Refractive switch for two-dimensional electrons

Spector, J.; Störmer, H. L.; Baldwin, K. W.; Pfeiffer, L. N.; West, K. W.

doi:10.1063/1.102901

Cited by 61 publications

(26 citation statements)

References 4 publications

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“…Another nice experiment used a refractive electronic prism to switch a beam of ballistic electrons between different collectors in the same 2DES [25] The quantum character of ballistic electrons is clearly present, even they are regarded as beams of particles. Transmission and reflection of electrons on a sharp (compared to λ F ), rectangular barrier, induced via a surface gate at T = 0.5K, follow the laws obtained in quantum mechanics, for instance the following expression for the transmission coefficient:…”

Section: Optics Experiments With Ballistic Electronsmentioning

confidence: 99%

“…[8], [25], [26]. The refraction of a beam of ballistic electrons can be simply described, using elementary considerations.…”

Section: Optics Experiments With Ballistic Electronsmentioning

confidence: 99%

“…So, the mean free path of electrons is very short compared to the dimension of the specimen. [8] One of the macroscopic consequences of this behaviour is the fact that the conductance of a rectangular 2D conductor is directly proportional to its width (W) and inversely proportional to its length (L). Does this ohmic behaviour remain correct for arbitrary small dimensions of the conductor?…”

Section: Dess and Ballistic Electronsmentioning

confidence: 99%

“…It is instructive to obtain the wave equation for the electric and magnetic field in this simple geometry, starting directly from the Maxwell equations (7), (8). Assuming that µ = µ 0 throughout the entire system and that the t−dependence is:…”

Section: The Optical Problemmentioning

confidence: 99%

“…An electrostatic lens for ballistic electrons was set up in [8] and its focusing action was demonstrated in the GaAs / AlGaAs heterostructure. In this way, the close analogy between the propagation of ballistic electrons and geometrical optics has been put in evidence.…”

Section: Optics Experiments With Ballistic Electronsmentioning

confidence: 99%

See 4 more Smart Citations

Waveguides, Resonant Cavities, Optical Fibers and Their Quantum Counterparts

Barsan¹

2012

Trends in Electromagnetism - From Fundamentals to Applications

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Section: Optics Experiments With Ballistic Electronsmentioning

confidence: 99%

“…[8], [25], [26]. The refraction of a beam of ballistic electrons can be simply described, using elementary considerations.…”

Section: Optics Experiments With Ballistic Electronsmentioning

confidence: 99%

Section: Dess and Ballistic Electronsmentioning

confidence: 99%

Section: The Optical Problemmentioning

confidence: 99%

Section: Optics Experiments With Ballistic Electronsmentioning

confidence: 99%

See 3 more Smart Citations

Waveguides, Resonant Cavities, Optical Fibers and Their Quantum Counterparts

Barsan¹

2012

Trends in Electromagnetism - From Fundamentals to Applications

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Quantum‐mechanical analysis of scattering of an electron beam in magnetic fields by a finite height potential by means of BEM

Ueta

2002

Electron Comm Jpn Pt II

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SUMMARYThis paper analyzes quantum-mechanically the scattering of electron beams due to a finite and constant scattering potential in a magnetic field by using the boundary element method. The system is divided into parts with and without the scattering potential. In each region, the boundary integral equation is established. Then, the wave function and its normal derivative at the potential boundary common to both regions are included. Although both are unknown, they can be obtained as direct solutions by solving the two integral equations simultaneously. The present method is applied to a magnetic electron focusing structure with a finitely high square potential between the emitter and collector and the probability distribution of the electrons is computed. The results are interpreted physically and the effectiveness and problems of the present method are discussed.

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Analysis of transport properties of five‐terminal beam splitter using anisotropy of the group velocity

Ueta¹

2002

Electron Comm Jpn Pt II

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SUMMARYThis paper proposes a beam splitter with one emitter and two collectors each on the left and right based on anisotropy of the group velocity. An anisotropic medium is represented by a two-dimensional square lattice tight-binding model. The transport property of the beam splitter is analyzed by means of the boundary-type solution method. At the center of the band where the anisotropy of the group velocity is strong, the incident beam is split into two and propagates along the diagonal directions of the square lattice with almost no diffraction.

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Refractive switch for two-dimensional electrons

Cited by 61 publications

References 4 publications

Waveguides, Resonant Cavities, Optical Fibers and Their Quantum Counterparts

Waveguides, Resonant Cavities, Optical Fibers and Their Quantum Counterparts

Quantum‐mechanical analysis of scattering of an electron beam in magnetic fields by a finite height potential by means of BEM

Analysis of transport properties of five‐terminal beam splitter using anisotropy of the group velocity

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