Magnetoplasmons in two-dimensional circular sheets of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>ions

Elliott, Peter; Nazin, S. S.; Pakes, C. I.; Skrbek, L.; Vinen, W. F.; Cox, G.

doi:10.1103/physrevb.56.3447

Cited by 13 publications

(8 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There is a suggestion that in the EMP resonance experiment of 2D 4 He + ion pool trapped below a liquid-helium surface [25,26], the observed "extra satellites of unknown origin" may be the ω + mode [24]. In this respect, there is an argument about whether or not the BDW-EMP coupled mode with incompressible motion exists in classical 2D Coulomb systems.…”

Section: Discussion On Incompressible Motionmentioning

confidence: 99%

“…+ ω Against this suggestion, an argument was presented [26,27] based on an analysis comparing the amplitudes of electric field perturbation arising from boundary displacement and electron density compression. However, this analysis is questionable [24] in terms of the treatment of electron pressure.…”

Section: Discussion On Incompressible Motionmentioning

confidence: 99%

“…There has been a speculation that the "satellite mode" in Ref. 15 observed in a 2D ion pool trapped below a liquid-helium surface may be the ω + mode [13,15]; however, the speculation is still controversial [26,27] and the origin of the satellite mode is still unclear.…”

Section: Oscillation Mode Transformation Of Edge Magnetoplasmons In Tmentioning

confidence: 99%

See 2 more Smart Citations

Oscillation mode transformation of edge magnetoplasmons in two-dimensional electron system on liquid-helium surface

Yamanaka

Arai

Sawada

et al. 2013

Low Temperature Physics

View full text Add to dashboard Cite

We measured the resonance spectra of edge magnetoplasmon (EMP) oscillations in a two-dimensional (2D) electron system located on a liquid-helium surface below 1.1 K. Systematic measurements of the resonance frequency and the damping rate as a function of the lateral confinement electric field strength shows clear evidence of the oscillation mode transformation. A pronounced change corresponding to the mode transformation was observed in the damping rate. When 2D electrons are confined in a strong lateral electric field, the damping is weak. As the lateral confinement electric field is reduced below a certain threshold value, an abrupt enhancement of the damping rate is observed. We hypothesize that the weak damping mode in the strong lateral confinement electric field is the compressive density oscillation of the electrons near the edge (conventional EMP) and the strong damping mode in the weak confinement field is the coupled mode of conventional EMP and the boundary displacement wave (BDW). The observation of the strong damping in the BDW-EMP coupled mode is a manifestation of the nearly incompressible feature of strongly interacting classical electrons, which agrees with earlier theoretical predictions. PACS: 73.20.-r Electron states at surfaces and interfaces; 73.20.Mf Collective excitations (including excitons, polarons, plasmons and other charge-density excitations).

show abstract

Section: Discussion On Incompressible Motionmentioning

confidence: 99%

Section: Discussion On Incompressible Motionmentioning

confidence: 99%

See 1 more Smart Citation

Oscillation mode transformation of edge magnetoplasmons in two-dimensional electron system on liquid-helium surface

Yamanaka

Arai

Sawada

et al. 2013

Low Temperature Physics

View full text Add to dashboard Cite

show abstract

“…For the MP picture to hold we need a characteristic length scale which is independent of the geometrical definition of the mesa and which is short enough to cause a plasmon frequency in the THz regime. As reported by Elliott et al 26 edge-induced magneto plasmon resonance (EIMP) can be observed in measurements on a circular sheet of 4 He + ions, where the resonance frequency is determined by the depletion length of the electron density profile at the sample edge. The depletion length of the carrier density of our GaAs/AlGaAs heterostructure is given by 27…”

Section: Resultsmentioning

confidence: 70%

Edge-induced magnetoplasmon excitation in a two-dimensional electron gas under quantum Hall conditions

et al. 2011

View full text Add to dashboard Cite

The spectrally resolved terahertz photoconductivity between two separately contacted edgechannels of a two-dimensional electron gas in the quantum Hall regime is investigated. We use a not-simply-connected sample geometry which is topologically equivalent to a Corbino disk. Due to the high sensitivity of our sample structure, a weak resonance situated on the high-energy side of the well known cyclotron resonance is revealed. The magnetic field as well as the carrier density dependence of this weak resonance, in comparison with different models suggests that the additional resonance is an edge induced magneto plasmon.

show abstract

“…after which ω ac decreases approximately as 1/H. AEMP -excitations were discovered [3,4] in a disk of surface ions in liquid helium exactly at the stage of their frequency going through the maximum as a function of magnetic field H which substantially simplified their identification. Various attempts (listed in the recent published studies [5][6][7] on the ω ac problem) to perform similar experiments in degenerate electron systems have not yet been successful.…”

Section: Introductionmentioning

confidence: 99%

Acoustic edge magnetoplasmons and the quantum Hall effect

Shikin

Nazin

2017

Low Temperature Physics

View full text Add to dashboard Cite

Discussed in the present study are details of the behavior of low-frequency "acoustic" (ac) modes in the spectrum of edge magnetoplasma oscillations in axially symmetric degenerate 2D electron systems where electron density distribution n( r) behaves as n( r → R) → 0 when r approaches the external radius R of the domain occupied by electrons. It is shown that finding the dependence of the spectrum of ac-modes on radial (l) and azimuthal (m) indices when both l and m are small requires axially symmetric solution of the relevant problem. The desires is achieved in the so-called elliptic approximation for electron density distribution n( r). The obtained results are employed to interpret available data on the excitation of acmodes in degenerate electron disks with smooth electron density profile placed in the magnetic field H normal to the disk plane. The performed analysis confirms reported detection of the soft ac-mode in the range of H ≫ H max where H max is the field at which the maximum of the ω s lm (H) curve is observed (here and below ω s lm (H) stands for the frequency of the soft ac-mode).A strong interaction of the ac-modes with (integer)-channels inevitably arising near the boundaries of 2D electron systems with smooth electron density profile as the magnetic field is varied in the Quantum Hall Effect (QHE) regime is emphasized. Well-formed integer-stripes can suppress some acoustic modes which is actually observed in experiments.

show abstract

Magnetoplasmons in two-dimensional circular sheets of4He+ions

Cited by 13 publications

References 17 publications

Oscillation mode transformation of edge magnetoplasmons in two-dimensional electron system on liquid-helium surface

Oscillation mode transformation of edge magnetoplasmons in two-dimensional electron system on liquid-helium surface

Edge-induced magnetoplasmon excitation in a two-dimensional electron gas under quantum Hall conditions

Acoustic edge magnetoplasmons and the quantum Hall effect

Contact Info

Product

Resources

About