2007/02/26 by D. V. Averin, Dmitri V. Averin, James A. Nesteroff
Physics and Astronomy · #Condensed matter physics #Conductance #Coulomb #Electron #Fermi energy #Fermi level #Fermi liquid theory #Luttinger liquid #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Quasiparticle #Singularity #Topological Materials and Phenomena #Van Hove singularity #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.physe.2007.05.008
published as Physica E 40 (2007) 58-66 · 9 pages including 5 figures
arxiv created 2007/02/26 · openalex publication_date 2007/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have calculated the linear conductance associated with tunneling of individual quasiparticles of primary quantum Hall liquids with filling factors ν=1/(2m+1) through a system of two antidots in series. On-site Coulomb interaction simulates the Fermi exclusion and makes the quasiparticle dynamics similar to that of tunneling electrons. The liquid edges serve as the quasiparticle reservoirs, and also create the dissipation mechanism for tunneling between the antidots. In the regime of strong dissipation, the conductance should exhibit resonant peaks of unusual form and a width proportional to the quasiparticle interaction energy U. In the weakly-damped regime, the shape of the resonant conductance peaks reflects coherent tunnel coupling of the antidots. The Luttinger-liquid singularity in the rates of quasiparticle tunneling to/from the liquid edges manifests itself as an additional weak resonant structure in the conductance curves.