Plasmon Modes and Correlation Functions in Quantum Wires and Hall Bars
arXiv:cond-mat/9607176 · doi:10.1103/PhysRevB.54.16813
Abstract
We present microscopic derivations of the one-dimensional low-energy boson effective Hamiltonians of quantum wire and quantum Hall bar systems. The quantum Hall system is distinguished by its spatial separation of oppositely directed electrons. We discuss qualitative differences in the plasmon collective mode dispersions and the ground state correlation functions of the two systems which are consequences of this difference. The slowly-decaying quasi-solid correlations expected in a quantum wire are strongly suppressed in quantum Hall bar systems.
7 pages, RevTex, 3 figures and 1 table included; references updated and minor typos corrected
References in corpus (11)
- Wigner Crystal in One Dimension
- Sharp and Smooth Boundaries of Quantum Hall Liquids
- Composite Edge States in the Fractional Quantum Hall Regime
- Inter-Edge interaction in the Quantum Hall Effect
- Numerical Tests of the Chiral Luttinger Liquid Theory for Fractional Hall Edges
- Transport properties of a quantum wire in the presence of impurities and long-range Coulomb forces
- Luttinger States at the Edge
- Dispersion Law of Edge Waves in the Quantum Hall Effect
- Magnetic Oscillations of a Fractional Hall Dot
- The effect of inter-edge Coulomb interactions on the transport between quantum Hall edge states
- Charge Density Wave Behaviour of the Integer Quantum Hall Effect Edge States
Cited by in corpus (22)
- Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
- Tomonaga-Luttinger parameters for quantum wires
- Coupling between Edge and Bulk in Strong-Field Quantum Dots
- Quantized Dispersion of Two-Dimensional Magnetoplasmons Detected by Photoconductivity Spectroscopy
- Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
- Effect of Interactions on the Admittance of Ballistic Wires
- Conductance oscillations in strongly correlated fractional quantum Hall line junctions
- Collective Edge Excitations In The Quantum Hall Regime: Edge Helicons And Landau-level Structure
- Transmission lines and resonators based on quantum Hall plasmonics: electromagnetic field, attenuation and coupling to qubits
- Strongly Correlated Fractional Quantum Hall Line Junctions
- Observability of counterpropagating modes at fractional-quantum-Hall edges
- Random-phase Approximation Treatment Of Edge Magnetoplasmons: Edge-state Screening And Nonlocality
- Edge Magnetoplasmons in Quantum Hall Line Junction Systems
- Edge-Magnetoplasmon Wave-Packet Revivals in the Quantum Hall Effect
- No End of Tricks: Electrons in the Fractional Quantum Hall Regime
- Spin-charge separation in Quantum Hall Liquids
- Edge helicons and repulsion of fundamental edge magnetoplasmons in the quantum Hall regime
- Anomalous Exponent of the Spin Correlation Function of a Quantum Hall Edge
- Coupling between Quantum Hall Edge Channels on Opposite Sides of a Hall Bar
- Edge magnetoplasmons in a wide armchair graphene ribbon with a weak superlattice potential: finite frequency gaps and zero group velocity
- Resonant Raman scattering of quantum wire in strong magnetic field
- Elastic precession of electronic spin states in interacting integer quantum Hall edge channels