Mode Coupling in Ballistic Quantum Wires with Double Constrictions

Horie, Shinkichi; Suzuki, Akira

doi:10.1143/jpsj.71.204

Cited by 2 publications

(7 citation statements)

References 11 publications

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“…for two different values of the magnetic quantum number

m = 0

and

m = \pm 1

. One can recognize the staircase structure of the tunneling coefficient, but there are clear tunneling peaks and dips, similar with systems in quantum wires (i.e., Cartesian coordinates) . The vertical lines indicate the energy channels in an infinitely long nanowire with radius R (dot‐dashed lines)

E_{⊥, n}^{false(m false)}

and with radius

R^{'}

(dotted lines)

, see Eq.…”

Section: Nanowire With Two Constrictions a Cylindrical Quantum Pointmentioning

confidence: 84%

“…The number of the resonant peaks can increase with m due to the increase of the effective potential barriers. Due to the cylindrical symmetry, in distinction to the Cartesian one (), these resonances do not appear for higher quantization plateaus, i.e., higher n . The next resonances at

E = 0.078

eV and

E = 0.384

eV are Fabry–Pérot type resonances.…”

Section: Nanowire With Two Constrictions a Cylindrical Quantum Pointmentioning

confidence: 95%

“…In turn, the two constrictions yield an effective double‐barrier potential for the propagation within the first energy channel. The double‐barrier potential yields resonances that appear as tunneling peaks for energies below the height of the effective double barrier. This peak is very similar to the peak measured by McEuen et al () and interpreted in terms of a hydrogenic donor atom.…”

Section: Nanowire With Two Constrictions a Cylindrical Quantum Pointmentioning

confidence: 99%

“…A large energy interval is considered, so that we are beyond the single subband regime (). Even we model here rectangular constrictions, the R‐matrix formalism is suitable for general shapes of constrictions without approximating them by piecewise rectangular step discontinuities like in mode‐matching method .…”

Section: Introductionmentioning

confidence: 99%

“…Another configuration of two adjacent quantum point contacts in 2DEG was also used for studying the solid‐state electron optics (). The ballistic electronic transport in quantum wires with two quantum point contacts (i.e., double constrictions) were numerically studied showing clear peaks and dips due to mode‐coupling effects . We consider in this paper a cylindrical nanowire.…”

Section: Introductionmentioning

confidence: 99%

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Cylindrical semiconductor nanowires with constrictions

Racec

2013

Physica Status Solidi (b)

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The energy dependence of the tunneling coefficient for a cylindrical semiconductor nanowire, i.e., a one‐dimensional electron gas, with two constrictions is studied. Using the R‐matrix formalism the localization probabilities at the resonant energies can be computed. They give decisive information about the physical meaning of the resonant peaks and dips that appear. The nanowire with two constrictions yields a well‐defined system for the experimental evidence of the quasi‐bound states of the evanescent channels. Clearly marked dips due to them should appear in the linear conductance at low temperatures. Tunneling coefficient Tfalse(mfalse) for a cylindrical nanowire with one or two constrictions, for a specific magnetic quantum number m. The influences of the geometrical parameters on the resonant energies are also shown.

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“…for two different values of the magnetic quantum number

m = 0

and

m = \pm 1

E_{⊥, n}^{false(m false)}

and with radius

R^{'}

(dotted lines)

, see Eq.…”

Section: Nanowire With Two Constrictions a Cylindrical Quantum Pointmentioning

confidence: 84%

E = 0.078

eV and

E = 0.384

eV are Fabry–Pérot type resonances.…”

Section: Nanowire With Two Constrictions a Cylindrical Quantum Pointmentioning

confidence: 95%

Section: Nanowire With Two Constrictions a Cylindrical Quantum Pointmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cylindrical semiconductor nanowires with constrictions

Racec

2013

Physica Status Solidi (b)

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Magnetotransport in Nonplanar SiGe/Si Nanomembranes

Meyer

Dias

Blick

et al. 2007

IEEE Trans. Nanotechnology

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We investigate the relationship between electronics and geometry in a nonplanar SiGe/Si resonant quantum cavity (RQC) subject to a magnetic field. The transfer matrix technique originally due to Usuki et al. [Phys. Rev. B, vol. 52, pp. 8244-8255, 1995] has been modified to account for the nonzero local curvature of the RQC. Our results demonstrate that low-temperature ballistic magnetoconductance in nonplanar RQCs is highly sensitive to the changes in curvature for a wide range of magnetic field strengths.

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Mode Coupling in Ballistic Quantum Wires with Double Constrictions

Cited by 2 publications

References 11 publications

Cylindrical semiconductor nanowires with constrictions

Cylindrical semiconductor nanowires with constrictions

Magnetotransport in Nonplanar SiGe/Si Nanomembranes

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