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PhD Thesis Arne Lüker final version V4 - Cranfield University

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26<br />

Introduction<br />

based on ferroelectrics [44, 45]. In fact, ferroelectrics are gaining ground for tunable<br />

microwave applications, including lumped element (device sizes much smaller than the<br />

microwave wavelength) and distributed element devices, such as varactors, phase<br />

shifters, delay lines, tunable filters, antennas, etc... Nevertheless, problems such as<br />

hysteresis, temperature dependence of parameters (such as permittivity of the<br />

ferroelectric material), etc., still need adequate treatment. One of the fundamental<br />

problems concerning the practical use of tunable ferroelectric devices has to do with the<br />

Fig. 1.17: (a) BZN structure with random offcentering<br />

of ions (yellow: O, green: Bi). (b)<br />

Applied bias field dependence of the permittivity<br />

and dielectric loss of a BZN film on Al2O3/Pt at 1<br />

MHz [46]<br />

strong temperature dependence of the parameters of<br />

tunable ferroelectric devices associated with the<br />

inherent temperature dependence of the<br />

ferroelectric’s permittivity.<br />

Recently the group around Stammer et al. introduced<br />

a new non-ferroelectric material: bismuth zinc<br />

niobate (BZN), which has a cubic pyrochlore<br />

structure [46]. To understand the origin of the<br />

tunability of BZN, which would aid in the discovery<br />

of new tunable materials, models were developed<br />

that describe the temperature dependence of the<br />

tunability of non-ferroelectrics. BZN films thus have<br />

a practical advantage over tunable ferroelectric<br />

materials, as they would allow temperature-stable<br />

tunable devices. It was also shown that, in a first<br />

approximation, at temperatures above the dielectric<br />

relaxation, the temperature dependence of the BZN<br />

film tunability can be described by a simple model of<br />

hopping dipoles under the influence of random fields.<br />

This is consistent with the chemical and displacive<br />

randomness of the BZN structure that controls the dielectric behavior [47, 48]. However,<br />

the origin of the large electric field tunability of the permittivity of BZN is not yet<br />

understood.

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