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Yen-Lin Chen edited When_applied_an_electric_field__.tex
over 8 years ago
Commit id: 6b3efe5ecc75f184b67c60d2cbe55d8778ccdc02
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The weak electric field, i.e. $E_0 >> E_{dc}$, leads to vanishing of the force. Thus the conductance is negligible. For large field $E_{dc} >> E_0$, the force is nonlinearly dependent upon $E_{dc}$, thus the second term in equation (4) shows up. Moreover, the different lattice spacing gives rise to different values of gap energy. The constant in the exponent, $E_0$, depends upon the gap energy; therefore, the relationship between the lattice spacing and the threshold electric field will also be investigated.
Secondly, this project will investigate the relationship between the AC conductance and the frequency of
the applied field. This problem was
dealt with approached by considering the classical single particle
model. model in oscillation mode instead of sliding mode. For very high or very low frequency, the AC conductance vanishes since CDW is overdamped. The AC conductance plays an important role if the frequency is
near close to the frequency of
CDW. CDW, $\omega_0$. In this case from equation (1)
\begin{equation}
\omega_0 = 2k_F v
\end{equation}
The resonance of the applied AC field and CDW occurs at $\omega \approx \omega_0$, where the electric field shifts CDW by one distorted lattice spacing within one period. The resonance frequency is determined by the gap energy and also the period of the potential.
This primitive result for AC conductance is shown in (Fig.2).