Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions

Abstract

A junction of two 2/3 fractional quantum Hall (FQH) edges, with no charge tunneling between them, may exhibit Anderson localization of neutral modes. Manifestations of such localization in transport properties of the junction are explored. There are two competing localization channels, ``neutral-mode superconductivity'' and ``neutral-mode backscattering''. Localization in any of these channels leads to an effective theory of the junction that is characteristic for FQH effect of bosons, with a minimal integer excitation charge equal to two, and with elementary quasiparticle charge equal to 2/3. These values can be measured by studying shot noise in tunneling experiments. Under the assumption of ballistic transport in the arms connecting the junction to contacts, the two-terminal conductance of the junction is found to be 4/3 for the former localization channel and 1/3 for the latter. The four-terminal conductance matrix reveals in this regime a strong quantized drag between the edges induced by neutral-mode localization. The two localization channels lead to opposite signs of the drag conductance, equal to $\pm 1/4$, which can also be interpreted as a special type of Andreev scattering. Coherent random tunneling in arms of the device (which are segments of 2/3 edges) leads to strong mesoscopic fluctuations of the conductance matrix. In the case of fully equilibrated arms, transport via the junction is insensitive to neutral-mode localization: The two-terminal conductance is quantized to 2/3 and the drag is absent.

12 pages, 3 figures

References in corpus (38)

• Topological orders and Edge excitations in FQH states
• Observation of half-integer thermal Hall conductance
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Protected edge modes without symmetry
• Coulomb drag
• Impurity scattering and transport of fractional Quantum Hall edge state
• Observed Quantization of Anyonic Heat Flow
• Exciton Condensation and Perfect Coulomb Drag
• Observation of Quantized Hall Drag in a Strongly Correlated Bilayer Electron System
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Isolated Ballistic Non-Abelian Interface Channel
• Novel method distinguishing between competing topological orders
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Classification of Disordered Phases of Quantum Hall Edge States
• Synthesizing a Fractional v=2/3 State from Particle and Hole States
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Andreev reflection of fractional quantum Hall quasiparticles
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Robust integer and fractional helical modes in the quantum Hall effect
• Edge Probes of Topological Order
• Line junction in a quantum Hall system with two filling fractions
• Impurity effects on chiral 1D electron systems
• Transport in helical Luttinger liquids in the fractional quantum Hall regime
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Signatures of neutral quantum Hall modes in transport through low-density constrictions
• Binding Transition in Quantum Hall Edge States
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Localization and conductance in fractional quantum Hall edges
• Transport Signatures of Fractional Quantum Hall Binding Transitions

Cited by in corpus (2)

• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Phases of Quasi-One-Dimensional Fractional Quantum (Anomalous) Hall - Superconductor Heterostructures