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Topological insulator are materials formed by an insulator bulk and metallic surfaces with topological origin. These materials may be important for developments in Quantum Computing and Spintronics.

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How to derive the spin-orbit term in Kane Mele model?

The spin-orbit interaction can be written: $$ H=\mathscr{E} \hat{L} \cdot \hat{S}, $$ where $\hat{L}=\hat{r} \times \hat{p}$. Consider an electron hopping to its next nearest neighbour on the honey …
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