Electron-pairing in the quantum Hall regime due to neutralon exchange
arXiv:2007.00551 · doi:10.1103/PhysRevResearch.2.043396
Abstract
The behavior of electrons in condensed matter systems is mostly determined by the repulsive Coulomb interaction. However, under special circumstances the Coulomb interaction can be effectively attractive, giving rise to electron pairing in unconventional superconductors and specifically designed mesoscopic setups. In quantum Hall systems electron interactions can play a particularly important role due to the huge degeneracy of Landau levels, leading for instance to the emergence of quasi-particles with fractional charge and anyonic statistics. Quantum Hall Fabry-Pérot (FPI) interferometers have attracted increasing attention due to their ability to probe such exotic physics. In addition, such interferometers are affected by electron interactions themselves in interesting ways. Recently, experimental evidence for electron pairing in a quantum Hall FPI was found (H.K. Choi et al., Nat. Comm 6, 7435 (2015)) . Theoretically describing an FPI in the limit of strong backscattering and under the influence of a screened Coulomb interaction, we compute electron shot noise and indeed find a two-fold enhanced Fano factor for some parameters, indicative of electron pairing. This result is explained in terms of an electron interaction due to exchange of neutral inter-edge plasmons, so-called neutralons.
arXiv comment14+4 pages. 14+4 figures
References in corpus (37)
- Non-Abelian Anyons and Topological Quantum Computation
- Shot Noise in Mesoscopic Conductors
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Anyons and the quantum Hall effect - a pedagogical review
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
- Theory of the Fabry-Perot Quantum Hall Interferometer
- The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
- Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
- Shot Noise in Graphene
- Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
- Enhanced shot noise in resonant tunnelling via interacting localised states
- Aharonov-Bohm interference of fractional quantum Hall edge modes
- Electron Attraction Mediated by Coulomb Repulsion
- Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
- Aharonov-Bohm electron interferometer in the integer quantum Hall regime
- The Evolution of Quasiparticle Charge in the Fractional Quantum Hall Regime
- Robust Electron Pairing in the Integer Quantum Hall Effect Regime
- Aharonov-Bohm effect in the chiral Luttinger liquid
- Quantum transport in electron Fabry-Perot interferometers
- Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
- Two-electron state in a disordered 2D island: pairing caused by the Coulomb repulsion
- Observation of Interaction-Induced Modulations of a Quantum Hall Liquid's Area
- Interaction-induced interference in the integer quantum Hall effect
- Current noise from a magnetic moment in a helical edge
- Enhanced shot noise in asymmetric interacting two level systems
- Observation of quantum Hall interferometer phase jumps due to changing quasiparticle number
- Attractive Coulomb interactions in a triple quantum dot
- Non-equilibrium Plasmons in a Quantum Wire Single Electron Transistor
- Influence of Coulomb interaction on the Aharonov-Bohm effect in an electronic Fabry-Perot interferometer
- Cyclic Depopulation of Edge States in a large Quantum Dot
- Unrestricted electron bunching at the helical edge
- Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
- Subperiods and apparent pairing in integer quantum Hall interferometers
- Coulomb blockade with neutral modes
- Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
- Nonequilibrium plasmons and transport properties of a double--junction quantum wire
Cited by in corpus (5)
- Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
- Anyons in Quantum Hall Interferometry
- Electron Pairing of Interfering Interface-Based Edge Modes
- Evidence for correlated electron pairs and triplets in quantum Hall interferometers
- Anomalous Aharonov-Bohm Interference in the Presence of Edge Reconstruction