Strong-coupling branching of FQHL edges

Abstract

We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors ${\nu }_j$ and one common single-mode edge ${\nu }_0$ of another FQHL. In the strong-tunneling limit, the model of quasiparticle backscattering is obtained by the duality transformation of the electron tunneling model. The new physics introduced by the multi-point-contact geometry of the system is coherent splitting of backscattered quasiparticles at the point contacts in the course of propagation along the common edge ${\nu }_0$. The ``branching ratios'' characterizing the splitting determine the charge and exchange statistics of the edge quasiparticles that can be different from those of Laughlin's quasiparticles in the bulk of FQHLs. Accounting for the edge statistics is essential for the system of more than one point contact and requires the proper description of the flux attachement to tunneling electrons.

arXiv comment12 pages, 2 figures

References in corpus (16)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Partition noise and statistics in the fractional quantum Hall effect
• Fermi liquid to Luttinger liquid transition at the edge of a two-dimensional electron gas
• Telegraph Noise and Fractional Statistics in the Quantum Hall Effect
• Contacts and Edge State Equilibration in the Fractional Quantum Hall Effect
• Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
• Bunching of Fractionally-Charged Quasiparticles Tunneling through High Potential Barriers
• Andreev reflection in the fractional quantum Hall effect
• Klein Factors in multiple Fractional Quantum Hall edge tunneling
• Luttinger States at the Edge
• Invariance of Charge of Laughlin Quasiparticles
• What do noise measurements reveal about fractional charge in FQH liquids?
• Quantum computation with quasiparticles of the Fractional Quantum Hall Effect
• Edge and Bulk of the Fractional Quantum Hall Liquids
• Broken symmetry, hyper-fermions, and universal conductance in transport through a fractional quantum Hall edge
• Multiple Scattering of Fractionally-Charged Quasiparticles

Cited by in corpus (11)

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• Dephasing in Mach-Zehnder interferometer by an Ohmic contact
• Tuning non-linear charge transport between integer and fractional quantum Hall states
• Equilibration between edge states in the fractional quantum Hall effect regime at high imbalances
• Antidot tunneling between Quantum Hall liquids with different filling factors
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
• Correlated transport of FQHE quasiparticles in a double-antidot system
• FQHE interferometers in strong tunneling regime. The role of compactness of edge fields