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Effects of the interladder one-particle hopping, $t_{\perp}$, on thelow-energy asymptotics of a weakly coupled Hubbard ladder system have beenstudied, based on the perturbative renormalization-group approach. We foundthat for finite intraladder Hubbard repulsion, $U$, there exists a crossovervalue of the interladder one-particle hopping, $t_{\perp c}$. For$0<t_{\perp}<t_{\perp c}$, the spin gap metal (SGM) phase of the isolatedladder transits at a finite transition temperature, $T_{c}$, to the d-wavesuperconducting (SCd) phase via a two-particle crossover. In the temperatureregion, $T<T_{c}$, interladder coherent Josephson tunneling of the Cooper pairsoccurs, while the interladder coherent one-particle process is stronglysuppressed. For $t_{\perp c}<t_{\perp}$, around a crossover temperature,$T_{cross}$, the system crosses over to the two-dimensional (2D) phase via aone-particle crossover. In the temperature region, $T<T_{cross}$, theinterladdercoherent band motion occurs.Comment: 4 pages, 5 eps figures, uses jpsj.st

Spin Gap and Superconductivity in Weakly Coupled Ladders: Interladder One-Particle vs. Two-Particle Crossover