Enhanced thermal Hall effect in nearly ferroelectric insulators

Abstract

In the context of recent experimental observations of an unexpectedly large thermal Hall conductivity, ${\kappa }_H$, in insulating $\mathrm{L}{\mathrm{a}}_2\mathrm{Cu}{\mathrm{O}}_4$ (LCO) and $\mathrm{SrTi}{\mathrm{O}}_3$ (STO), we theoretically explore conditions under which acoustic phonons can give rise to such a large ${\kappa }_H$. Both the intrinsic and extrinsic contributions to ${\kappa }_H$ are large in proportion to the dielectric constant, $\epsilon$, and the flexoelectric coupling, $F$. While the intrinsic contribution is still orders of magnitude smaller than the observed effect, an extrinsic contribution proportional to the phonon mean free path appears likely to account for the observations, at least in STO. We predict a larger intrinsic ${\kappa }_H$ in certain insulating perovskites.

arXiv comment6 pages main text + 7 pages supplemental material, Published version

References in corpus (15)

• Anomalous Hall effect
• Strain gradient induced polarization in SrTiO3 single crystals
• Quantum criticality in ferroelectrics
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Energy Magnetization and Thermal Hall Effect
• Berry Curvature and Phonon Hall Effect
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Thermal transport and phonon hydrodynamics in strontium titanate
• Phonon thermal Hall effect in strontium titanate
• Superconductivity at very low density: the case of strontium titanate
• Enhanced thermal Hall effect in the square-lattice Néel state
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Noncommutative quantum mechanics and skew scattering in ferromagnetic metals
• The thermal Hall conductance of two doped symmetry-breaking topological insulators

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