Interaction of surface acoustic waves with a two-dimensional electron gas in the presence of spin splitting of the Landau bands

Drichko, I. L.; D'Yakonov, A. M.; Smirnov, I. Yu.; Преображенский, В. В.; Toropov, A. I.

doi:10.1134/1.1187626

Cited by 6 publications

(8 citation statements)

References 16 publications

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“…with E 0,x,1 being determined by Eqs. ( 13) and (15). The validity of GLDA for r 0 < ∼ 1 is well justified if v…”

Section: Correlation Effects On the Enhanced Activation Gapmentioning

confidence: 97%

“…In the spirit of the MLDA [17], which has some similarity with the local-density approximation (LDA) [19,22], we claim that the energy dispersion relation, given by Eqs. ( 13) - (15), comes from the solution of the single-particle Schrödinger equation (for σ = 1) with the Hamiltonian ĥ = ĥ0 + V xc (y), where the self-consistent exchange-correlation potential is given as…”

Section: Correlation Effects On the Enhanced Activation Gapmentioning

confidence: 99%

“…Using this, we arrive to Eqs. ( 13) and (15), which reduces to Eq. ( 12), for r 0 ≪ 1 and 4r H 1 ln(2 √ 2/δ) ≪ 1.…”

Section: Correlation Effects On the Enhanced Activation Gapmentioning

confidence: 99%

“…[1,4,7], only the direct Hartree interaction was taken into account. Nevertheless, edge states played no fundamental role in many studies that develop or use theoretical pictures of the spin-splitting Landé g * factor enhanced by the exchange interaction [9][10][11][12][13][14][15][16]. On the other hand, in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Electron correlation effects in a wide channel from theν=1quantum Hall edge states

Balev

Studart

2001

Phys. Rev. B

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The spatial behavior of Landau levels (LLs) for the ν = 1 quantum Hall regime at the edge of a wide channel is studied in a self-consistent way by using a generalized local density approximation proposed here. Both exchange interaction and strong electron correlations, due to edge states, are taken into account. They essentially modify the spatial behavior of the occupied lowest spin-up LL in comparison with that of the lowest spin-down LL, which is totally empty. The contrast in the spatial behavior can be attributed to a different effective one-electron lateral confining potentials for the spin-split LLs. Many-body effects on the spatially inhomogeneous spin-splitting are calculated within the screened Hartree-Fock approximation. It is shown that, far from the edges, the maximum activation energy is dominated by the gap between the Fermi level and the bottom of the spin-down LL, because the gap between the Fermi level and the spin-up LL is much larger. In other words, the maximum activation energy in the bulk of the channel corresponds to a highly asymmetric position of the Fermi level within the gap between spin-down and spin-up LLs in the bulk. We have also studied the renormalization of the edge-state group velocity due to electron correlations. The results of the present theory are in line with those suggested and reported by experiments on high quality samples.PACS: 73.20.Dx, 73.40.Hm. I. INTRODUCTIONEven though most previous theoretical works have developed a noninteracting picture of the edge states in quantum Hall regime, the influence of electron-electron interactions on the edge-state properties in a channel [1-5] and on the subband structure of quantum wires [6][7][8], [4] has been the subject of intense study in the recent years. In Refs. [1,4,7], only the direct Hartree interaction was taken into account. Nevertheless, edge states played no fundamental role in many studies that develop or use theoretical pictures of the spin-splitting Landé g * factor enhanced by the exchange interaction [9][10][11][12][13][14][15][16]. On the other hand, in Ref. [17], correlation effects due to edge states on the effective g * factor for a quantum wire at the ν = 1 quantum Hall regime were considered, while for a wide channel only some qualitative estimation was given. It was shown that correlations, due to the screening at the edges, strongly suppress the exchange splitting and smoothen the energy dispersion at the edges. [17] This paper provides a step further towards the understanding of the role of electron-electron interactions in the ν = 1 quantum Hall effect regime, in particular, the very important role of edge states, by extending the approach of Ref. [17], which was based on the screened Hartree-Fock approximation (SHFA) [9,18,19]. By using the SHFA, we develop a generalized local density approximation (GLDA), which is an essential improvement of the previous modified local density approximation (MLDA) of Ref. [17]. The main objective is to determine the enhanced spinsplitting for the two-dimensional ele...

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“…with E 0,x,1 being determined by Eqs. ( 13) and (15). The validity of GLDA for r 0 < ∼ 1 is well justified if v…”

Section: Correlation Effects On the Enhanced Activation Gapmentioning

confidence: 97%

Section: Correlation Effects On the Enhanced Activation Gapmentioning

confidence: 99%

“…Using this, we arrive to Eqs. ( 13) and (15), which reduces to Eq. ( 12), for r 0 ≪ 1 and 4r H 1 ln(2 √ 2/δ) ≪ 1.…”

Section: Correlation Effects On the Enhanced Activation Gapmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electron correlation effects in a wide channel from theν=1quantum Hall edge states

Balev

Studart

2001

Phys. Rev. B

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“…In the experimental configuration of this work, the quantities Γ and ∆V /V are defined 16,17 by the formulas Γ = 8.68…”

Section: Discussion Of the Resultsmentioning

confidence: 99%

Nonlinearity of acoustic effects and high-frequency electrical conductivity in GaAs/AlGaAs heterostructures under conditions of the integer quantum Hall effect

et al. 2000

Self Cite

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The absorption coefficient for surface acoustic wave Γ and variation in the wave velocity ∆V /V were measured in GaAs/AlGaAs heterostructures; the above quantities are related to interaction of the wave with two-dimensional electron gas and depend nonlinearly on the power of the wave. Measurements were performed under conditions of the integer quantum Hall effect (IQHE), in which case the two-dimensional electron gas was localized in a random fluctuation potential of impurities. The dependences of the components σ1(E) and σ2(E) of high-frequency conductivity σ = σ1 − iσ2 on the electric field of the surface wave were determined. In the range of the conductivity obeying the Arrhenius law (σ1 ≫ σ2), the results obtained are interpreted in terms of the Shklovskii theory of nonlinear percolation-based conductivity, which makes it possible to estimate the magnitude of the fluctuation potential of impurities. The dependences σ1(E) and σ2(E) in the range of highfrequency hopping electrical conductivity, in which case (σ1 ≪ σ2) and the theory of nonlinearities has not been yet developed, are reported.

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Surface acoustic waves (SAW) interaction with 2DES at spin-splitted Landau levels

Drichko

Diakonov

Preobrazenskii

et al. 2000

Physica B: Condensed Matter

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Interaction of surface acoustic waves with a two-dimensional electron gas in the presence of spin splitting of the Landau bands

Cited by 6 publications

References 16 publications

Electron correlation effects in a wide channel from theν=1quantum Hall edge states

Electron correlation effects in a wide channel from theν=1quantum Hall edge states

Nonlinearity of acoustic effects and high-frequency electrical conductivity in GaAs/AlGaAs heterostructures under conditions of the integer quantum Hall effect

Surface acoustic waves (SAW) interaction with 2DES at spin-splitted Landau levels

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