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Numerical methods and programming, 2012, Volume 13, Issue 1, Pages 253–262
(Mi vmp27)
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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
Citation:
O. A. Tkachenko, V. A. Tkachenko, “Supercomputer modeling of semiconductor quantum nanosystems”, Num. Meth. Prog., 13:1 (2012), 253–262
Linking options:
https://www.mathnet.ru/eng/vmp27 https://www.mathnet.ru/eng/vmp/v13/i1/p253
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