this is for holding javascript data
Kevin Lee edited With_some_derivations_we_can__.tex
over 8 years ago
Commit id: 3111e1fd9eb893d7fac8e99a40693f948c9cbb42
deletions | additions
diff --git a/With_some_derivations_we_can__.tex b/With_some_derivations_we_can__.tex
index 4dcbdeb..d4af45d 100644
--- a/With_some_derivations_we_can__.tex
+++ b/With_some_derivations_we_can__.tex
...
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}_ndS Q^n=-\frac{1}{2\pi}\oint_{S}\textbf{b}_ndS
\end{equation}