Strong coupling Hubbard model and superconductivity

E.S. Caixeiro, A. Troper

Lian‐Ping Wang, Guangtian Zou, Lizhong Wang

Astrid Tranum Rømer, Thomas Maier, Andreas Kreisel +3 more

The authors present a comprehensive study of superconducting pairing in the one-band Hubbard model. By comparing different theoretical techniques, the paper shows that the hierarchy of pairing instabilities evolves smoothly from weak- to strong coupling. Additionally, the doping-dependence of the leading superconducting instability is mapped out, and found to be in agreement with previous theoretical studies of the one-band Hubbard model.

Hiroki Goto, Takashi Hotta, Yasutami Takada +3 more

Masashi Yamashiro, Eijiro Sakai, Balazs L. Gyorffy +1 more

The superconducting transition temperature is calculated on the simplest one-band Hubbard model with the negative U in the strong coupling region. Solving the selfconsistent equation for renormalization factor λ which renormalizes the effect of the interaction in all orders of U, dependence of superconducting transition temperature on interaction in the strong coupling region is obtained. Resulting behavior of the transition temperature is consistent with physical intuition. T_e decreases in proportion to t^2 / | U | and T_e → 0 at | U | → ∞.

Ravi Shankar Singh, O. Singh