Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session F08: Interacting Topological Systems
8:00 AM–10:48 AM,
Tuesday, March 5, 2024
Room: L100I
Sponsoring
Unit:
DCMP
Chair: Xiao Li
Abstract: F08.00014 : Exactly solvable anyonic interferometer on a single edge of a topological liquid*
10:36 AM–10:48 AM
Presenter:
Navketan Batra
(Brown University)
Authors:
Navketan Batra
(Brown University)
Zezhu Wei
(Brown University)
Smitha Vishveshwara
(University of Illinois at Urbana-Champaign)
D. E Feldman
(Brown University)
In this talk, we introduce an alternative version of the Mach-Zehnder interferometer [1] in which the quasiparticles tunnel between co-propagating chiral channels on the edges of quantum Hall liquid at the bulk filling factors $ u= n/(2n + 1)$. Unlike the conventional Mach-Zehnder interferometers, this configuration does not require the placement of an Ohmic contact inside the device and directly parallels the optical Mach-Zehnder geometry. Remarkably, this setup admits an easy exact solution for any visibility, including the experimentally optimal regime. The simple expressions found for electric current and noise contain information about fractional charge and fractional statistics.
[1] N. Batra, Z. Wei, S. Vishveshwara, and D. E. Feldman, ArXiv:2308.05236
*NB, ZW, and DEF were supported in part by the National Science Foundation under Grant No. DMR- 2204635. The collaboration of DEF and SV was supported in part by the National Science Foundation under Grant No. PHY-1748958.
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