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Long-range interactions in a one-dimensional electron system

S. Bellucci
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Abstract

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction renormalization and a renormalization of the Fermi velocity. The significance of the effects depends on the filling level of the Fermi system. Despite the long-range character of the interaction, the system still falls into the Luttinger liquid universality class, since the effective couplings remain bounded at arbitrarily low energies.

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S. Bellucci. 1998-10-22. Long-range interactions in a one-dimensional electron system. https://arxiv.org/abs/hep-th/9810181

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