Symmetry-related transport on a fractional quantum Hall edge - Kölner UniversitätsPublikationsServer

Park, Jinhong ORCID: 0000-0001-6710-1031, Rosenow, Bernd and Gefen, Yuval (2021). Symmetry-related transport on a fractional quantum Hall edge. Phys. Rev. Res., 3 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564

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DOI:10.1103/PhysRevResearch.3.023083

Abstract

Low-energy transport in quantum Hall states is carried through edge modes and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here, we show how the presence or breaking of symmetries of the edge Hamiltonian underlie transport properties, specifically dc conductance and noise. We demonstrate this through the analysis of hole-conjugate states of the quantum Hall effect, specifically the nu = 2/3 case in a quantum point-contact geometry. We identify two symmetries, a continuous SU(3) symmetry and a discrete Z(3) symmetry, whose presence or absence (different symmetry scenarios) dictate qualitatively different types of behavior of conductance and shot noise. While recent measurements are consistent with one of these symmetry scenarios, others can be realized in future experiments.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Park, Jinhong	UNSPECIFIED	orcid.org/0000-0001-6710-1031	UNSPECIFIED
Rosenow, Bernd	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Gefen, Yuval	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED