The Coulomb Luttinger liquid

Abstract

The effect of long-ranged Coulomb interaction on the low energy properties (momentum distribution function, density of states, electron spectral function, and $4k_F$ correlation function) of one-dimensional electron systems is determined theoretically. Over a wide, physically relevant energy range the behavior is found to be well described by the conventional, short-ranged interacting, Luttinger liquid results, \textit{with a scale-dependent effective exponent}. An accurate empirical formula for the effective exponent is presented.

5 pages and 2 figures; submitted to Phys. Rev. Lett

Cited by in corpus (31)

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• Short-range correlations and spin-mode velocities in ultrathin one-dimensional conductors
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• Effects of energy extensivity on the quantum phases of long-range interacting systems
• Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes
• Recursive Method for the Density of States in One Dimension
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
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• Tunneling conductance of long-range Coulomb interacting Luttinger liquid
• Ground-state properties of the one dimensional electron liquid
• Current instability and diamagnetism in small-diameter carbon nanotubes
• Theory of Resonant Raman Scattering in One Dimensional Electronic systems
• Transport approach to the superconducting proximity effect in carbon nanotubes
• Correlations in interacting electron liquids: Many-body statistics and hyperuniformity
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• Comment on "Dynamic correlations of the spinless Coulomb Luttinger liquid [Phys. Rev. B {\bf 65}, 125109 (2002)]"
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