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Yen-Lin Chen edited When_applied_an_electric_field__.tex
over 8 years ago
Commit id: d7acff3d30048bb4f1deaf61f9f0572c087e5aa0
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When applied an electric field along the quasi-1D direction on CDW materials, nonlinear motion of CDW appears and nonlinear current and conductance can be observed \cite{Fleming_1979}. There are two problems of
interest. interest in this project. (i) What is the conductance if applied a DC electric field? (ii) What is the frequency dependence of conductance for an AC electric field?
For CDW state, the band structure breaks apart by the band gap energy $E_g$ at the Fermi surface in the k-space since the lattice is distorted in real space with lattice constant from $a \rightarrow 2a$. The wavelength of the potential or the CDW $\lambda = 2a =\frac{\pi}{k_F}$ where $k_F = \frac{\pi}{2a}$ is the Fermi wave vector. Therefore we can write the expression for the charge density as a function of position x and time t: