Eigensolutions of the Wigner–Eisenbud problem for a cylindrical nanowire within finite volume method

Racec, Paul N.; Schade, Stanley; Kaiser, Hans-Christoph

doi:10.1016/j.jcp.2013.06.010

Cited by 3 publications

(1 citation statement)

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“…We consider here a position‐independent isotropic effective mass

m^{*}

. The extension of the model for position‐dependent and anisotropic effective mass tensor is also possible (). The scattering potential

V false(z, r false)

has a position dependence only inside the scattering region

z \in false[- d_{z}, d_{z} false]

and is constant or separable in the asymptotic regions, i.e., leads

false| z false| > d_{z}

, see Fig.…”

Section: Modelmentioning

confidence: 99%

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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“…We consider here a position‐independent isotropic effective mass