2006/04/30 by Eun-Ah Kim, Michael J. Lawler, Smitha Vishveshwara +1 · 4 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.74.155324
published as Phys. Rev. B vol 74, 155324 (2006) · 26 pages, 10 figures. A more detailed and self-contained version of Phys. Rev. Lett. vol 95, 176402 (2005), cond-mat/0507428. One reference added and the section VII revised for clarity
arxiv created 2006/08/25 · openalex publication_date 2006/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A central long standing prediction of the theory of fractional quantum Hall (FQH) states that it is a topological fluid whose elementary excitations are vortices with fractional charge and fractional statistics. Yet, the unambiguous experimental detection of this fundamental property, that the vortices have fractional statistics, has remained an open challenge. Here we propose a three-terminal ``T junction'' as an experimental setup for the direct and independent measurement of the fractional charge and statistics of fractional quantum Hall quasiparticles via cross current noise measurements. We present a nonequilibrium calculation of the quantum noise in the T-junction setup for FQH Jain states. We show that the cross current correlation (noise) can be written in a simple form, a sum of two terms, which reflects the braiding properties of the quasiparticles: the statistics dependence captured in a factor of cos\phantom\rule0.2em0ex\ensuremathθ in one of two contributions. Through analyzing these two contributions for different parameter ranges that are experimentally relevant, we demonstrate that the noise at finite temperature reveals signatures of generalized exclusion principles, fractional exchange statistics and fractional charge. We also predict that the vortices of Laughlin states exhibit a ``bunching'' effect, while higher states in the Jain sequences exhibit an ``antibunching'' effect.