Spin resonance and spin fluctuations in a quantum wire
This is a review of theoretical works on spin resonance in a quantum wire associated with the spin-orbit interaction. We demonstrate that the spin-orbit induced internal “magnetic field” leads to a narrow spin-flip resonance at low temperatures in the absence of an applied magnetic field. An applied...
Saved in:
| Published in: | Физика низких температур |
|---|---|
| Date: | 2017 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/129371 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spin resonance and spin fluctuations in a quantum wire / V.L. Pokrovsky // Физика низких температур. — 2017. — Т. 43, № 2. — С. 259-282. — Бібліогр.: 57 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862646719099961344 |
|---|---|
| author | Pokrovsky, V.L. |
| author_facet | Pokrovsky, V.L. |
| citation_txt | Spin resonance and spin fluctuations in a quantum wire / V.L. Pokrovsky // Физика низких температур. — 2017. — Т. 43, № 2. — С. 259-282. — Бібліогр.: 57 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | This is a review of theoretical works on spin resonance in a quantum wire associated with the spin-orbit interaction. We demonstrate that the spin-orbit induced internal “magnetic field” leads to a narrow spin-flip resonance at low temperatures in the absence of an applied magnetic field. An applied dc magnetic field perpendicular to and small compared with the spin-orbit field enhances the resonance absorption by several orders of magnitude. The component of applied field parallel to the spin-orbit field separates the resonance frequencies of right and left movers and enables a linearly polarized ac electric field to produce a dynamic magnetization as well as electric and spin currents. We start with a simple model of noninteracting electrons and then consider the interaction that is not weak in 1 d electron system. We show that electron spin resonance in the spin-orbit field persists in the Luttinger liquid. The interaction produces an additional singularity (cusp) in the spin-flip channel associated with the plasma oscillation. As it was shown earlier by Starykh and his coworkers, the interacting 1 d electron system in the external field with sufficiently large parallel component becomes unstable with respect to the appearance of a spin-density wave. This instability suppresses the spin resonance. The observation of the electron spin resonance in a thin wires requires low temperature and high intensity of electromagnetic field in the terahertz diapason. The experiment satisfying these two requirements is possible but rather difficult. An alternative approach that does not require strong ac field is to study two-time correlations of the total spin of the wire with an optical method developed by Crooker and coworkers. We developed theory of such correlations. We prove that the correlation of the total spin component parallel to the internal magnetic field is dominant in systems with the developed spin-density waves but it vanishes in Luttinger liquid. Thus, the measurement of spin correlations is a diagnostic tool to distinguish between the two states of electronic liquid in the quantum wire.
|
| first_indexed | 2025-12-01T11:27:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-129371 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-01T11:27:59Z |
| publishDate | 2017 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Pokrovsky, V.L. 2018-01-19T14:20:10Z 2018-01-19T14:20:10Z 2017 Spin resonance and spin fluctuations in a quantum wire / V.L. Pokrovsky // Физика низких температур. — 2017. — Т. 43, № 2. — С. 259-282. — Бібліогр.: 57 назв. — англ. 0132-6414 PACS: 73.21.Hb, 76.20.+q, 71.70.Ej https://nasplib.isofts.kiev.ua/handle/123456789/129371 This is a review of theoretical works on spin resonance in a quantum wire associated with the spin-orbit interaction. We demonstrate that the spin-orbit induced internal “magnetic field” leads to a narrow spin-flip resonance at low temperatures in the absence of an applied magnetic field. An applied dc magnetic field perpendicular to and small compared with the spin-orbit field enhances the resonance absorption by several orders of magnitude. The component of applied field parallel to the spin-orbit field separates the resonance frequencies of right and left movers and enables a linearly polarized ac electric field to produce a dynamic magnetization as well as electric and spin currents. We start with a simple model of noninteracting electrons and then consider the interaction that is not weak in 1 d electron system. We show that electron spin resonance in the spin-orbit field persists in the Luttinger liquid. The interaction produces an additional singularity (cusp) in the spin-flip channel associated with the plasma oscillation. As it was shown earlier by Starykh and his coworkers, the interacting 1 d electron system in the external field with sufficiently large parallel component becomes unstable with respect to the appearance of a spin-density wave. This instability suppresses the spin resonance. The observation of the electron spin resonance in a thin wires requires low temperature and high intensity of electromagnetic field in the terahertz diapason. The experiment satisfying these two requirements is possible but rather difficult. An alternative approach that does not require strong ac field is to study two-time correlations of the total spin of the wire with an optical method developed by Crooker and coworkers. We developed theory of such correlations. We prove that the correlation of the total spin component parallel to the internal magnetic field is dominant in systems with the developed spin-density waves but it vanishes in Luttinger liquid. Thus, the measurement of spin correlations is a diagnostic tool to distinguish between the two states of electronic liquid in the quantum wire. I am indebted to the coauthors of publications on which
 this review is based Artem Abanov, Wayne Saslow, Peng
 Zhu, Oleg Tretyakov, Konstantin Tikhonov and Chen Sun.
 My thanks are due to A. Finkelstein, L. Glazman, M. Khodas,
 J. Kono, O. Starykh and A. Tsvelik for enlightening discussions.
 My special thanks is to Chen Sun for his invaluable
 help in the preparation of the manuscript. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К 100-летию со дня рождения И.М. Лифшица Spin resonance and spin fluctuations in a quantum wire Article published earlier |
| spellingShingle | Spin resonance and spin fluctuations in a quantum wire Pokrovsky, V.L. К 100-летию со дня рождения И.М. Лифшица |
| title | Spin resonance and spin fluctuations in a quantum wire |
| title_full | Spin resonance and spin fluctuations in a quantum wire |
| title_fullStr | Spin resonance and spin fluctuations in a quantum wire |
| title_full_unstemmed | Spin resonance and spin fluctuations in a quantum wire |
| title_short | Spin resonance and spin fluctuations in a quantum wire |
| title_sort | spin resonance and spin fluctuations in a quantum wire |
| topic | К 100-летию со дня рождения И.М. Лифшица |
| topic_facet | К 100-летию со дня рождения И.М. Лифшица |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/129371 |
| work_keys_str_mv | AT pokrovskyvl spinresonanceandspinfluctuationsinaquantumwire |