Studies of Barkhausen Pulses in Ferroelectrics

Abstract

Systems that produce crackling noises such as Barkhausen pulses are statistically similar and can be compared with one another. In this project, the Barkhausen noise of three ferroelectric lead zirconate titanate (PZT) samples were demonstrated to be compatible with avalanche statistics. The peaks of the slew-rate (time derivative of current $dI/dt$) squared, defined as jerks, were statistically analysed and shown to obey power-laws. The critical exponents obtained for three PZT samples (B, F and S) were 1.73, 1.64 and 1.61, respectively, with a standard deviation of 0.04. This power-law behaviour is in excellent agreement with recent theoretical predictions of 1.65 in avalanche theory. If these critical exponents do resemble energy exponents, they were above the energy exponent 1.33 derived from mean-field theory. Based on the power-law distribution of the jerks, we demonstrate that domain switching display self-organised criticality and that Barkhausen jumps measured as electrical noise follows avalanche theory.

arXiv comment48 pages including appendix, 57 figures. 2018 Final year project report for School of Physics and Astronomy, University of St Andrews

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Cited by in corpus (3)

• Individual Barkhausen pulses of ferroelastic nanodomains
• Local hard and soft pinning of 180${}^{\circ }$ domain walls in BaTiO${}_3$ probed by in situ transmission electron microscopy
• Electrical Studies of Barkhausen Switching Noise in Ferroelectric lead zirconate titanate (PZT) and BaTiO3: Critical Exponents and Temperature-dependence