Berry Phase of Phonons and Thermal Hall Effect in Nonmagnetic Insulators

A mechanism for the phonon Hall effect (PHE) in nonmagnetic 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 discuss that the PHE al...

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Vydané v:Physical review letters Ročník 123; číslo 25; s. 255901
Hlavní autori: Saito, Takuma, Misaki, Kou, Ishizuka, Hiroaki, Nagaosa, Naoto
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: United States American Physical Society 20.12.2019
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ISSN:0031-9007, 1079-7114, 1079-7114
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Shrnutí:A mechanism for the phonon Hall effect (PHE) in nonmagnetic 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 discuss that the PHE also occurs in nonmagnetic band insulators subject to the magnetic field. We find that a correction to the Born-Oppenheimer approximation gives rise to a Raman-type interaction between the magnetic field and the phonons; this interaction gives rise to the Berry curvature of a phonon band. This Berry curvature results in the finite thermal Hall conductivity κ_{H} in nonmagnetic band insulators. The value of κ_{H} is calculated for square and honeycomb lattices. The order of the magnitude estimation for κ_{H} is given for Si at room temperature.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.123.255901