Transport in a disordered $\nu =2/3$ fractional quantum Hall junction

Abstract

Electric and thermal transport properties of a $\nu =2/3$ fractional quantum Hall junction are analyzed. We investigate the evolution of the electric and thermal two-terminal conductances, $G$ and $G^Q$, with system size $L$ and temperature $T$. This is done both for the case of strong interaction between the 1 and 1/ 3 modes (when the low-temperature physics of the interacting segment of the device is controlled by the vicinity of the strong-disorder Kane-Fisher-Polchinski fixed point) and for relatively weak interaction, for which the disorder is irrelevant at $T=0$ in the renormalization-group sense. The transport properties in both cases are similar in several respects. In particular, $G(L)$ is close to 4/3 (in units of $e^2/h$) and $G^Q$ to 2 (in units of $\pi T/6\hslash$) for small $L$, independently of the interaction strength. For large $L$ the system is in an incoherent regime, with $G$ given by 2/3 and $G^Q$ showing the Ohmic scaling, $G^Q\propto 1/L$, again for any interaction strength. The hallmark of the strong-disorder fixed point is the emergence of an intermediate range of $L$, in which the electric conductance shows strong mesoscopic fluctuations and the thermal conductance is $G^Q=1$. The analysis is extended also to a device with floating 1/3 mode, as studied in a recent experiment [A. Grivnin et al, Phys. Rev. Lett. 113, 266803 (2014)].

arXiv comment14 Figures, detailed presentation in Annals of Physics style

References in corpus (34)

• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Observation of neutral modes in the fractional quantum Hall regime
• Impurity scattering and transport of fractional Quantum Hall edge state
• Observed Quantization of Anyonic Heat Flow
• Resonant Tunneling Between Quantum Hall Edge States
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Proliferation of neutral modes in fractional quantum Hall states
• Anomalous Thermal Transport in Quantum Wires
• Composite Edge States in the $\nu =2/3$ Fractional Quantum Hall Regime
• Dephasing and weak localization in disordered Luttinger liquid
• Contacts and Edge State Equilibration in the Fractional Quantum Hall Effect
• Energy transport in the Anderson insulator
• Classification of Disordered Phases of Quantum Hall Edge States
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Charge tunneling in fractional edge channels
• Critical points in edge tunneling between generic FQH states
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Quantum Hall Bilayers and the Chiral Sine-Gordon Equation
• Line junction in a quantum Hall system with two filling fractions
• Impurity effects on chiral 1D electron systems
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Signatures of neutral quantum Hall modes in transport through low-density constrictions
• Strongly Correlated Fractional Quantum Hall Line Junctions
• Broken symmetry, hyper-fermions, and universal conductance in transport through a fractional quantum Hall edge
• Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges

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• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Fractional Edge Reconstruction in Integer Quantum Hall Phases
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Andreev reflection of fractional quantum Hall quasiparticles
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device
• Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Measurement and control of a Coulomb-blockaded parafermion box
• Parafermionic generalization of the topological Kondo effect
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Composite helical edges from Abelian fractional topological insulators
• Symmetry-related transport on a fractional quantum Hall edge
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Localization and conductance in fractional quantum Hall edges
• Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
• Plasmon modes of coupled quantum Hall edge channels in the presence of disorder-induced tunneling
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Two-component parton fractional quantum Hall state in graphene
• Landscapes of an out-of-equilibrium anyonic sea
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Kinetic processes in Fermi-Luttinger liquids
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Ballistic-to-diffusive transition in engineered counter-propagating quantum Hall channels
• Dc Electrical Current Generated by Upstream Neutral Modes
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Transmission line approach to transport of heat in chiral systems with dissipation
• Superconductivity of neutral modes in quantum Hall edges
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges