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Kevin Lee edited With_some_derivations_we_can__.tex
over 8 years ago
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With some derivations, we can show that the winding number in the SSH model is exactly the Berry phase of the system. The winding number can be defined in a more general form. The integral of the Berry curvature of the energy eigenstate on the surface of k-space is called "Chern number", which is defined as following
\begin{equation}
Q^(n)=-\frac{1}(2\pi)\oint_{S}\textbf{b_{n}}dS
\end{equation}