Band inversion in HgTe is explained on the basis of band ordering of Gamma 6, Gamma 7, and Gamma 8 positions. But what do these 6, 7 and 8 represents?
can anybody explain briefly how can we calculate them?
Thank you in advance
Dear Suneetha Nagaraja
These are symmetry points band structure calculations in topological insulators.
The calculation in the screenshots shows plots of energy E(eV) as a function of the wave vector k(nm-1), for different Gamma points, please check:
Article Edge physics in two-dimensional topological insulators
Best Regards.
Dear P.contreras
The high symmetry point Gamma is subscripted with the 6,7 and 8.In normal Insulator Gamma 6 is in the conduction band and originates from the s-type band and gamma 8 is in the valence band from the p-type band. it is the opposite in the case of HgTe(Band inversion). it is possible to calculate this 6,7 and 8 from angular momentum values of s and p orbital.
can you please suggest me numerical calculations related to 6, 7, and 8?
Thank you.
Dear Suneetha Nagaraja
I apologize, but I have never done calculations in topological insulators, however, I read some papers that attracted my attention to this matter when magnetic impurities are added.
Please check:
Article Indirect exchange interaction between magnetic impurities ne...
From what I read, the calculation belongs to the use of k.p theory
Please, it is in Russian Language, equation 2.8
https://chair.itp.ac.ru/biblio/bachelors/2016/kurilovichpd_bak_diplom_2016.pdf
Best Regards.
Ok, I will go through the suggested link.
Thank you, Dear P.Contreras for your continuous suggestions.
Dear Suneetha Nagaraja . See the following useful RG links: Article Electronic structure and electron g factors of HgTe quantum dots
https://www.teses.usp.br/teses/disponiveis/76/76131/tde-24092018-150734/publico/DenisRicardoCandido_DO_corrigida.pdf
https://www.intechopen.com/chapters/39028
https://www.nature.com/articles/s41598-022-06431-0
https://www.sciencedirect.com/science/article/abs/pii/S0925838801013500
Kindly see also the following useful RG links: Article Topological insulators with unexpectedly HgTe-like band inve...
https://www.ijera.com/papers/Vol4_issue12/Part%20-%206/Q041206110115.pdf
Also check please the following useful RG links: Preprint First principles feasibility assessment of a topological ins...
Article Surface and edge states in topological semimetals
Preprint Topological states in superlattices of HgTe-class materials ...
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