Increase of Superconducting Correlation due to Dimensionality Change in Quasi-One-Dimensional Conductors

Abstract

Response functions for spin-density-wave (SDW) and d-wave singlet superconductivity ($d$SC) in quasi-one-dimensional (Q1D) electron systems are calculated by a renormalization group technique. It is shown that the response functions for both SDW, $χ_\rs$, and $d$SC, ${\chi }_d$, are enhanced by interchain hopping, $t_{\perp }$, i.e., by quasi-one dimensionality. When the Fermi surface deviates from perfect nesting, $χ_\rs$ saturates below the energy scale of imperfectness of the nesting, while ${\chi }_d$ is hardly affected. Consequently, the superconducting correlation increases even away from the SDW phase. This gives a possible interpretation of the recent experimental results of Q1D organic conductor (TMTTF)${}_2$SbF${}_6$, where $T_{\mathrm{c}}$ increases even away from the SDW phase.

References in corpus (2)

• Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
• Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems

Cited by in corpus (1)

• Quantum Monte Carlo Study of the Quasi-One-Dimensional Superconductivity