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Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids | | Eldad Bettelheim
; Alexander G. Abanov
; Paul Wiegmann
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; | | Date: |
29 Jun 2006 | | Abstract: | 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. | | Source: | arXiv, cond-mat/0606778 | | Services: | Forum | Review | PDF | Favorites | |
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