Resonant Tunneling Between Quantum Hall Edge States

Abstract

Resonant tunneling between fractional quantum Hall edge states is studied in the Luttinger liquid picture. For the Laughlin parent states, the resonance line shape is a universal function whose width scales to zero at zero temperature. Extensive quantum Monte Carlo simulations are presented for $\nu =1/3$ which confirm this picture and provide a parameter-free prediction for the line shape.

14 pages , revtex , IUCM93-005

Cited by in corpus (142)

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• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Non-zero temperature transport near quantum critical points
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Interacting one dimensional electron gas with open boundaries
• Impurity scattering and transport of fractional Quantum Hall edge state
• Exact solution of a massless scalar field with a relevant boundary interaction
• Entanglement entropy in quantum impurity systems and systems with boundaries
• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• Junctions of three quantum wires
• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Integrable structure of W_3 Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory
• Critical Behavior of a Point Contact in a Quantum Spin Hall Insulator
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2
• Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration
• Modular Invariant Partition Functions in the Quantum Hall Effect
• Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size
• Non-equilibrium DC noise in a Luttinger liquid with impurity
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Stable Hierarchical Quantum Hall Fluids as W-(1 + infinity) Minimal Models
• Expectation values of boundary fields in the boundary sine-Gordon model
• A unified framework for the Kondo problem and for an impurity in a Luttinger liquid
• Form factors approach to current correlations in one dimensional systems with impurities
• Time correlations in 1D quantum impurity problems
• Junctions of one-dimensional quantum wires - correlation effects in transport
• Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
• Collective excitations at the boundary of a 4D quantum Hall droplet
• Classification of Disordered Phases of Quantum Hall Edge States
• Resonant tunneling and the multichannel Kondo problem: the quantum Brownian motion description
• Aharonov-Bohm effect in the chiral Luttinger liquid
• Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
• Impurity in a Luttinger liquid away from half-filling: a numerical study
• Scaling behavior of impurities in mesoscopic Luttinger liquids
• On nonequilibrium states in QFT model with boundary interaction
• Wigner Functions with Boundaries
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Solving 1d plasmas and 2d boundary problems using Jack polynomials and functional relations
• Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Asymptotic tunneling conductance in Luttinger liquids
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Low-temperature nonequilibrium transport in a Luttinger liquid
• Impurity in a Luttinger liquid: a numerical study of the finite size energy spectrum and of the orthogonality catastrophe exponent
• Exact Friedel oscillations in the g=1/2 Luttinger liquid
• Composite Fermions, Edge Currents and the Fractional Quantum Hall Effect
• Notes on parafermionic QFT's with boundary interaction
• Scaling of the conductance in a quantum wire
• Inter edge Tunneling in Quantum Hall Line Junctions
• Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
• Correlations in one dimensional quantum impurity problems with an external field
• Non-equilibrium transport through a point contact in the $\nu =5/2$ non-Abelian quantum Hall state
• Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids
• Dynamical simulation of transport in one-dimensional quantum wires
• Universal entanglement crossover of coupled quantum wires
• Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States
• Orthogonality catastrophe in a one-dimensional system of correlated electrons
• The effect of inter-edge Coulomb interactions on the transport between quantum Hall edge states
• Appearance of ferroelectricity in thin films of incipient ferroelectric
• Mesoscopic Effects in the Fractional Quantum Hall Regime: Chiral Luttinger versus Fermi Liquid
• Resistively shunted Josephson junctions: QFT predictions versus MC results
• Electron-phonon interactions on a single-branch quantum Hall edge
• Numerical Renormalization Group at marginal spectral density: application to quantum tunneling in Luttinger liquids
• Luttinger liquid superlattices: realization of gapless insulating phases
• Approaching Many-Body Localization from Disordered Luttinger Liquids via the Functional Renormalization Group
