A theory of phonon spectroscopy in the fractional quantum Hall regime
arXiv:cond-mat/9907485 · doi:10.1103/PhysRevB.60.10984
Abstract
We describe a theoretical framework for the interpretation of time-resolved phonon absorption experiments carried out in the fractional quantum Hall regime of a magnetically quantized two-dimensional electron system (2des). The only phonons which can be absorbed at low temperature are those whose energies exceed the magnetoroton gap predicted by Girvin, MacDonald and Platzman. The rate of energy transfer from the phonons to the electron liquid is entirely controlled by the creation of these collective excitations. Using simple isotropic approximations for the phonon propagation and electron-phonon coupling we obtain analytic results for the regime in which the electron temperature and the characteristic temperature of the phonons are much less than the gap and identify the way in which the dispersion curve of the magnetorotons could be extracted from time and angle resolved experiments.
To appear in Physical Review B, 4 figures
Cited by in corpus (13)
- Magneto-roton excitation of fractional quantum Hall effect: Comparison between theory and experiment
- Phonon-Mediated Decay of Singlet-Triplet Qubits in Double Quantum Dots
- Acoustic Wave Absorption as a Probe of Dynamical Geometrical Response of Fractional Quantum Hall Liquids
- Tuning gaps and phases of a two-subband system in a quantizing magnetic field
- Two-phonon scattering of magnetorotons in fractional quantum Hall liquids
- Electron-phonon scattering at the intersection of two Landau levels
- Specific Heat of a Fractional Quantum Hall System
- Two-subband system in quantizing magnetic field: Probing many-body gap by non-equilibrium phonons
- Magnetoroton scattering by phonons in the fractional quantum Hall regime
- Phonon-assisted luminescence of magnetoexcitons in semiconductor quantum wells
- Electron-phonon interaction in a two-subband quasi-2D system in a quantizing magnetic field
- Three-point density correlation functions in the fractional quantum Hall regime
- Phonon Excitations of Composite Fermion Landau Levels