Signatures of neutral quantum Hall modes in transport through low-density constrictions

Abstract

Constrictions in fractional quantum Hall (FQH) systems not only facilitate backscattering between counter-propagating edge modes, but also may reduce the constriction filling fraction ${\nu }_c$ with respect to the bulk filling fraction ${\nu }_b$. If both ${\nu }_b$ and ${\nu }_c$ correspond to incompressible FQH states, at least part of the constriction region is surrounded by composite edges, whose low energy dynamics is characterized by a charge mode and one or several neutral modes. In the incoherent regime, decay of neutral modes describes the equilibration of composite FQH edges, while in the limit of coherent transport, the presence of neutral modes gives rise to universal conductance fluctuations. In addition, neutral modes renormalize the strength of scattering across the constriction, and thus can determine the relative strength of forward and backwards scattering.

corrected description of the results of Ref. [10], Ref. [17] added

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2
• Line junction in a quantum Hall system with two filling fractions
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Comment on "Strongly correlated Fractional Quantum Hall line junction"
• On transport in quantum Hall systems with constrictions
• Reply to Comment on "Strongly Correlated Fractional Quantum Hall Line Junctions"

Cited by in corpus (14)

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• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Energy transport by neutral collective excitations at the quantum Hall edge
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Symmetry-related transport on a fractional quantum Hall edge
• Localization and conductance in fractional quantum Hall edges
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• Nontrivial transition of transmission in a highly open quantum point contact in the quantum Hall regime
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces