Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids

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dc.creatorBettelheim, Eldad
dc.creatorAbanov, Alexander G.
dc.creatorWiegmann, Paul
dc.date2006-06-29
dc.date.accessioned2026-07-07T07:35:52Z
dc.date.available2026-07-07T07:35:52Z
dc.descriptionUsing 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.
dc.identifierhttps://arxiv.org/abs/cond-mat/0606778
dc.identifierhttp://arxiv.org/abs/cond-mat/0606778
dc.identifierPhys.Rev.Lett. 97 (2006) 246401
dc.identifierdoi:10.1103/PhysRevLett.97.246401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120238
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleQuantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
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