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Fizika i Tekhnika Poluprovodnikov, 2020, Volume 54, Issue 12, Page 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
Abstract:
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.
Keywords:
supersymmetry; carbon nanotubes; probability density.
Received: 23.06.2020 Revised: 23.07.2020 Accepted: 27.07.2020
Citation:
E. L. Rumyantsev, P. E. Kunavin, A. V. Germanenko, “Supersymmetry and stable Dirac sea in carbon nanotubes”, Fizika i Tekhnika Poluprovodnikov, 54:12 (2020), 1384; Semiconductors, 54:12 (2020), 1661–1663
Linking options:
https://www.mathnet.ru/eng/phts6683 https://www.mathnet.ru/eng/phts/v54/i12/p1384
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