Orthogonality catastrophe in a composite fermion liquid

TL;DR

This paper explores the orthogonality catastrophe in composite fermion liquids near specific filling factors, proposing a tunneling experiment and providing theoretical I-V characteristics to observe this phenomenon.

Contribution

It introduces a theoretical analysis of the orthogonality catastrophe in composite fermion liquids and predicts observable effects in tunneling experiments near a71/2ma7 filling factors.

Findings

Predicted dramatic changes in I-V characteristics near a71/2ma7 filling factors.

Calculated I-V curves for a71/3 to a71/2 transition.

Identified signatures of orthogonality catastrophe in tunneling responses.

Abstract

We discuss the emergence of an orthogonality catastrophe in the response of a composite fermion liquid as the filling factor \nu approaches 1/2m, where m=1,2,3.... A tunneling experiment is proposed in which dramatic changes in the I-V characteristic should be observable as \nu is varied. Explicit I-V characteristics calculated within the so-called Modified Random Phase Approximation, are provided for \nu=1/3 -> \nu=1/2.