Tomonaga-Luttinger Liquid Renormalized by a Single Impurity

Details Tomonaga-Luttinger Liquid Renormalized by a Single Impurity Tomonaga-Luttinger Liquid Renormalized by a Single Impurity

2008-11-20

arxiv.org/abs/0811.3314v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4pages, 2 figures

Scientific paper

10.1088/1742-6596/150/2/022031

Effects of a single impurity potential on bulk properties of a spinful Tomonaga-Luttinger (TL) liquid is studied. A boundary bosonization technique is developed to include the impurity potential of {\it arbitrary} strength $V$. Our new bosonization formula for fermion field $\psi$ smoothly connects the two existing expressions in the strong ($V = \infty$) and the weak ($V = 0$) impurity limits. With use of the formula, we found the TL parameters determined from the long-distance correlation functions are renormalized due to the partial transmission through the impurity potential.

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