Direct magneto-optical observation of a quantum confined one-dimensional electron gas

Plaut, A. S.; Lage, H.; Grambow, P.; Heitmann, D.; Klitzing, K. von; Ploog, K.

doi:10.1103/physrevlett.67.1642

Cited by 105 publications

(27 citation statements)

References 18 publications

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“…This screening would reduce the range of the interactions, resulting in an effective intrawell interaction V eff (q) which is finite as q → 0. The effective interaction for interaction for a wire screened by mobile carriers in an adjacent wire, for experimental parameters given in references [4], is on the order of g = 7.5, which gives α = 0.15 (see Appendix E).…”

Section: Impurity Effects On the Bare Green Functionmentioning

confidence: 99%

“…These systems are usually fabricated on high-quality twodimensional electron systems by confining the electrons in one of the remaining free directions through ultrafine nanolithographic patterning. [2,3,4,5,6] In addition, other methods for fabricating wires, such as growth of wires on tilted superlattices and vicinal substrates [7] have also been reported. These developments have opened up possibilities for novel and exciting experiments, and stimulated considerable theoretical activity.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, quantum wires have been fabricated [4,5,6] in which the one-dimensional quantum limit has been attained, in the sense that only one quantum subband is populated by the electrons in the quantum wire, so that a one-dimensional interacting Fermi gas model is valid. Contrary to what one might expect based on the well-established theoretical results, the experimental data obtained from these experiments on these structures, such as Raman scattering and photoluminescence, can be successfully explained on the basis of standard Fermi liquid theory.…”

Section: Introductionmentioning

confidence: 99%

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Many-body exchange-correlation effects in the lowest subband of semiconductor quantum wires

1993

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We consider theoretically the electron-electron interaction induced exchangecorrelation effects in the lowest subband of a quasi-one-dimensional GaAs quantum wire structures. We calculate, within the leading order dynamical screening approximation (i.e. the so-called GW approximation of the electron gas theory), the electron self-energy, spectral function, momentum distribution function, inelastic scattering rate, band gap renormalization, and, the many-body renormalization factor both at zero and finite temperatures, and, both with and without impurity scattering effects.We also calculate the effects of finite temperatures and finite impurity scattering on the many-body properties. We propose the possibility of a hot-electron transistor device with a large negative differential resistance which is based on the sudden onset of plasmon emission by energetic ballistic electrons in one dimension. The issue of the existence or non-existence of the Fermi surface among the interacting onedimensional quantum wire electrons is critically discussed based on our numerical results.

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Section: Impurity Effects On the Bare Green Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Many-body exchange-correlation effects in the lowest subband of semiconductor quantum wires

1993

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“…During the past decades the development of the epitaxial crystal growth techniques such as molecular beam epitaxy and metal-organic chemical vapor deposition has made the growth of the quasi-two-dimensional (quantum well) or quasi-one-dimensional (quantum wire) [1,2,3,4] systems with controllable well thickness or wire radius became possible.…”

Section: Introductionmentioning

confidence: 99%

Effect of electron–phonon interaction on the impurity binding energy in a quantum wire

Chuu

Chen

Lin

2000

Physica B: Condensed Matter

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The effect of electron-optical phonon interaction on the hydrogenic impurity binding energy in a cylindrical quantum wire is studied. By using Landau and Pekar variational method, the hamiltonian is separated into two parts which contain phonon variable and electron variable respectively. A perturbative-variational technique is then employed to construct the trial wavefunction for the electron part. The effect of confined electron-optical phonon interaction on the binding energies of the ground state and an excited state are calculated as a function of wire radius. Both the electronbulk optical phonon and electron-surface optical phonon coupling are considered. It is found that the energy corrections of the polaron effects on the impurity binding energies increase rapidliy as the wire radius is shrunk, and the bulk type optical phonon plays the dominant role for the polaron effects.

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“…In recent years a number of innovative techniques have been developed to grow or to fabricate and to study experimentally a variety of quantum wire structures having different geometries and potentials. Many recent experimental and theoretical studies have been performed on quantum wires subjected to a transverse magnetic field [1][2][3][4][5][6][7]. Electronic properties of quantum wells in a transverse magnetic field have been investigated in [8][9].…”

Section: Introductionmentioning

confidence: 99%

Interband electron Raman scattering in a quantum wire in a transverse magnetic field

et al. 2005

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Electron Raman scattering (ERS) is investigated in a parabolic semiconductor quantum wire in a transverse magnetic field neglecting by phonon-assisted transitions. The ERS cross-section is calculated as a function of a frequency shift and magnetic field. The process involves an interband electronic transition and an intraband transition between quantized subbands. We analyze the differential cross-section for different scattering configurations. We study selection rules for the processes. Some singularities in the Raman spectra are found and interpreted. The scattering spectrum shows density-of-states peaks and interband matrix elements maximums and a strong resonance when scattered frequency equals to the "hybrid" frequency or confinement frequency depending on the light polarization. Numerical results are presented for a GaAs/AlGaAs quantum wire.

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Direct magneto-optical observation of a quantum confined one-dimensional electron gas

Cited by 105 publications

References 18 publications

Many-body exchange-correlation effects in the lowest subband of semiconductor quantum wires

Many-body exchange-correlation effects in the lowest subband of semiconductor quantum wires

Effect of electron–phonon interaction on the impurity binding energy in a quantum wire

Interband electron Raman scattering in a quantum wire in a transverse magnetic field

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