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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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American Physical Society
2020-06-01
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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. |
first_indexed | 2024-04-24T10:25:55Z |
format | Article |
id | doaj.art-6a1ac1b89c544ff390b5a534aa1550c7 |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:25:55Z |
publishDate | 2020-06-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
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 |