Abstract
After discussing in some detail the theoretical aspects of properties of domain states and after describing a number of methods to observe domains, we now wish to deal with some real domain structures in single crystals. Several thousands of papers have been published on observations of domain patterns in different kinds of ferroics, offering a large amount of interesting data for materials listed in Chap. 3 and many others. Some of them are just observations as it stands, others were performed with the aim to create situations corresponding to theoretically defined conditions.
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Notes
- 1.
We have in mind nonmagnetic ferroics; in the authors’ catalogue of references some 6000 papers are listed. Surely the number of publications dealing with ferromagnetic domains would be higher by a factor between 50 and 100.
- 2.
The given expression for the critical thickness is very close to that given by Kopal et al. (1997).
- 3.
In this case the Aizu strain, in general, cannot be used in this equation (see Sect. 2.1.3).
- 4.
This follows from the relations valid for TGS: \(h_{\rm{M}} \propto \sqrt {\kappa _{\rm{c}} } \sigma _{\rm{W}} /P_{\rm{S}}^2 \), \( \sqrt {\kappa _{\rm{c}} } \propto 1/P_{\rm{S}} \), and \(\sigma _{\rm{W}} \propto P_{\rm{S}}^3\). Here the latter relation follows from Eq. (6.2.10b).
- 5.
In KDP \(\sigma _{12}\) and P 3 are linearly coupled in the parent phase (see Eq. (2.3.27)), which enables mechanical switching.
- 6.
Historically such behavior was attributed to a manifestation of the anti-polar ordering (in anomaly with antiferromagnets) (Kittel, 1951). However, further analysis has shown that such behavior can occur at any structural ordering (Balashova and Tagantsev, 1993; Strukov and Levanyuk, 1998). At the same time, the introduction of the anti-polar ordering itself becomes ill-defined in the context of the conceptual problem with the notion of polarization (see Sect. 2.1.2).
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Tagantsev, A.K., Cross, L.E., Fousek, J. (2010). Static Domain Patterns. In: Domains in Ferroic Crystals and Thin Films. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1417-0_5
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DOI: https://doi.org/10.1007/978-1-4419-1417-0_5
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