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Kevin Lee edited textbf_Edge_States_Now_we__.tex
over 8 years ago
Commit id: f27cfb1579f8bf15bf437ed602ca0597001508af
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\textbf{Edge States:} Now we consider a special case of hBHZ model. We break the 2D lattice into a strip, which means the lattice is still translational invariant along x-direction. However, the y-direction has finite number of atoms. We can modified the previous Hamiltonian in this way.
\begin{equation}
\textit{H(k_x)}=\sum_{y=1}^{N}[\Delta+cosk_{x}]\sigma_z+Asink_x\sigma_x]\bigotimes|y\riangle\langley| \textit{H(k_x)}=\sum_{y=1}^{N}[\Delta+cosk_{x}]\sigma_z+Asink_x\sigma_x]\bigotimes |y\rangle\langle y|
\end{equation}