Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors

Details Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors

2005-10-27

arxiv.org/abs/cond-mat/0510744v1

Phys. Rev. B 73, 165126 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 13 figures

Scientific paper

10.1103/PhysRevB.73.165126

Using a renormalization group approach, we determine the phase diagram of an extended quasi-one-dimensional electron gas model that includes interchain hopping, nesting deviations and both intrachain and interchain repulsive interactions. d-wave superconductivity, which dominates over the spin-density-wave (SDW) phase at large nesting deviations, becomes unstable to the benefit of a triplet $f$-wave phase for a weak repulsive interchain backscattering term $g_1^\perp>0$, despite the persistence of dominant SDW correlations in the normal state. Antiferromagnetism becomes unstable against the formation of a charge-density-wave state when $g_1^\perp$ exceeds some critical value. While these features persist when both Umklapp processes and interchain forward scattering ($g_2^\perp$) are taken into account, the effect of $g_2^\perp$ alone is found to frustrate nearest-neighbor interchain $d$- and $f$-wave pairing and instead favor next-nearest-neighbor interchain singlet or triplet pairing. We argue that the close proximity of SDW and charge-density-wave phases, singlet d-wave and triplet $f$-wave superconducting phases in the theoretical phase diagram provides a possible explanation for recent puzzling experimental findings in the Bechgaard salts, including the coexistence of SDW and charge-density-wave phases and the possibility of a triplet pairing in the superconducting phase.

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