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Nonlinear Hydrodynamics and Fractionally Quantized Solitons at the Fractional Quantum Hall Edge
- Source :
- Physical Review Letters. 108
- Publication Year :
- 2012
- Publisher :
- American Physical Society (APS), 2012.
-
Abstract
- 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.<br />6 pages, 2 Figures
- Subjects :
- Physics
Condensed Matter - Mesoscale and Nanoscale Physics
FOS: Physical sciences
General Physics and Astronomy
Quantum Hall effect
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
01 natural sciences
010305 fluids & plasmas
3. Good health
Nonlinear system
Quantization (physics)
Quantum hydrodynamics
Quantum electrodynamics
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
Fractional quantum Hall effect
Quasiparticle
Soliton
010306 general physics
Quantum
Subjects
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 108
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....7d1bbd35970114eaab17b4ed24ea483d