On the Exact Solution for a Luttinger Liquid with Repulsion and a Single Point Impurity

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Abstract

The expression for the conductance of a 1D channel, which has been obtained using the well-known exact solution, is analyzed. It is shown that in the case of strong electron—electron interaction, the slowest (linear in frequency) asymptotics of the conductance is determined by the behavior of electron—electron interaction in the region of transition from 1D to 3D motion realized near the impurity.

About the authors

V. V Afonin

Ioffe Institute, Russian Academy of Sciences

Email: vasili.afonin@mail.ioffe.ru
194021, St. Petersburg, Russia

V. Yu Petrov

Ioffe Institute

Author for correspondence.
Email: vasili.afonin@mail.ioffe.ru
194021, St. Petersburg, Russia

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