The frequency renormalization of acoustic phonons interacting with a double-layer composite fermion system is calculated. The space distribution of the density of the charge induced by an external electrostatic potential in a double-layer composite fermion system is determined. It is shown that for a filling factor for which states with the interlayer statistical interaction and without it can be realized, the emergence of such an interaction causes a jump in the phase velocity of a finite-frequency acoustic phonon and changes the space distribution of the charge induced by the external potential. These effects can be used for observing a transition in a double-layer electron system under the conditions of the fractional quantum Hall effect to a new ground state upon a decrease in the separation between the layers.
Skip Nav Destination
Article navigation
September 1998
Letter|
September 01 1998
Renormalization of acoustic phonon spectrum and space distribution of the induced charge in a double-layer quantum Hall system
D. V. Fil
D. V. Fil
Institute of Single Crystals, National Academy of Sciences of the Ukraine, 310001 Kharkov, Ukraine
Search for other works by this author on:
D. V. Fil
Institute of Single Crystals, National Academy of Sciences of the Ukraine, 310001 Kharkov, Ukraine
Low Temp. Phys. 24, 681–684 (1998)
Citation
D. V. Fil; Renormalization of acoustic phonon spectrum and space distribution of the induced charge in a double-layer quantum Hall system. Low Temp. Phys. 1 September 1998; 24 (9): 681–684. https://doi.org/10.1063/1.593658
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Carbon footprint of helium recovery systems
A. T. Jones, R. B. E. Down, et al.
Electron irradiation of crystalline nitrous oxide ice at low temperatures: Applications to outer Solar System planetary science
Duncan V. Mifsud, Sándor Góbi, et al.
Laser-induced fluorescence spectroscopy of TIPS-pentacene
Moritz Michelbach, Alexander Demyanenko, et al.
Related Content
Screening of electrostatic potential in a composite fermion system
Low Temp. Phys. (December 1998)
Structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. Quintet state. In the two- and three-dimensional lattice
AIP Conf. Proc. (March 2024)
Interaction of a quantum Hall system with waveguide elastic modes
Low Temp. Phys. (April 1999)