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SM ISO690:2012 MOSKALENKO, Sveatoslav, MOSKALENKO, Vsevolod, PODLESNY, Igor, LIBERMAN, Michael. A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices. In: Moldavian Journal of the Physical Sciences, 2021, nr. 1(20), pp. 7-34. ISSN 1810-648X. DOI: https://doi.org/10.53081/mjps.2021.20-1.01 |
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Moldavian Journal of the Physical Sciences | ||||||
Numărul 1(20) / 2021 / ISSN 1810-648X /ISSNe 2537-6365 | ||||||
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DOI:https://doi.org/10.53081/mjps.2021.20-1.01 | ||||||
CZU: 538.9+539.17+539.14 | ||||||
Pag. 7-34 | ||||||
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In the present work, the Chern–Simons (CS) gauge field theory developed by Jackiw and Pi [8] and widely used to interpret the fractional quantum Hall effects, is applied to describe a two-dimensional (2D) electron–hole (e–h) system in a strong perpendicular magnetic field and under the influence of quantum point vortices creating the CS gauge field. Composite particles formed by electrons and holes with equal integer positive numbers Ø of attached quantum point vortices are described by dressed field operators, which obey the Fermi or Bose statistics depending on even or odd numbers Ø . It is shown that the phase operators, as well as the vector and scalar potentials of the CS gauge field, depend on the difference between the electron and hole density operators. They vanish in the mean field approximation, when the average values of electron and hole densities coincide. Nevertheless, even in this case, the quantum fluctuations of the CS gauge field lead to new physics of the 2D e–h system. |
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Cuvinte-cheie Chern–Simons gauge field, quantum point vortices, electron–hole system, two-dimensional (2D), Strong magnetic field, сâmp de etalonare Chern–Simons, vârtejuri punctiforme cuantice, sistem din electroni și goluri bidimensionali (2D), câmp magnetic puternic |
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