this is for holding javascript data
Rosa edited section_Density_of_states_In__.tex
over 8 years ago
Commit id: f3eedc067d5c2f55550af1067399c215d3dbdada
deletions | additions
diff --git a/section_Density_of_states_In__.tex b/section_Density_of_states_In__.tex
index eb9cb09..04bd8b1 100644
--- a/section_Density_of_states_In__.tex
+++ b/section_Density_of_states_In__.tex
...
\section{Density of states}
In this calculation we reproduce the result for the density of states for a semi-infinite chain of sites under the influence of a spatial dependent potential \cite{Park_2013}. The Hamiltonian for the chain is
\begin{equation}
H_{W}=\sum_{j=1}^{j=N} \epsilon_0 c_{j}^\dagger c_{j} +
\sum_{j=N+1}^{j=\Infity} \sum_{j=N+1}^{j=\Infty} V_g c_{j}^\dagger c_{j} +
\sum_{j=1}^{j=\Infity} \sum_{j=1}^{j=\Infty} t \left(c_j^\dagger c_j+1+H.C\right)
\end{equation}