Reply to the Comment on "Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids"

TL;DR

This paper defends the original finding that the tunneling density of states in a Tomonaga-Luttinger liquid is enhanced at a defect, clarifying that the critique regarding fermion anticommutation was unfounded.

Contribution

The paper clarifies and confirms the original result on tunneling density of states enhancement, addressing and refuting the critique about fermion anticommutation considerations.

Findings

Original result on density of states enhancement is correct.

Critique regarding fermion anticommutation was unfounded.

Reproduction of the original result confirms its validity.

Abstract

In their comment Fabrizio and Gogolin dispute our result of the enhancement of the tunneling density of states in a Tomonaga-Luttinger liquid at the location of a backward scattering defect [Phys. Rev. Lett. 76, 4230(1996); cond-mat/9601020]. They state that the anticommutativity of the fermion operators of the left and right moving electrons was not considered properly in the Letter. We show in the Reply that the result of the Letter can be reproduced following the Comment when its calculations are performed correctly. This clearly indicates that the question about the anticommutation relations was raised by Fabrizio and Gogolin without serious grounds.