Fermi Resonance Involving Nonlinear Dynamical Couplings in $\mathrm{Pb}(\mathrm{Zr},\mathrm{Ti}){\mathrm{O}}_{3}$ Solid Solutions

Fermi Resonance Involving Nonlinear Dynamical Couplings in $Pb (Zr, Ti) O_{3}$ Solid Solutions

Dawei Wang, Elena Buixaderas, Jorge Íñiguez, Jeevaka Weerasinghe, Hong Wang, and L. Bellaiche

Phys. Rev. Lett. 107, 175502 – Published 17 October 2011

Abstract

We have used first-principles-based simulations and Raman scattering techniques to reveal a novel dynamical phenomenon in $Pb (Zr, Ti) O_{3}$ solid solutions: a Fermi resonance (FR) emerging from the nonlinear coupling between ferroelectric (FE) motions and tiltings of oxygen octahedra. This FR manifests itself as the doubling of a nominally single FE mode in a purely FE phase, when the resonant frequency of the FE mode is close to the first overtone of the tiltings. We show that the FR is the result of a nonlinear coupling that is proportional to the spontaneous polarization of the material and derive an analytical model that captures the essence of the effect.

Received 19 June 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.175502

Authors & Affiliations

Dawei Wang^1,2,*, Elena Buixaderas³, Jorge Íñiguez⁴, Jeevaka Weerasinghe², Hong Wang⁵, and L. Bellaiche²

¹Shaanxi Key Laboratory of Photonics Technology for Information and Key Laboratory for Physical Electronics and Devices of the Ministry of Education, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China*
²Physics Department, University of Arkansas, Fayetteville, Arkansas 72701, USA
³Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 18221 Prague 8, Czech Republic
⁴Institut de Ciència de Materials de Barcelona (ICMAB-CSIC), Campus UAB, 08193 Bellaterra, Spain
⁵School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China