Orthogonality Catastrophes in Carbon Nanotubes

TL;DR

This paper reviews how strong electron-electron interactions in carbon nanotubes lead to orthogonality catastrophes, affecting transport and tunneling, and discusses the crossover between Coulomb blockade and Luttinger liquid behavior.

Contribution

It provides a comprehensive review and new insights into the crossover between Coulomb blockade and Luttinger behavior in nanotubes with orthogonality catastrophes.

Findings

Orthogonality catastrophes significantly influence nanotube transport.

Different varieties of orthogonality catastrophes are observable in experiments.

The crossover between Coulomb blockade and Luttinger behavior is characterized.

Abstract

Carbon nanotubes provide a remarkably versatile system in which to explore the effects of Coulomb interactions in one dimension. The most dramatic effects of strong electron-electron repulsion are *orthogonality catastrophes*. These orthogonality catastrophes come in different varieties, and can be observed both in low-bias transport and tunneling measurements on nanotubes. This article contains a review of previous work and new material on the crossover between Coulomb blockade and Luttinger behavior.