Enhancement of the tunneling density of states in Tomonaga--Luttinger Liquids

TL;DR

This paper investigates how backward scattering defects and electron interactions in quantum wires and quantum Hall edge states lead to a significant increase in the tunneling density of states, revealing complex many-body effects.

Contribution

It provides a theoretical calculation showing the enhancement of the tunneling density of states due to combined backward scattering and electron interactions in Tomonaga--Luttinger liquids.

Findings

Singular enhancement of the DOS near defects.

Effect observed in quantum wires and quantum Hall edge states.

Highlights the role of electron-electron interactions in tunneling phenomena.

Abstract

We have calculated the tunneling density of states (DOS) at the location of a backward scattering defect for quantum wires and for edge state electrons in quantum Hall systems. A singular enhancement of the DOS arises as a result of the combined effect of multiple backward scattering together with a repulsive electron---electron interaction.