Zeeman splitting of zero-bias anomaly in Luttinger liquids

TL;DR

This paper develops a theory describing how Zeeman splitting affects the zero-bias anomaly in the tunnelling density of states of Luttinger liquids, relevant for quantum wires like carbon nanotubes.

Contribution

It provides a comprehensive analysis of the Zeeman effect on the zero-bias anomaly in Luttinger liquids across different interaction strengths.

Findings

Zeeman energy causes splitting of the zero-bias anomaly into two peaks.

The shape of the peaks depends on the electron-electron interaction strength.

Theory applicable to various quantum wire systems, including carbon nanotubes.

Abstract

Tunnelling density of states (DoS) in Luttinger liquid has a dip at zero energy, commonly known as the zero-bias anomaly (ZBA). In the presence of a magnetic field, in addition to the zero-bias anomaly, the DoS develops two peaks separated from the origin by the Zeeman energy. We find the shape of these peaks at arbitrary strength of the electron-electron interaction. The developed theory is applicable to various kinds of quantum wires, including carbon nanotubes.