Conversion between electron spin and microscopic atomic rotation

We theoretically investigate the microscopic mechanism of conversion between the electron spin and the microscopic local rotation of atoms in crystals. In phonon modes with angular momenta, the atoms microscopically rotate around their equilibrium positions in crystals. In a simple toy model with ph...

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Main Authors: Masato Hamada, Shuichi Murakami
Format: Article
Language:English
Published: American Physical Society 2020-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023275
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author Masato Hamada
Shuichi Murakami
author_facet Masato Hamada
Shuichi Murakami
author_sort Masato Hamada
collection DOAJ
description We theoretically investigate the microscopic mechanism of conversion between the electron spin and the microscopic local rotation of atoms in crystals. In phonon modes with angular momenta, the atoms microscopically rotate around their equilibrium positions in crystals. In a simple toy model with phonons, we calculate the spin expectation value by using the adiabatic series expansion. We show that the time-averaged spin magnetization is generated by the microscopic local rotation of atoms via the spin-orbit interaction. On the other hand, in the system with a simple vibration of atoms, time-averaged spin magnetization becomes zero due to the time-reversal symmetry. Moreover, the magnitude of the time-averaged spin magnetization depends on the inverse of the difference of instantaneous eigenenergy, and we show that it becomes smaller in band insulators with a larger gap.
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spelling doaj.art-6a1ac1b89c544ff390b5a534aa1550c72024-04-12T16:54:57ZengAmerican Physical SocietyPhysical Review Research2643-15642020-06-012202327510.1103/PhysRevResearch.2.023275Conversion between electron spin and microscopic atomic rotationMasato HamadaShuichi MurakamiWe theoretically investigate the microscopic mechanism of conversion between the electron spin and the microscopic local rotation of atoms in crystals. In phonon modes with angular momenta, the atoms microscopically rotate around their equilibrium positions in crystals. In a simple toy model with phonons, we calculate the spin expectation value by using the adiabatic series expansion. We show that the time-averaged spin magnetization is generated by the microscopic local rotation of atoms via the spin-orbit interaction. On the other hand, in the system with a simple vibration of atoms, time-averaged spin magnetization becomes zero due to the time-reversal symmetry. Moreover, the magnitude of the time-averaged spin magnetization depends on the inverse of the difference of instantaneous eigenenergy, and we show that it becomes smaller in band insulators with a larger gap.http://doi.org/10.1103/PhysRevResearch.2.023275
spellingShingle Masato Hamada
Shuichi Murakami
Conversion between electron spin and microscopic atomic rotation
Physical Review Research
title Conversion between electron spin and microscopic atomic rotation
title_full Conversion between electron spin and microscopic atomic rotation
title_fullStr Conversion between electron spin and microscopic atomic rotation
title_full_unstemmed Conversion between electron spin and microscopic atomic rotation
title_short Conversion between electron spin and microscopic atomic rotation
title_sort conversion between electron spin and microscopic atomic rotation
url http://doi.org/10.1103/PhysRevResearch.2.023275
work_keys_str_mv AT masatohamada conversionbetweenelectronspinandmicroscopicatomicrotation
AT shuichimurakami conversionbetweenelectronspinandmicroscopicatomicrotation