A two-dimensional electron–hole system in terms of the Chern–Simons theory: slowly varying field operators
CZU: 538.9:530.145
Authors:
Moscalenco, Sveatoslav; Moscalenco, Vsevolod; Digor, Dumitru; Leleacov, Igor
Summary:
In the previous paper [1], the conduction and the valence electrons of the two-dimensional (2D) semiconductor layer subjected to the action of an external perpendicular magnetic field and interacting with 2D quantum point vortices have been described in terms of the Chern–Simons (C–S) theory. The C–S unitary transformation introducing the vector and scalar potentials generated by the quantum point vortices into the Hamiltonian and transforming the conduction and valence electrons into composite particles attaching them equal numbers of 2D quantum point vortices has been used. In the present paper, slowly varying envelope-type field operators are introduced. The initial Hamiltonian containing the periodic lattice potential and bare electron mass 0 m is transformed into the form with effective electron and hole masses, which determine the cyclotron frequencies of the Landau quantization in the presence of a C–S field.
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<meta name="citation_title" content="<p>A two-dimensional electron–hole system in terms of the Chern–Simons theory: slowly varying field operators</p>"> <meta name="citation_author" content="Moscalenco, Sveatoslav"> <meta name="citation_author" content="Moscalenco, Vsevolod"> <meta name="citation_author" content="Digor, Dumitru"> <meta name="citation_author" content="Leleacov, Igor"> <meta name="citation_publication_date" content="2017/12/29"> <meta name="citation_journal_title" content="Moldavian Journal of the Physical Sciences"> <meta name="citation_volume" content="16"> <meta name="citation_issue" content="3-4"> <meta name="citation_firstpage" content="173"> <meta name="citation_lastpage" content="181"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/173-181_0.pdf">
Crossref
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CERIF
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BibTeX
@article{ibn_71459,
author = {Moscalenco, S.A. and Moscalenco, V.A. and Digor, D.F. and Leleacov, I.A.},
title = {<p>A two-dimensional electron–hole system in terms of the Chern–Simons theory: slowly varying field operators</p>},
journal = {Moldavian Journal of the Physical Sciences},
year = {2017},
volume = {16 (3-4)},
pages = {173-181},
month = {Dec},
abstract = {(EN) <p>In the previous paper [1], the conduction and the valence electrons of the two-dimensional (2D) semiconductor layer subjected to the action of an external perpendicular magnetic field and interacting with 2D quantum point vortices have been described in terms of the Chern–Simons (C–S) theory. The C–S unitary transformation introducing the vector and scalar potentials generated by the quantum point vortices into the Hamiltonian and transforming the conduction and valence electrons into composite particles attaching them equal numbers of 2D quantum point vortices has been used. In the present paper, slowly varying envelope-type field operators are introduced. The initial Hamiltonian containing the periodic lattice potential and bare electron mass 0 <em>m </em>is transformed into the form with effective electron and hole masses, which determine the cyclotron frequencies of the Landau quantization in the presence of a C–S field.</p>},
url = {https://ibn.idsi.md/vizualizare_articol/71459},
}
DataCite
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Dublin Core
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