Time-dependent space-charge-limited conduction

The concept of time-dependent space-charge-limited conduction (TDSCLC) was introduced in 2004 to account for the well-known observation of polarization offsets in compositionally graded ferroelectric films [1]. It is a generalization of Mott's steady-state SCLC model (J $\sim $ V$^{2})$ [2] to include two carrier types ($p$ and $n)$ and time dependence. Subsequently it was found to have a wider applicability in explaining the imprint phenomenon commonly observed in homogeneous ferroelectric films [3]. Here we would like to review the derivation of the TDSCLC formula and its relation to the steady-state SCLC model, and discuss its applicability to other electrical insulators. \newline \newline [1] H. K. Chan, C. H. Lam, and F. G. Shin, J. Appl. Phys. 95, 2665 (2004) \newline [2] R. Coelho, Physics of Dielectrics for the Engineer (Elsevier Scientific, New York, 1979), pp. 123-125 \newline [3] Y. Zhou, H. K. Chan, C. H. Lam, and F. G. Shin, J. Appl. Phys. 98, 024111 (2005)