Non-Linear hydrodynamics and Fractionally Quantized Solitons at Fractional Quantum Hall Edge

P. Wiegmann

Non-Linear hydrodynamics and Fractionally Quantized Solitons at Fractional Quantum Hall Edge

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arxiv 1112.0810 v2 pith:7AARANNX submitted 2011-12-04 cond-mat.mes-hall

P. Wiegmann This is my paper · ORCID

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keywords edgenon-lineardynamicsfractionalquantumsolitonsstatesfractionally

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We argue that dynamics of gapless Fractional Quantum Hall Edge states is essentially non-linear and that it features fractionally quantized solitons propagating along the edge. Observation of solitons would be a direct evidence of fractional charges. We show that the non-linear dynamics of the Laughlin's FQH state is governed by the quantum Benjamin-Ono equation. Non-linear dynamics of gapless edge states is determined by gapped modes in the bulk of FQH liquid. The dispersion of edge modes is traced to the double boundary layer of FQH states.

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