Nanoscale origins of nonlinear behavior in ferroic thin films

Rama K. Vasudevan, M. Baris Okatan, Chen Duan, Yoshitaka Ehara, Hiroshi Funakubo, Amit Kumar, Stephen Jesse, Long Qing Chen, Sergei V. Kalinin, Valanoor Nagarajan

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The nonlinear response of a ferroic to an applied field has been studied through the phenomenological Rayleigh Law for over a hundred years. Yet, despite this, the fundamental physical mechanisms at the nanoscale that lead to macroscopic Rayleigh behavior have remained largely elusive, and experimental evidence at small length scales is limited. Here, it is shown using a combination of scanning probe techniques and phase field modeling, that nanoscale piezoelectric response in prototypical Pb(Zr,Ti)O3 films appears to follow a distinctly non-Rayleigh regime. Through statistical analysis, it is found that an averaging of local responses can lead directly to Rayleigh-like behavior of the strain on a macroscale. Phase-field modeling confirms the twist of the ferroelastic interface is key in enhancing piezoelectric response. The studies shed light on the nanoscale origins of nonlinear behavior in disordered ferroics.

Original languageEnglish (US)
Pages (from-to)81-90
Number of pages10
JournalAdvanced Functional Materials
Issue number1
StatePublished - Jan 7 2013

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics


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