Observation of Retardation Effects in the Spectrum of Two-Dimensional Plasmons

Кукушкин, И. В.; Smet, J. H.; Mikhaǐlov, S. A.; Kulakovskii, D. V.; Klitzing, K. von; Wegscheider, Werner

doi:10.1103/physrevlett.90.156801

Cited by 136 publications

(114 citation statements)

References 21 publications

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“…We consider a 2D stripe of a finite width W and focus on the regime, where the retardation and radiative effects become important 16 (for mm-size 2D samples this corresponds to microwave frequenciesthe parameter range where very interesting microwave experiments 17,18,19,20,21,22,23,24 have been recently done). Although the stripe geometry differs from the experimental one (disks), our calculations reproduce all the experimental findings 14,15 and allow one to understand the physics of the observed effects. It will be shown that the unusual zigzag behavior of the bulk-magnetoplasmon modes (more exactly, magnetoplasmon-polaritons) is explained by an interplay of radiative and dissipative contributions to their linewidth.…”

Section: Introductionsupporting

confidence: 57%

“…As a result, the B-field dependence of the bulk magnetoplasma modes exhibited intriguing zigzag behavior as a function of magnetic field at ω > ω p 14, 15 . It was shown in 14,15 that the observed features of the magnetoplasmon spectra are due to the influence of retardation effects. At B = 0 the measured resonance frequencies turned out to be in a good quantitative agreement with Ref.…”

Section: Introductionmentioning

confidence: 99%

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Microwave response of a two-dimensional electron stripe

Mikhaǐlov

Savostianova

2005

Phys. Rev. B

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Electromagnetic response of a finite-width two-dimensional electron stripe is theoretically studied. It is shown that retardation and radiative effects substantially modify the absorption spectrum of the system at microwave frequencies, leading to a non-trivial zigzag behavior of the magnetoplasmonpolariton modes in magnetic fields, similar to that recently observed by Kukushkin et al. [Phys. Rev. Lett. 90, 156801 (2003)].

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Section: Introductionsupporting

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Microwave response of a two-dimensional electron stripe

Mikhaǐlov

Savostianova

2005

Phys. Rev. B

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“…The large retardation parameter indicates hybridization between the plasmon and photon modes. This leads to more pronounced manifestation of higher magnetoplasma harmonics, together with a reduced slope of the magnetodispersion curves that cross the cyclotron line [29][30][31]. As we will see later, this property contributes to the CR fine structure resolution.…”

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confidence: 91%

Fine structure of cyclotron resonance in a two-dimensional electron system

et al. 2016

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It is established that cyclotron resonance (CR) in a high-quality GaAs/AlGaAs two-dimensional electron system (2DES) originates as a pure resonance, that does not hybridize with dimensional magnetoplasma excitations. The magnetoplasma resonances form a fine structure of the CR. The observed fine structure of the CR results from the interplay between coherent radiative and incoherent collisional mechanisms of 2D plasma relaxation. We show that the range of 2DES filling factors from which the phenomenon arises is intimately connected to the fundamental fine-structure constant.Cyclotron resonance (CR) spectroscopy is the most direct and convenient method of characterizing the Fermi surface and determining the effective mass of semiconductors [1][2][3]. In a two-dimensional electron system (2DES), a perpendicular magnetic field quenches the inplane motion of electrons into cyclotron orbits. In turn, if the phase and polarization of the incident electromagnetic radiation are synchronized with the electron orbital motion, CR is triggered. The first observation of CR in 2DESs was reported for charged carriers in an inversion layer on Si [4, 5]. Subsequently, CR spectroscopy has been successfully applied to research on many two-dimensional systems, for example, isotropic 2D carriers in GaAs heterostructures [6][7][8], composite fermions [9], heavy fermions in MgZnO/ZnO heterojunctions [10,11], and anisotropic heavy fermions in AlAs quantum wells [12,13].It is widely believed that the cyclotron resonance originates from the dimensional magnetoplasma resonance [15,16,20]. The frequency of the hybrid cyclotron magnetoplasma mode is described by the equationwhere ω c = eB/m * c is the cyclotron frequency, and ω p is the dimensional plasmon frequency [17] (Gaussian units are used in this Letter unless otherwise stated):Here, n s and m * are the density and the effective mass of the 2D electrons, and ε is the effective permittivity of the surrounding medium. For a narrow 2DES stripe of width W , the plasmon wavevector can be approximately described by q = πN/W (N = 1, 2, . . . is the number of the plasmon harmonic).Contrary to general believe, we discovered that the CR originates as a pure resonance, that does not hybridize with dimensional magnetoplasma excitations. The CR rises as a single peak with superimposed contribution from different dimensional magnetoplasma modes. Therefore, initially the CR line shape exhibits a multipeak structure. We show that the CR fine structure is resolved when the coherent radiative 2D plasma relaxation dominates the incoherent collisional damping. In large samples, this regime appears when the 2D conductivity 2πσ xx is much larger than c. Moreover, the range of 2DES filling factors ν in which the CR fine structure necessarily arises is dictated by the relation 2πσ xy > c. The latter can be rewritten very elegantly as ν > 1/α, where α = e 2 / c ≈ 1/137 is the fundamental fine-structure constant.Experiments were performed on a set of high-quality GaAs/AlGaAs single quantum wells with a well w...

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“…Different quasiparticle and collective (plasma) properties deduced from those expressions were confirmed experimentally soon after 4 . Recent experiments measuring plasmon dispersion, retardation effects, and damping 5,6,7 unambiguously show the importance of correlations between electrons.…”

Section: Introductionmentioning

confidence: 96%

Screening in the two-dimensional electron gas with spin-orbit coupling

Pletyukhov

Gritsev

2006

Phys. Rev. B

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We study screening properties of the two-dimensional electron gas with Rashba spin-orbit coupling. Calculating the dielectric function within the random phase approximation, we describe the new features of screening induced by spin-orbit coupling, which are the extension of the region of particle-hole excitations and the spin-orbit-induced suppression of collective modes. The required polarization operator is calculated in an analytic form without any approximations. Carefully deriving its static limit, we prove the absence of a small-q anomaly at zero frequency. On the basis of our results at finite frequencies we establish the new boundaries of the particle-hole continuum and calculate the SO-induced lifetime of collective modes such as plasmons and longitudinal optical phonons. According to our estimates, these effects can be resolved in inelastic Raman scattering. We evaluate the experimentally measurable dynamic structure factor and establish the range of parameters where the described phenomena are mostly pronounced.

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Observation of Retardation Effects in the Spectrum of Two-Dimensional Plasmons

Cited by 136 publications

References 21 publications

Microwave response of a two-dimensional electron stripe

Microwave response of a two-dimensional electron stripe

Fine structure of cyclotron resonance in a two-dimensional electron system

Screening in the two-dimensional electron gas with spin-orbit coupling

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