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Numerical methods and programming, 2012, Volume 13, Issue 1, Pages 253–262 (Mi vmp27)  

Вычислительные методы и приложения

Supercomputer modeling of semiconductor quantum nanosystems

O. A. Tkachenko, V. A. Tkachenko

Rzhanov Institute of Semiconductor Physics, Siberian Branch of Russian Academy of Sciences, Novosibirsk
Abstract: Numerical research of electron transport and quantum effects in nanostructures often requires solving a number of large problems dependent on external parameters like temperature, magnetic field, chemical potential, or applied voltage. When a problem fits computing capability of a single node, these calculations are naturally parallel. Taking into account the realistic geometry of structures or electron-electron interaction allowed us to find new physical effects: redirection of the ballistic electron flow in the Y-branch, fluctuations of phase and temperature dependence of Aharonov–Bohm oscillations in the ring interferometer, 0.7-feature of conductance in the quantum point contact, formation of fractal terrases of voltage distribution, and point ohmic heating in disordered antidot lattice.
Keywords: numerical modeling; nanostructures; two-dimensional electron gas; Landauer formula; scattering; Schroedinger equation; Poisson equation.
Received: 15.02.2012
Document Type: Article
UDC: 004.942:621.382--022.532:530.145
Language: Russian
Citation: O. A. Tkachenko, V. A. Tkachenko, “Supercomputer modeling of semiconductor quantum nanosystems”, Num. Meth. Prog., 13:1 (2012), 253–262
Citation in format AMSBIB
\Bibitem{TkaTka12}
\by O.~A.~Tkachenko, V.~A.~Tkachenko
\paper Supercomputer modeling of semiconductor quantum nanosystems
\jour Num. Meth. Prog.
\yr 2012
\vol 13
\issue 1
\pages 253--262
\mathnet{http://mi.mathnet.ru/vmp27}
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