Terahertz dielectric response and coupled dynamics of ferroelectrics and multiferroics from effective Hamiltonian simulations
Dawei Wang, Jeevaka Weerasinghe, Abdullah Albarakati, and L. Bellaiche

TL;DR
This paper reviews the use of effective Hamiltonian and molecular dynamics simulations to study the terahertz dielectric response and coupled dynamics in ferroelectric and multiferroic materials, highlighting recent advances and future prospects.
Contribution
It provides a comprehensive overview of the technical development and application of combined effective Hamiltonian and molecular dynamics methods for perovskite materials.
Findings
Simulated various perovskites including BaTiO3 and BiFeO3
Gained insights into complex dynamical phenomena
Discovered potential for novel effects in ferroelectrics and multiferroics
Abstract
Ferroelectric and multiferroic materials form an important class of functional materials. Over the last twenty years, first-principles-based effective Hamiltonian approaches have been successfully developed to simulate these materials. In recent years, effective Hamiltonian approaches were further combined with molecular dynamics methods to investigate terahertz dynamical properties of various perovskites. With this combination, a variety of ferroelectric and multiferroic materials, including BaTiO_{3}, Ba(Sr,Ti)O_{3}, Pb(Zr,Ti)O_{3}, BiFeO_{3}, and SrTiO_{3} bulks and films have been simulated, which led to the understanding of complex phenomena and discovery of novel effects. In this review, we first provide technical details about effective Hamiltonians and molecular dynamics simulation. Then, we present applications of the combination of these two techniques to different…
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