FQHE interferometers in strong tunneling regime. The role of compactness of edge fields

TL;DR

This paper develops an effective model for FQHE interferometers with multiple tunneling points, emphasizing the importance of edge field compactness in ensuring accurate local electron transport descriptions in strong tunneling regimes.

Contribution

It introduces a matrix Caldeira-Leggett model for multiple tunneling contacts in FQHE edges, highlighting the role of edge field compactness in resolving non-locality issues.

Findings

Edge field compactness eliminates non-locality in strong tunneling regimes.

Derived an effective matrix Caldeira-Leggett model for FQHE interferometers.

Shows the importance of edge field properties in electron transport.

Abstract

We consider multiple-point tunneling in the interferometers formed between edges of electron liquids with in general different filling factors in the regime of the Fractional Quantum Hall effect (FQHE). We derive an effective matrix Caldeira-Leggett models for the multiple tunneling contacts connected by the chiral single-mode FQHE edges. It is shown that the compactness of the Wen- Fr\"ohlich chiral boson fields describing the FQHE edge modes plays a crucial role in eliminating the spurious non-locality of the electron transport properties of the FQHE interferometers arising in the regime of strong tunneling.