Phonons as collective modes: The case of a two-dimensional Wigner crystal in a strong magnetic field
- 19 November 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (21) , 2662-2665
- https://doi.org/10.1103/physrevlett.65.2662
Abstract
We present a fully-quantum-mechanical theory for the phonon modes of a two-dimensional Wigner crystal in the strong-magnetic-field limit. Our theory is based on a time-dependent Hartree-Fock approximation of the density-density response function χ, which is exact in the harmonic limit but allows for arbitrarily large anharmonicity. Our calulation is facilitated by identities, valid in the strong-magnetic-field limit, which allow χ to be expressed solely in terms of the ground-state electron density.Keywords
This publication has 19 references indexed in Scilit:
- Anomalous sound propagation at ν=1/2 in a 2D electron gas: Observation of a spontaneously broken translational symmetry?Physical Review Letters, 1990
- Termination of the series of fractional quantum hall states at small filling factorsPhysical Review B, 1988
- Evidence for the Fractional Quantum Hall State atPhysical Review Letters, 1988
- Solid versus fluid, and the interplay between fluctuations, correlations, and exchange in the fractional quantized Hall effectPhysical Review B, 1986
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- Two-Dimensional Magnetotransport in the Extreme Quantum LimitPhysical Review Letters, 1982
- Two-dimensional electron gas in a strong magnetic fieldPhysical Review B, 1979
- Some static and dynamical properties of a two-dimensional Wigner crystalPhysical Review B, 1977
- Two-dimensional wigner crystal under magnetic fieldSolid State Communications, 1975
- Towards a Quantum Many-Body Theory of Lattice Dynamics. I. Time-Dependent Hartree ApproximationPhysical Review B, 1965