Phonon soft modes and para- to ferroelectric phase transitions

Abstract

In this special issue of Physica A in memory of Professor Dietrich Stauffer, I first recall my impression on him while being his postdoc for a year at HLRZ. In the following scientific part, I discuss the theory of soft phonons with quartic nonlinear interactions. This is applied to the cubic crystal BaTiO${}_3$ for phase transition from para- to ferroelectric phase.

10 pages, 2 figures

References in corpus (5)

• Second order structural phase transitions, free energy curvature, and temperature-dependent anharmonic phonons in the self-consistent harmonic approximation: theory and stochastic implementation
• Atomistic Description for Temperature-Driven Phase Transitions in BaTiO${}_3$
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Quantum thermal transport through anharmonic systems: A self-consistent approach
• Current-induced phonon Hall effect

Cited by in corpus (1)

• Phonon Hall effect with first-principles calculations