Dynamic hysteresis dispersion scaling of ferroelectric Nd-substituted Bi4Ti3O12 thin films

J. M. Liu*, B. Pan, H. Yu, S. T. Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)


The dynamics of ferroelectric hysteresis for Nd-substituted Bi 4Ti3O12 thin films as a function of frequency and amplitude of time-varying external electric field is measured utilizing a Sawyer-Tower (ST) circuit. The frequency ranges from 1 to 106 Hz and the amplitude range is 101-400 kV cm-1. Given a fixed field amplitude E0, the hysteresis area A first grows and then decays with increasing frequency f. We study the characteristics of the dynamic order parameter Q against field amplitude E0. The frequency dependence of the hysteresis area over the low-frequency range can be expressed as A ∝ E02/3 f1/3. However, over the high-frequency range, the frequency dependence takes the form A ∝ E0 2 f-2/3. We demonstrate that the hysteresis dispersion approaches its scaling state when the field amplitude E0 is higher than 170 kV cm-1, and a unique effective characteristic time τ1 exists for the domain reversal that is inversely proportional to the field amplitude.

Original languageEnglish
Pages (from-to)1189-1195
Number of pages7
JournalJournal of Physics Condensed Matter
Issue number8
Publication statusPublished - 3 Mar 2004
Externally publishedYes


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