Condensation of collective polar vortex modes

Tiannan Yang, Cheng Dai, Qian Li, Haidan Wen, Long Qing Chen

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The dynamics of extended objects such as domain walls, domain bubbles, vortex structures, etc., can be described by their equations of motion associated with their effective mass and spring constant. Here we analytically derive the equations of motion for the polarization dynamics and elastodynamics for the structural responses of ferroelectric polar vortices, and theoretically extract their effective mass, spring constant, and mode frequencies. We demonstrate two subterahertz phonon modes and predicted their frequencies, both consistent with our recent experimental measurements and phase-field simulations. We show that elastic modulation of the energy function and spring constants leads to a condensation of a collective mode upon a second-order structural transition from symmetric to asymmetric vortices at a critical strain, analogous to the ferroelectric soft phonon mode at a ferroelectric transition. The present work offers a theoretical framework for predicting and manipulating the ultrafast collective dynamics of polar nanostructures.

Original languageEnglish (US)
Article numberL220103
JournalPhysical Review B
Issue number22
StatePublished - Jun 1 2021

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Condensation of collective polar vortex modes'. Together they form a unique fingerprint.

Cite this