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arXiv · 0811.3314

Tomonaga-Luttinger Liquid Renormalized by a Single Impurity

Kenji Kamide·Takashi Kimura·Susumu Kurihara
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Abstract

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 $ψ$ 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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Kenji Kamide, Takashi Kimura, Susumu Kurihara. 2008-11-20. Tomonaga-Luttinger Liquid Renormalized by a Single Impurity. https://doi.org/10.1088/1742-6596/150/2/022031

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