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Физика и техника полупроводников, 2020, том 54, выпуск 12, страница 1384
(Mi phts6683)
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NANOSTRUCTURES : PHYSICS AND TECHNOLOGY 28th International Symposium (Minsk, Republic of Belarus, September, 2020)
Graphene
Supersymmetry and stable Dirac sea in carbon nanotubes
E. L. Rumyantsev, P. E. Kunavin, A. V. Germanenko Institute of Natural Science, Ural Federal University,
620000 Ekaterinburg, Russia
Аннотация:
We consider the construction of exactly solvable models of twisted carbon nanotubes by applying Darboux transformation to the square of the Dirac-like Hamiltonian, describing the low-energy dynamics of charge carriers. It is shown that obtained two pseudo-Schrodinger expressions are intertwined, demonstrating supersymmetry structure. It is proved, that for the considered class of pseudo-scalar external perturbations, the unitary disentanglement of negative/positive states as within Foldy–Wouthuysen (FW) approach, so by Eriksen or SU(2) methods, can be carried out exactly, thus demonstrating the stability of the Dirac-sea. The necessity of introduction of the probability density operator into the theory, while considering the problem in FW representation, is underlined.
Ключевые слова:
supersymmetry; carbon nanotubes; probability density.
Поступила в редакцию: 23.06.2020 Исправленный вариант: 23.07.2020 Принята в печать: 27.07.2020
Образец цитирования:
E. L. Rumyantsev, P. E. Kunavin, A. V. Germanenko, “Supersymmetry and stable Dirac sea in carbon nanotubes”, Физика и техника полупроводников, 54:12 (2020), 1384; Semiconductors, 54:12 (2020), 1661–1663
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/phts6683 https://www.mathnet.ru/rus/phts/v54/i12/p1384
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