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arXiv · 0909.2095

Renormalization group study of Luttinger liquids with boundaries

S. Grap·V. Meden
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Abstract

We use Wilsons weak coupling ``momentum'' shell renormalization group method to show that two-particle interaction terms commonly neglected in bosonization of one-dimensional correlated electron systems with open boundaries are indeed irrelevant in the renormalization group sense. Our study provides a more solid ground for many investigations of Luttinger liquids with open boundaries.

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S. Grap, V. Meden. 2009-12-04. Renormalization group study of Luttinger liquids with boundaries. https://doi.org/10.1103/physrevb.80.193106

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