The Coulomb Luttinger liquid

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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

Scientific paper

10.1103/PhysRevB.64.193307

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.

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