Using Landau-Ginzburg-Devonshire theory we calculated numerically the static conductivity of both inclined and counter domain walls in the uniaxial ferroelectrics-semiconductors of n-type. We used the effective mass approximation for the electron and holes density of states, which is valid at arbitrary distance from the domain wall. Due to the electrons accumulation, the static conductivity drastically increases at the inclined head-to-head wall by 1 order of magnitude for small incline angles theta pi/40 by up 3 orders of magnitude for the counter domain wall (theta=pi/2). Two separate regions of the space charge accumulation exist across an inclined tail-to-tail wall: the thin region in the immediate vicinity of the wall with accumulated mobile holes and the much wider region with ionized donors. The conductivity across the tail-to-tail wall is at least an order of magnitude smaller than the one of the head-to-head wall due to the low mobility of holes, which are improper carries. The results are in qualitative agreement with recent experimental data for LiNbO3 doped with MgO.
[1]
V. Shur.
Correlated Nucleation and Self-Organized Kinetics of Ferroelectric Domains
,
2005
.
[2]
A. Tagantsev,et al.
Head-to-head and tail-to-tail 180 ° domain walls in an isolated ferroelectric
,
2011,
1103.1571.
[3]
中村 輝太郎.
V. M. Fridkin: Ferroelectric Semiconductors, Consultants Bureau, New York and London, 1980, xiii+318ページ, 23.5×16.5cm.
,
1981
.