deletions | additions       diff --git a/However_experimentally_no_threshold_voltage__.tex b/However_experimentally_no_threshold_voltage__.tex  index 4262fbc..5059982 100644  --- a/However_experimentally_no_threshold_voltage__.tex  +++ b/However_experimentally_no_threshold_voltage__.tex 
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Consider the CDW in a sinusoidal potential of period $2a$ where a is the lattice constant without distortion.   \begin{equation}  V(x) = 0.5 \space \mathcal{E}_g \left(1+Sin\left( \left(1+sin\left(  \frac{\pi x}{2 a} \right)\right) = 0.5 \space \hbar \omega_t \left(1+Sin\left( \frac{\pi x}{2 a} \right)\right) \end{equation}  If the applied AC voltage is $V = V_{ac} \space cos(\omega t)$ without any DC bias. The energy gained by the electron is ${\hbar \omega}/{e^*}$. Therefore, the tunneling probability is  \begin{equation}  T(\omega) = exp\left( -2 \int_0^{2a} \kappa_b(x)dx \right)  \end{equation}