this is for holding javascript data
Kevin Lee edited With_some_derivations_we_can__.tex
over 8 years ago
Commit id: a2412be8c1324503bfd4544a41eb5fa4c2fd27e0
deletions | additions
diff --git a/With_some_derivations_we_can__.tex b/With_some_derivations_we_can__.tex
index a20e315..32c7d60 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_{n}}dS Q^(n)=-\frac{1}{2\pi}\oint_{S}\textbf{b_n}dS
\end{equation}