Particle-hole symmetric Luttinger liquids in a quantum Hall circuit

TL;DR

This paper demonstrates the existence of particle-hole symmetric chiral Luttinger liquids at quantum Hall edges, showing how gate control influences their transmission properties and highlighting the importance of particle-hole symmetry.

Contribution

It provides experimental evidence for a new class of particle-hole symmetric chiral Luttinger liquids in quantum Hall systems, expanding understanding of edge state behaviors.

Findings

Gate biasing modulates inter-edge backscattering.

Transmission deviates from Fermi-liquid expectations.

Particle-hole symmetry governs edge state properties.

Abstract

We report current transmission data through a split-gate constriction fabricated onto a two-dimensional electron system in the integer quantum Hall (QH) regime. Split-gate biasing drives inter-edge backscattering and is shown to lead to suppressed or enhanced transmission, in marked contrast with the expected linear Fermi-liquid behavior. This evolution is described in terms of particle-hole symmetry and allows us to conclude that an unexpected class of gate-controlled particle-hole-symmetric chiral Luttinger Liquids (CLLs) can exist at the edges of our QH circuit. These results highlight the role of particle-hole symmetry on the properties of CLL edge states.