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Berry phase in 1D materials
The Berry phase $\phi_B$ is the phase that an eigenstate acquires after its momentum vector goes around a circle at constant energy around the Dirac point.
It is defined as $\phi_B = -i \int \langle\...
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Kane and Mele's argument on the existence of edge states in quantum spin Hall effect of graphene
Borrowing from Laughlin's argument on quantum Hall effect, Kane and Mele argued why there must be edge states in graphene with spin-orbit coupling in one paragraph, which is above the one with ...