Interaction of the two-dimensional magnetoexcitons with wave vector K=0 under the influence of the Rashba spin-orbit coupling and Zeeman splitting effects
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DUMANOV, Evgheni, MOSKALENKO, Sveatoslav, PODLESNY, Igor, LELYAKOV, Igor. Interaction of the two-dimensional magnetoexcitons with wave vector K=0 under the influence of the Rashba spin-orbit coupling and Zeeman splitting effects. In: Materials Science and Condensed Matter Physics, Ed. 8-th Edition, 12-16 septembrie 2016, Chişinău. Chişinău: Institutul de Fizică Aplicată, 2016, Editia 8, p. 67. ISBN 978-9975-9787-1-2.
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Materials Science and Condensed Matter Physics
Editia 8, 2016
Conferința "International Conference on Materials Science and Condensed Matter Physics"
8-th Edition, Chişinău, Moldova, 12-16 septembrie 2016

Interaction of the two-dimensional magnetoexcitons with wave vector K=0 under the influence of the Rashba spin-orbit coupling and Zeeman splitting effects


Pag. 67-67

Dumanov Evgheni, Moskalenko Sveatoslav, Podlesny Igor, Lelyakov Igor
 
Institute of Applied Physics, Academy of Sciences of Moldova
 
Disponibil în IBN: 19 iulie 2019


Rezumat

The interaction between the two-dimensional magnetoexcitons with in-plane wave vector || 0, k  taking into account the influence of the excited Landau levels (ELLs) and of the external perpendicular electric field parallel with the strong magnetic field were investigated. The influence of the ELLs gives rise to the overall attraction between the spinless electrons and holes lying on the lowest Landau levels (LLLs), which in the Fock approximation leads to the repulsion between the magnetoexcitons with || 0. k The interaction constant g decreases inverse proportional with the increasing magnetic field strength B (g~1/B). In the presence of the perpendicular electric field the Landau quantization of the electrons and of the holes takes place under the influence of the Rashba spin-orbit coupling (RSOC), Zeeman splitting (ZS) and nonparabolicity of the heavy-hole dispersion law. The electrons and holes are withdrawn from the LLLs and are moving with new cyclotron orbits changing their Coulomb interactions as well as the affinities of the 2D magnetoexcitons with || 0 k -to interact between them. The changes of the Coulomb interactions imprinted by the electrons and by the holes moving in the new spinor states are characterized by the imprint coefficients, which in the absence of the electric field turn to be unity. The differences between the imprint coefficients of the electrons and of the holes forming the magnetoexcitons determine their affinities to the interactions.The interactions between six types of 2D magnetoexcitons Fn with n=1, 2…6 created by the combinations of two lowest electron states with three lowest heavy-hole states was studied. In these conditions 21 two-magnetoexciton pairs (Fn, Fm) can be formed. There are 6 pairs (Fi , Fi) of homogeneous magnetoexcitons with the same electron and hole states. The interaction between them is attractive, except one type of magnetoexciton with zero affinity. There are also 6 pairs of heterogeneous magnetoexcitons in which the electron and hole states are different. Two-magnetoexciton states created by four electron and hole states can be formed in two possible ways interchanging the electron and hole states. The superpositions of the two-magnetoexciton states with and without interchanging give rise to symmetric and antisymmetric states. There are also 9 semihomogeneous magnetoexciton pairs with either different electron states and with coincident hole states or vice versa. The semihomogeneous and heterogeneous magnetoexcitons forming the symmetric states attract each other, if their affinities have the same signs and undergo repulsion if their affinities have different signs. The interactions of the heterogeneous magnetoexcitons forming the antisymmetric states are of the opposite signs in comparison with the symmetric states. The interaction coefficients decrease with the increasing of the magnetic field strength B as 1. gB