
Advanced Solid State Physics  

Transport in 1D crystalsThe electron dispersion relation for any onedimensional potential can be easily determined numerically. The velocity of the $k$ states can also be determined numerically, \begin{equation} \vec{v}_{k}= \frac{1}{\hbar}\frac{dE(k)}{dk}. \end{equation}This can be used to calculate the transport properties of onedimensional crystals.
