Plasma and single particle excitations in quasi-one-dimensional electron systems

Shikin, V.; Demel, T.; Heitmann, D.

doi:10.1016/0039-6028(90)90888-f

Cited by 23 publications

(6 citation statements)

References 8 publications

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“…Furthermore, the resulting Thomas-Fermi density function has been shown to be very well represented by the analytic form due to Shikin et al 3,4 This analytic form leads to useful relations among the central electron density, its radius, the Fermi level, and the effective spring constant of the confining potential, which are accurately obeyed by the numerical Thomas-Fermi results.…”

Section: Discussionmentioning

confidence: 79%

“…3 there is an undefined quantity L which we can see arises naturally in our treatment as the expression of the boundary condition on the surface of the semiconductor via the mirror term. We also note that in the large x limit, one expands in powers of 1/x 2 .…”

Section: Appendix B: a Taylor Expansionmentioning

confidence: 99%

“…We shall further discuss and clarify this behavior in Sec. VI where we generalize a classical model proposed by Shikin et al 3,4 …”

Section: ͪ ͑37͒mentioning

confidence: 99%

“…Finally, in Sec. VI, we make the connection with a purely classical model proposed by Shikin et al 3,4 for the charge distribution. We show that the model can be applied to our description and leads to a set of analytic relations, Eqs.…”

Section: Introductionmentioning

confidence: 99%

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Systematics of properties of the electron gas in deep-etched quantum wires

Martorell

Sprung

1996

Phys. Rev. B

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An efficient method is developed for an iterative solution of the Poisson and Schrödinger equations, which allows systematic studies of the properties of the electron gas in linear deep-etched quantum wires. A much simpler two-dimensional ͑2D͒ approximation is developed that accurately reproduces the results of the 3D calculations. A 2D Thomas-Fermi approximation is then derived, and shown to give a good account of average properties. Further, we prove that an analytic form due to Shikin et al. is a good approximation to the electron density given by the self-consistent methods. ͓S0163-1829͑96͒00339-6͔

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Section: Discussionmentioning

confidence: 79%

Section: Appendix B: a Taylor Expansionmentioning

confidence: 99%

“…We shall further discuss and clarify this behavior in Sec. VI where we generalize a classical model proposed by Shikin et al 3,4 …”

Section: ͪ ͑37͒mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Systematics of properties of the electron gas in deep-etched quantum wires

Martorell

Sprung

1996

Phys. Rev. B

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“…Many of these approaches have been used to investigate the limiting cases of a weakly modulated 2DEG [71][72][73][74][75] or of a 1DEG with a few occupied subbands. [76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92] Some of these theoretical treatments also address the problem of the description of a modulated 2DEG with an arbitrary amplitude of the modulation ͑i.e., from the 2D to the 1D limit͒. In our point of view, it is not easy to discriminate between these different approaches since there are very few sets of results available in the literature that combine transport and optical data, 37,40,44 and which allow to confront theoretical models with a broad range of results obtained on a given sample.…”

Section: Introductionmentioning

confidence: 99%

Electrical transport and far-infrared transmission in a quantum wire array

Lefebvre

Beerens

Feng

et al. 1998

Journal of Vacuum Science &Amp; Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena

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A wide set of data obtained on a two-dimensional electron gas submitted to a tunable lateral modulation, induced using a split-gate technique, is presented. Owing to a unique design of the sample, it has been possible to combine in a single experimental run, far-infrared transmission measurements and electrical transport measurements in both directions parallel and perpendicular to the lateral modulation. The discussion of the results emphasizes the correspondence between various features observed in both types of measurements. Based on these features, three regimes of modulation are clearly identified, namely the weak, intermediate and strong modulation regimes. Far-infrared transmission data show that each of these regimes is characterized by plasmon modes with a distinctive behavior. These behaviors are analyzed further with the use of transport data, which allow to determine the electron concentration in the structure for every condition of gate voltage. In the weak modulation regime, a quantitative analysis shows that the collective mode energy is consistent with that of a classical 2D plasmon at q=2π/a (where a is the period of the split gate), using the average electron concentration under the gate as the relevant parameter. In the intermediate regime, the collective modes are confined plasmons. The observation of “confined Bernstein modes” indicates that the bare confinement potential is nonparabolic in this regime. In the strong modulation regime, the observation of a far-infrared resonance energy which does not depend on the modulation amplitude, while the effective 2D electron concentration (within each wire) varies with gate voltage, shows that the collective mode is a Kohn mode.

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Atomic-Like Spectroscopy of Low-Dimensional Electron Systems

Heitmann

1995

Confined Electrons and Photons

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Plasma and single particle excitations in quasi-one-dimensional electron systems

Cited by 23 publications

References 8 publications

Systematics of properties of the electron gas in deep-etched quantum wires

Systematics of properties of the electron gas in deep-etched quantum wires

Electrical transport and far-infrared transmission in a quantum wire array

Atomic-Like Spectroscopy of Low-Dimensional Electron Systems

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