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.

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Cited by in corpus (5)

• 13C NMR study of the magnetic properties of the quasi-one-dimensional conductor, (TMTTF)2SbF6
• On the Origin of the Anomalous Upper Critical Field in Quasi-One-Dimensional Superconductors
• Superconductivity without attraction in a quasi-one-dimensional metal
• Quantum Monte Carlo Study of the Quasi-One-Dimensional Superconductivity
• Different types of the dimensional crossover in the quasi-one-dimensional spinless fermion systems