Effect of wall thickness on the ferroelastic domain size of BaTiO3

Extremely regular self-organized patterns of 90A degrees ferroelastic domains have been reported in free-standing single crystal thin films of ferroelectric BaTiO3. Lukyanchuk et al. [Phys Rev B 79, 144111 (2009)] have recently shown that the domain size as a function of thickness for such free standing films can be well described assuming that the domains are due to stress caused by a surface tension layer that does not undergo the paraelectric-ferroelectric transition. From the starting point of Lukyanchuk's model, it is shown here that the "universal" relationship between domain size and domain wall thickness previously observed in ferroelectrics, ferromagnets and multiferroics is also valid for ferroelastic domains. Further analysis of experimental data also shows that the domain wall thickness can vary considerably (an order of magnitude) from sample to sample even for the same material (BaTiO3), in spite of which the domain size scaling model is still valid, provided that the correct, sample dependent, domain wall thickness is used.