Optical phonon contribution to the thermal conductivity of a quantum paraelectric

Abstract

Motivated by recent experimental findings, we study the contribution of a quantum critical optical phonon branch to the thermal conductivity of a paraelectric system. We consider the proximity of the optical phonon branch to transverse acoustic phonon branch and calculate its contribution to the thermal conductivity within the Kubo formalism. We find a low temperature power law dependence of the thermal conductivity as $T^{\alpha }$, with $1<\alpha <2$, (lower than $T^3$ behavior) due to optical phonons near the quantum critical point. This result is in accord with the experimental findings and indicates the importance of quantum fluctuations in the thermal conduction in these materials.

arXiv comment9 pages, 8 figures

References in corpus (19)

• Terahertz-Field-Induced Ferroelectricity in Quantum Paraelectric SrTiO${}_3$
• Quantum criticality in ferroelectrics
• Thermal transport and phonon hydrodynamics in strontium titanate
• Phonon thermal Hall effect in strontium titanate
• Multiferroic Quantum Criticality
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Universal behavior of the thermal Hall conductivity
• Quantum Paraelectricity in the Kitaev Quantum-Spin-Liquid Candidates H${}_3$LiIr${}_2$O${}_6$ and D${}_3$LiIr${}_2$O${}_6$
• Sizeable suppression of thermal Hall effect upon isotopic substitution in strontium titanate
• Thermoelectric transport near pair breaking quantum phase transition out of d-wave superconductivity
• Theory of quantum paraelectrics and the metaelectric transition
• Pressure dependence of ferroelectric quantum critical fluctuations
• Fluctuations and Criticality in Quantum Paraelectrics
• Quantum critical behavior of a magnetic quantum paraelectric
• Hidden fluctuations close to a quantum bicritical point
• Thermal Magnetic Fluctuations of a Ferroelectric Quantum Critical Point
• Effects of Strain coupling and Marginal dimensionality in the nature of phase transition in Quantum paraelectrics
• On the possibility of mixed phases in disordered quantum paraelectrics

Cited by in corpus (1)

• Phonon drag thermal Hall effect in metallic strontium titanate