Nonlinear quantum shock waves in fractional quantum hall edge states

E. Bettelheim*, Alexander G. Abanov, P. Wiegmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

74 Scopus citations


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.

Original languageAmerican English
Article number246401
JournalPhysical Review Letters
Issue number24
StatePublished - 2006
Externally publishedYes


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