Berry phase of phonons and thermal Hall effect in nonmagnetic insulators

Autor: Saito, Takuma, Misaki, Kou, Ishizuka, Hiroaki, Nagaosa, Naoto
Rok vydání: 2019
Předmět:
Zdroj: Phys. Rev. Lett. 123, 255901 (2019)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.123.255901
Popis: A mechanism for phonon Hall effect (PHE) in non-magnetic insulators under an external magnetic field is theoretically studied. PHE is known in (para)magnetic compounds, where the magnetic moments and spin-orbit interaction play an essential role. In sharp contrast, we here show that a non-zero Berry curvature of acoustic phonons is induced by an external magnetic field due to the correction to the adiabatic Born-Oppenheimer approximation. This results in the finite thermal Hall conductivity $\kappa_H$ in nonmagnetic band insulators. Our estimate of $\kappa_H$ for a simple model gives $\kappa_H \sim 1.0\times 10^{-5} $[W/Km] at $ B=10 $[T] and $ T=150 $[K].
Comment: 5 pages, 2 figures
Databáze: arXiv