2006/06/29 by Eldad Bettelheim, Alexander G. Abanov, P. Wiegmann +1 · 9 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #cond-mat.str-el #hep-th #nlin.SI
paper · pdf · doi:10.1103/physrevlett.97.246401
published as Phys.Rev.Lett. 97 (2006) 246401
arxiv created 2006/06/29 · openalex publication_date 2006/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the Calogero model as an example, we show that the transport in interacting nondissipative electronic systems is essentially nonlinear and unstable. Nonlinear effects are due to the curvature of the electronic spectrum near the Fermi energy. As is typical for nonlinear systems, a propagating semiclassical wave packet develops a shock wave at a finite time. A wave packet collapses into oscillatory features which further evolve into regularly structured localized pulses carrying a fractionally quantized charge. The Calogero model can be used to describe fractional quantum Hall edge states. We discuss perspectives of observation of quantum shock waves and a direct measurement of the fractional charge in fractional quantum Hall edge states.