• Form-factors computation of Friedel oscillations in Luttinger liquids
• Edge State Tunneling in a Split Hall Bar Model
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
• Resonant tunneling in a Luttinger liquid for arbitrary barrier transmission
• Electronic Spectral Functions for Quantum Hall Edge States
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
• Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
• Edge and Bulk of the Fractional Quantum Hall Liquids
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Quantum Transport in Two-Channel Fractional Quantum Hall Edges
• Low-temperature behavior of a Magnetic Impurity in a Heisenberg Chain
• Pairing Effects in the Edge of Paired Quantum Hall States
• Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges
• Universality at work -- the local sine-Gordon model, lattice fermions, and quantum circuits
• Exact Dirac-Bogoliubov-de Gennes Dynamics for Inhomogeneous Quantum Liquids
• Modular Invariants in the Fractional Quantum Hall Effect
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Persistent Hall Voltage and Current in the Fractional Quantum Hall Regime
• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Aharonov-Bohm effect in the non-Abelian quantum Hall fluid
• Quantum impurity in a Tomonaga-Luttinger liquid: continuous-time quantum Monte Carlo approach
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Chiral Quasiparticle Tunneling Between Quantum Hall Edges in Proximity with a Superconductor
• Tunneling conductance of long-range Coulomb interacting Luttinger liquid
• Persistent edge currents for paired quantum hall states
• Persistent Edge Current In the Fractional Quantum Hall Effect
• Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
• Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation
• Spin-charge separation in Quantum Hall Liquids
• From Tomonaga-Luttinger to Fermi liquid in transport through a tunneling barrier
• Wentzel-Bardeen singularity in coupled Luttinger liquids: transport properties
• Quantum fluctuations of charge and phase transitions of a large Coulomb-blockaded quantum dot
• Tunnelling current through fractional quantum Hall interferometers
• Quantum Pump for Fractional Charge
• Mode-Locking in Quantum-Hall-Effect Point Contacts
• Scalar potential effect in an integrable Kondo model
• Quantum transport in $\nu =2/3$ spin-singlet quantum Hall edges
• Re-examination of electronic transports through a quantum wire coupled to a quantum dot
• Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
• Tunneling in Paired Fractional Quantum Hall States: Conductance and Andreev Reflection of Non-Abelions
• Orbital Kondo effect in fractional quantum Hall systems
• Tomonaga-Luttinger model with an impurity for a weak two-body interaction
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• Quasi-particle Tunneling Through a Barrier in the Fractional Quantum Hall Regime
• Theory of suppressed shot-noise at $\nu =2/(2p+\chi )$
• Temperature-dependent crossover in fractional quantum Hall edges in the presence of Coulomb interaction
• Anisotropic Transport of Quantum Hall Meron-Pair Excitations
• Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
• Healing of Defects in Random Antiferromagnetic Spin Chains
• Transport properties of a Luttinger liquid with a cluster of impurities
• Conductance of a Finite Quantum Wire Connected to Reservoirs
• Bragg resonances for tunneling between edges of a 2D Quantum Hall system
• Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit
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• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
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• One-dimensional conductance through an arbitrary potential
• Tunneling into fractional quantum Hall liquids
• Boundaries and profiles in the Wigner formalism
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• Boundary TBA Equations for a Non-diagonal Theory
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Resonant Raman scattering of quantum wire in strong magnetic field
• Fractons on the edge
• Density-density Correlation Function of Strongly Inhomogeneous Luttinger Liquids
• Entanglement flow in the Kane-Fisher quantum impurity problem
• Current and charge distributions of the fractional quantum Hall liquids with edges
• Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions
• Infrared catastrophe and tunneling into strongly correlated electron systems: Exact solution of the x-ray edge limit for the 1D electron gas and 2D Hall fluid
• Mesoscopic Effects in the Fractional Quantum Hall Regime
• Transport through a Constriction in a FQH Annulus
• Density-density correlation functions of chiral Luttinger liquids with a point-contact impurity