Tomonaga-Luttinger Liquid Renormalized by a Single Impurity

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 $\psi$ 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.

4pages, 2 figures

References in corpus (4)

• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Tunneling in One-Dimensional non-Luttinger Electron Liquid
• Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
• Tomonaga-Luttinger model with an impurity for a weak two-body interaction