Response Functions of Two-Coupled Chains of Tomonaga-Luttinger Liquids

Abstract

Properties of fluctuations in two chains of Tomonaga-Luttinger liquids coupled by the interchain hopping have been studied by calculating retarded response functions ${\chi }_{\rho }^R(q_x,q_y;\omega )$ for charge and $χ^R_{\p} (q_x,q_y;ω)$ for spin where $q_x$ and $q_y(=0$ or $\pi$) denote the longitudinal and transverse wave vector, respectively, and $\omega$ is the frequency. We have found the notable fact that the repulsive intrachain interaction results in the clear enhancement of ${\rm{Im}}χ^R_\p (q_x,π;ω)$ and the suppression of $\mathrm{Im}{\chi }_{\rho }^R(q_x,\pi ;\omega )$ at low energies. This result indicates the importance of the dynamical effect by the spin fluctuation with $q_y=\pi$ and small $\omega$, which has a possibility to give rise to the attractive interaction for the electron pairing.

8 pages, 5 figures, to be published in Physica C

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