deletions | additions       diff --git a/section_Results_I_Single_chain__.tex b/section_Results_I_Single_chain__.tex  index 68abe81..5578ae4 100644  --- a/section_Results_I_Single_chain__.tex  +++ b/section_Results_I_Single_chain__.tex 
...
\section{Results (I): Single chain density of states with a spatial dependent electric potential $eV_g(x)$}  Below we plot the tunneling rate $\Gamma(E)= 2\pi t_W^2 \rho(E)$. We observe an oscillatory behavior with oscillations that are more pronounced and fast when $N\rightarrow \infty$ with an average $\Gamma_\infty$ which is constant with energy. Here we have plotted the tunneling broadening for $a=1$, $N=25$, $L=25$, $V_g/t=0.125$, $\epsilon_0/t=2$ and $t_W=0.2t$ $t_W=0.2t$..