Magnetoplasmons at Boundaries between Two-Dimensional Electron Systems

Sommerfeld, Pkh; Steijaert, PP Peter Paul; Peters, Pjm Peter; Heijden, van der Rw Rob

doi:10.1103/physrevlett.74.2559

Cited by 23 publications

(18 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The observed resonance occurs at 360 kHz. The shift is attributed to different ␣'s in case of IEMP and EMP in agreement with earlier measurements 23 (␣ IEMP р0.6␣ EMP ). The amplitude of the IEMP is smaller because the capacitive coupling to the electrodes is less effective since the IEMP is not located above the measuring electrodes.…”

Section: A Iemp Linewidths As a Function Of Temperaturesupporting

confidence: 91%

“…By applying a positive ͑or negative͒ voltage to the middle and ring electrode an electron sheet with a higher ͑or lower͒ density in the center was obtained as in Ref. 23. Typical values for the electron densities are between 0 and 2.3 ϫ10 12 m Ϫ2 for the inner electron density n 1 and 0.58 ϫ10 12 m Ϫ2 for the outer electron density n 2 .…”

Section: Experimental Techniquesmentioning

confidence: 99%

“…The IEMP is visible at 360 kHz with a smaller amplitude and a somewhat larger linewidth. In general, the dispersion relation (k) for the ͑I͒EMP's is given by 22,23 …”

Section: A Iemp Linewidths As a Function Of Temperaturementioning

confidence: 99%

“…22,23 The IEMP frequency is proportional to the difference of the Hall conductivities at either side of the boundary. The damping is determined by the average xx .…”

Section: Introductionmentioning

confidence: 99%

“…16 However, in the convenient low-frequency domain, i.e., Ӷ p , the plasma frequency, the EMP properties seem not to change at the melting transition. 18,23,24 A complication here is that the EMP is located in the region of vanishing density. 20 In low magnetic fields, where the EMP frequency is in the order of the plasma frequency, the properties of the EMP resemble the zero-field plasmon properties.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Effect of the classical electron Coulomb crystal on interedge magnetoplasmons

1998

Self Cite

View full text Add to dashboard Cite

Measurements of the linewidths of interedge magnetoplasmons are reported for electrons on liquid helium in a temperature range from 200 to 600 mK and in a magnetic field Bϭ1 T. The linewidths show an abrupt increase at a certain temperature. This temperature changes if the electron density is altered and can be related to the crystallization temperature. At the frequencies used, the effect on conventional edge magnetoplasmons is only very weak. ͓S0163-1829͑98͒05828-7͔

show abstract

Section: A Iemp Linewidths As a Function Of Temperaturesupporting

confidence: 91%

Section: Experimental Techniquesmentioning

confidence: 99%

“…The IEMP is visible at 360 kHz with a smaller amplitude and a somewhat larger linewidth. In general, the dispersion relation (k) for the ͑I͒EMP's is given by 22,23 …”

Section: A Iemp Linewidths As a Function Of Temperaturementioning

confidence: 99%

“…22,23 The IEMP frequency is proportional to the difference of the Hall conductivities at either side of the boundary. The damping is determined by the average xx .…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effect of the classical electron Coulomb crystal on interedge magnetoplasmons

1998

Self Cite

View full text Add to dashboard Cite

show abstract

Dynamics of electronic transport in the integer quantum Hall regime

Hohls

Sukhodub

Haug

2008

Physica Status Solidi (b)

View full text Add to dashboard Cite

1 The quantum Hall plateau transition The obvious and striking feature of the quantum Hall effect is the perfect quantization of the Hall resistance which is accompanied by a vanishing longitudinal resistance [1]. However, the region in between the plateaus with its nonquantized Hall resistance and its finite, peaked longitudinal resistance might be even more important for a thorough understanding of the quantum Hall effect (QHE). It was suggested that the transition between adjacent QHE states is a universal quantum phase transition [2,3]. Strictly speaking such a phase transition is a zero temperature phenomenon but as long as the quantum fluctuations dominate over the thermal ones it can also be examined at finite temperature.Near the critical point of the transition the properties of the systems are then governed by the localization length ξ of the electronic states which is equivalent to the correlation length in the usual language of quantum phase transitions. It follows a power law with critical exponent γ,Here δ ist the distance to the critical point for the parameter used to drive the transition, e.g. the electron density e n or the magnetic field B. In the following we will use the filling factor e / n h eB ν = and its distance δν to the critical point c ν as parameter. A universal quantum phase transition is marked by a universal critical exponent. In numerical investigations for non-interacting electrons Eq. (1) was confirmed and γ turned out to be insensitive to details of the device with a best value of 2 35 0 03 γ = . ± . [4][5][6]. This value seems to be stable for perturbational addition of interaction [7][8][9].Experiments cannot access directly the localization length but instead measure the resistivities ij ρ or conductivities ij σ in macroscopic devices. Near the critical point these are expected to show a scaling behaviour with sample size L in the formAn experimental size variation showed for a small number of sample sizes a scaling which is compatible with the numerical values [10].Near the quantum phase transition the system is not only characterized by a length scale ξ but also by a time scale . The most common experimental approach is the measurement of the temperature dependence of the plateau transition [13,14]. The finite temperature T introduces an efWe examine different aspects of the dynamics of electronic transport in the integer quantum Hall effect. In the first part the quantum Hall plateau transition is studied. We present experimental results which confirm a universal scaling behaviour near the critical point of this quantum phase transition between adjacent quantum Hall phases. The second part focuses on the transport properties of quantum Hall edge channels. We use selective detection of individual channels to proof the existence of an inter-edge magneto plasmon mode. Furthermore we study the equilibration between spin polarised edge channels at very high magnetic fields.

show abstract

Selective Edge Excitation — Inter-Edge Magnetoplasmon Mode and Inter-Edge Spin Diode

Hohls

Sukhodub

Haug

Advances in Solid State Physics

View full text Add to dashboard Cite

Magnetoplasmons at Boundaries between Two-Dimensional Electron Systems

Cited by 23 publications

References 31 publications

Effect of the classical electron Coulomb crystal on interedge magnetoplasmons

Effect of the classical electron Coulomb crystal on interedge magnetoplasmons

Dynamics of electronic transport in the integer quantum Hall regime

Selective Edge Excitation — Inter-Edge Magnetoplasmon Mode and Inter-Edge Spin Diode

Contact Info

Product

Resources

About