A two-dimensional electron–hole system under conditions of fractional quantum hall effects
It has been shown that the Chern–Simons (C–S) gauge field created by quantum point vortices under conditions of fractional quantum Hall effects (FQHEs) leads to the formation of composite electrons and holes with equal integer numbers of quantum point vortices attached to each particle. The coherent...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
D.Ghitu Institute of Electronic Engineering and Nanotechnologies
2018-07-01
|
| Series: | Moldavian Journal of the Physical Sciences |
| Online Access: | https://mjps.nanotech.md/archive/2018/article/71434 |
| _version_ | 1830416047194243072 |
|---|---|
| author | Moscalenco, Sveatoslav Moscalenco, Vsevolod |
| author_facet | Moscalenco, Sveatoslav Moscalenco, Vsevolod |
| author_sort | Moscalenco, Sveatoslav |
| collection | DOAJ |
| description | It has been shown that the Chern–Simons (C–S) gauge field created by quantum point vortices under conditions of fractional quantum Hall effects (FQHEs) leads to the formation of composite electrons and holes with equal integer numbers of quantum point vortices attached to each particle. The coherent superposition of the velocities of these vortices leads to the formation of the C–S vector potential, which depends on the difference between density operators of the electrons and of the holes. The C–S vector potential generates an effective magnetic field acting on the particles in addition to the external magnetic field. In the mean field approximation, when the average densities of electrons and holes coincide, the effective C–S magnetic and electric fields vanish and the Landau quantization of the composite particles with the bare electron and hole effective masses take place only under the action of the external magnetic field. |
| first_indexed | 2024-12-20T21:16:50Z |
| format | Article |
| id | doaj.art-0b1bee9c16144f43b2cd3eb28b6c3183 |
| institution | Directory Open Access Journal |
| issn | 1810-648X 2537-6365 |
| language | English |
| last_indexed | 2024-12-20T21:16:50Z |
| publishDate | 2018-07-01 |
| publisher | D.Ghitu Institute of Electronic Engineering and Nanotechnologies |
| record_format | Article |
| series | Moldavian Journal of the Physical Sciences |
| spelling | doaj.art-0b1bee9c16144f43b2cd3eb28b6c31832022-12-21T19:26:23ZengD.Ghitu Institute of Electronic Engineering and NanotechnologiesMoldavian Journal of the Physical Sciences1810-648X2537-63652018-07-01171-2415171434A two-dimensional electron–hole system under conditions of fractional quantum hall effectsMoscalenco, SveatoslavMoscalenco, VsevolodIt has been shown that the Chern–Simons (C–S) gauge field created by quantum point vortices under conditions of fractional quantum Hall effects (FQHEs) leads to the formation of composite electrons and holes with equal integer numbers of quantum point vortices attached to each particle. The coherent superposition of the velocities of these vortices leads to the formation of the C–S vector potential, which depends on the difference between density operators of the electrons and of the holes. The C–S vector potential generates an effective magnetic field acting on the particles in addition to the external magnetic field. In the mean field approximation, when the average densities of electrons and holes coincide, the effective C–S magnetic and electric fields vanish and the Landau quantization of the composite particles with the bare electron and hole effective masses take place only under the action of the external magnetic field.https://mjps.nanotech.md/archive/2018/article/71434 |
| spellingShingle | Moscalenco, Sveatoslav Moscalenco, Vsevolod A two-dimensional electron–hole system under conditions of fractional quantum hall effects Moldavian Journal of the Physical Sciences |
| title | A two-dimensional electron–hole system under conditions of fractional quantum hall effects |
| title_full | A two-dimensional electron–hole system under conditions of fractional quantum hall effects |
| title_fullStr | A two-dimensional electron–hole system under conditions of fractional quantum hall effects |
| title_full_unstemmed | A two-dimensional electron–hole system under conditions of fractional quantum hall effects |
| title_short | A two-dimensional electron–hole system under conditions of fractional quantum hall effects |
| title_sort | two dimensional electron hole system under conditions of fractional quantum hall effects |
| url | https://mjps.nanotech.md/archive/2018/article/71434 |
| work_keys_str_mv | AT moscalencosveatoslav atwodimensionalelectronholesystemunderconditionsoffractionalquantumhalleffects AT moscalencovsevolod atwodimensionalelectronholesystemunderconditionsoffractionalquantumhalleffects AT moscalencosveatoslav twodimensionalelectronholesystemunderconditionsoffractionalquantumhalleffects AT moscalencovsevolod twodimensionalelectronholesystemunderconditionsoffractionalquantumhalleffects |