Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems

Abstract

The role of interchain hopping in quasi-one-dimensional (Q-1D) electron systems is investigated by extending the Kadanoff-Wilson renormalization group of one-dimensional (1D) systems to Q-1D systems. This scheme is applied to the extended Hubbard model to calculate the temperature ($T$) dependence of the magnetic susceptibility, $\chi (T)$. The calculation is performed by taking into account not only the logarithmic Cooper and Peierls channels, but also the non-logarithmic Landau and finite momentum Cooper channels, which give relevant contributions to the uniform response at finite temperatures. It is shown that the interchain hopping, $t_{\perp }$, reduces $\chi (T)$ at low temperatures, while it enhances $\chi (T)$ at high temperatures. This notable $t_{\perp }$ dependence is ascribed to the fact that $t_{\perp }$ enhances the antiferromagnetic spin fluctuation at low temperatures, while it suppresses the 1D fluctuation at high temperatures. The result is at variance with the random-phase-approximation approach, which predicts an enhancement of $\chi (T)$ by $t_{\perp }$ over the whole temperature range. The influence of both the long-range repulsion and the nesting deviations on $\chi (T)$ is further investigated. We discuss the present results in connection with the data of $\chi (T)$ in the (TMTTF)${}_{2}X$ and (TMTSF)${}_{2}X$ series of Q-1D organic conductors, and propose a theoretical prediction for the effect of pressure on magnetic susceptibility.

17 pages, 19figures

References in corpus (2)

• Tomonaga-Luttinger parameters for doped Mott insulators
• Triplet superconducting pairing and density-wave instabilities in organic conductors

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