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Voltage dependent capacitances in CaCu3Ti4O12
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Image of FIG. 1.
FIG. 1.

X-ray diffraction pattern and SEM image obtained from the CCTO dense ceramic.

Image of FIG. 2.
FIG. 2.

(Color online) Capacitance versus dc-voltage curves, C-V, at 10 kHz and different temperatures.

Image of FIG. 3.
FIG. 3.

(Color online) Blow-ups of C-V for the temperatures 288 K, 230 K, 200 K and 150 K. (a) 10 kHz and (b) 20 Hz.

Image of FIG. 4.
FIG. 4.

(Color online) Capacitance versus ac-voltage curves, C(Vac) at 2 kHz and 420 K. The inset shows the radius of the impedance semicircles under different ac voltage loads.

Image of FIG. 5.
FIG. 5.

The C-V curves sometimes shows large jumps and a large hysteresis under repetitive measurements V→ 0→ V+→ 0 → V.

Image of FIG. 6.
FIG. 6.

Sketch of a back to back Schottky barrier with symmetric space charges.

Image of FIG. 7.
FIG. 7.

Sketch of the repositioning of trap charges between one field perpendicular (fs) boundary and two field parallel (fp) boundaries under an ac-voltage. The regions without shadow represent the boundaries containing anisotropic center multipole charges. Numbers “1” and “2” of the ellipsoids indicate two different positions of the multipoles (charge +dipole) which can switch under the influence of an electrical field (dc or ac)

Image of FIG. 8.
FIG. 8.

(Color online) Comparison of the capacitance after a long relaxation out of the compensated electrical conditioning state C, and the capacitance C (V = 0) for different temperatures. Both should depend on the ± dipole polarization ratio. The inset shows two examples of the creep functions.

Image of FIG. 9.
FIG. 9.

(Color online) Three types of C-V –curves which differ in their +/− polarization ratio evolution during repositioning. Set B = 4αUc 2 /kTd2 = 1, and v = U/Uc  = 0∼2, γ1  = 0 and γ1  = +1/Uc and γ1  = −1/Uc, (see Eq. (11)). The arrows indicate the possibility of a first order electrical field induced transition between two different matrix electronic phases, supplying different polarization ratio evolutions (see butterfly curve).

Image of FIG. 10.
FIG. 10.

(Color online) Fitting of the C-V curves at 10 kHz and several temperatures according to Eq. (12) in an attempt to extract the polarisability α.


Generic image for table
Table I.

The parameters at several temperatures according to the simulation.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Voltage dependent capacitances in CaCu3Ti4O12