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Features of renormalization induced by interaction in 1D transport

Vadim Ponomarenko·Naoto Nagaosa
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Abstract

One-dimensional interacting electrons in a quantum wire connected to reservoirs are studied theoretically. The difference in the Tomonaga-Luttinger interaction constants between the wire (g) and reservoirs $(g_{\infty})$ produces the cross-correlation between the right- and left-going chiral components of the charge density wave field. The low energy asymptotics of this field correlator, which is determined by (g) and $(g_{\infty})$, specifies renormalization of physical quantities. We have found that charge of the carriers in the shot noise is determined by $g_\infty$ (no renormalization for the Fermi liquid reservoirs) at any energy, meanwhile the factor g renormalizing the charge and spin susceptibilities emerges in the threshold structures at some rational fillings.

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Vadim Ponomarenko, Naoto Nagaosa. 1999-11-07. Features of renormalization induced by interaction in 1D transport. https://arxiv.org/abs/cond-mat/9709272

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