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MATHEMATICS
Cyclic-periodic ZRP structures. Scattering problem for generalized Bloch functions and conductivity
S. Leble Immanuel Kant BFU, Al. Nevsky st.14, Kaliningrad, 236016, Russia
Аннотация:
Problems of quantum description of nanostructures transport properties is investigated in a framework of the structure symmetry group. Corresponding states of conductivity electrons are defined as irreducible representations of the group. The right/left Bloch functions are written and the Floquet theorem is formulated. The results are used for formulating the zero range potential (ZRP) conditions for arbitrary orbital quantum number whose construction is presented via Darboux dressing chain built in a space of distributions. The electron spin variables are taken into account. A spectrum of the non-relativistic Hamiltonian with a system of a nanostructure ZRPs is found from the matrix eigenvalue problem. The scattering problem on an extra ZRP is formulated in terms of the right/left Bloch functions. As an example, the discrete spectrum and scattering on N-ZRP-centers is solved and compared with experimental data for benzene molecule.
Ключевые слова:
Nanostructures, zero-range potential, Bloch wave, scattering problem, charge transport.
Поступила в редакцию: 08.01.2018 Исправленный вариант: 31.01.2018
Образец цитирования:
S. Leble, “Cyclic-periodic ZRP structures. Scattering problem for generalized Bloch functions and conductivity”, Наносистемы: физика, химия, математика, 9:2 (2018), 225–243
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano156 https://www.mathnet.ru/rus/nano/v9/i2/p225
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Страница аннотации: | 54 | PDF полного текста: | 24 |
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