.1. Recent studies of the t-t '-J model find strong pairing for t ' > 0, associated with electron doping, but an absence of pairing for t ' < 0, associated with hole doping. This is in contrast to the cuprates, where the highest transition temperatures appear for hole doping. Model parametrizations for the cuprates estimate a t '' comparable to t ', which, in principle, might fix this discrepancy. However, we find that it does not; we observe a suppression of pairing for the hole-doped system (t ' < 0, t '' > 0), while for the electron-doped system (t ' > 0, t '' < 0) d-wave pairing is robust. Extended hoppings appear to be insufficient to make the one-band t-t '-J model capable of describing the pairing in the hole-doped system.

Automated summary

In this study, we investigated the pairing properties of the two-dimensional t-t'-t''-J model at a doping level of x approximately 0.1. Our findings show that strong pairing occurs for electron doping when t' > 0, while pairing is absent for hole doping when t' < 0. This is different from the behavior observed in cuprates, where the highest transition temperatures are found for hole doping. Our results suggest that extended hoppings alone are insufficient to explain the pairing in the hole-doped system.