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Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids by Bettelheim, Eldad; Abanov, Alexander G.; Wiegmann, Paul is a scholarly article available to read on EtoBox.

What is Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids about?

Using the Calogero model as an example, we show that the transport in interacting non-dissipative electronic systems is essentially non-linear. Non-linear effects are due to the curvature of the electronic spectrum near the Fermi energy. As is typical for non-linear systems, propagating wave packets are unstable. At finite time shock wave singularities develop, the wave packet collapses, and oscillatory features arise. They evolve into regularly structured localized pulses carrying a fractionally quantized charge - {\it soliton trains}. We briefly discuss perspectives of observation of Quantum Shock Waves in edge states of Fractional Quantum Hall Effect and a direct measurement of the fractional charge.

Author

Bettelheim, Eldad; Abanov, Alexander G.; Wiegmann, Paul

Published

2006

Language

EN