najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1134Research ArticleMATHEMATICSМАТЕМАТИКАCoulomb effects on the spin polarization of quantum ringManolescuA.

Reykjavik 

manoles@ru.isDadayC.

Reykjavik 

GudmundssonV.

Reykjavik 

School of Science and Engineering, Reykjavik UniversityIcelandSchool of Science and Engineering, Reykjavik University; Science Institute, University of IcelandIcelandScience Institute, University of IcelandRussian Federation201119082025232936Copyright © Manolescu A., Daday C., Gudmundsson V., 20252025Manolescu A., Daday C., Gudmundsson V.Manolescu A., Daday C., Gudmundsson V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1134

We consider electrons in a circular nanoring of zero width, in magnetic field, and with Rashba spin-orbit interaction. We include the Coulomb interaction in the the ”exact diagonalization” manner. The Coulomb interaction has strong effects on the spin polarization which may be totally different than for noninteracting electrons. Our current results include up to four electrons, but this number can easily be increased.

quantum ringspin-orbit interactionCoulomb interactionThis material was presented at the workshop Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems, WIAS, Berlin, February 4-5, 2011 (OptoTrans2011). We wish to thank again to the organizers for this opportunity. We are also thankful to Catalina Marinescu, Marian Nit ¸a, and Sigurdur Erlingsson for valuable discussions. This research was supported by the Icelandic Research Fund.ReferencesBychkov Y. A., Rashba E. I. Oscillatory effects and the magnetic susceptibility of carriers in inversion layers // J. Phys. C: Solid State Phys. — 1984. — V. 17. — P. 60396045.Bychkov Y. A., Rashba E. I. Oscillatory effects and the magnetic susceptibility of carriers in inversion layers // J. Phys. C: Solid State Phys. — 1984. — V. 17. — P. 60396045.Dresselhaus G. Spin-orbit coupling effects in zinc blende structures // Phys. Rev., II. Ser. — 1955. — V. 100. — P. 580–586.Dresselhaus G. Spin-orbit coupling effects in zinc blende structures // Phys. Rev., II. Ser. — 1955. — V. 100. — P. 580–586.Datta S., Das B. Electronic analog of the electro-optic modulator // Appl. Phys. Lett. — 1990. — V. 56. — P. 665.Datta S., Das B. Electronic analog of the electro-optic modulator // Appl. Phys. Lett. — 1990. — V. 56. — P. 665.Winkler R. Spin orbit coupling effects in two-dimensional electron and hole systems. — Berlin, Heidelberg, New York: Springer-Verlag, 2003. [Winkler R. Spin orbit coupling effects in two-dimensional electron and hole systems. — Berlin, Heidelberg, New York: Springer-Verlag, 2003. [Ihn T. Semiconductor nanostructures. Quantum states and electronic transport. — Oxford University Press, 2010.Ihn T. Semiconductor nanostructures. Quantum states and electronic transport. — Oxford University Press, 2010.Rashba E. I. Spin-orbit coupling and spin transport // arXiv cond-mat, Vol. 0507007v2:5, 2005.Rashba E. I. Spin-orbit coupling and spin transport // arXiv cond-mat, Vol. 0507007v2:5, 2005.Molnar B., Peeters F. M., Vasilopoulos P. Spin-dependent (magneto)transport through a ring due to spin-orbit interaction // Phys. Rev. B. — 2004. — V. 69. — 155335.Molnar B., Peeters F. M., Vasilopoulos P. Spin-dependent (magneto)transport through a ring due to spin-orbit interaction // Phys. Rev. B. — 2004. — V. 69. — 155335.Splettstoesser J., Governale M., Z¨ ulicke U. Persistent current in ballistic mesoscopic rings with Rashba spinorbit coupling // Phys. Rev. B. — 2003. — V. 68. — 165341.Splettstoesser J., Governale M., Z¨ ulicke U. Persistent current in ballistic mesoscopic rings with Rashba spinorbit coupling // Phys. Rev. B. — 2003. — V. 68. — 165341.Souma S., Nikolici B. K. Modulating unpolarized cu ´ rrent in quantum spintronics: Visibility of spin-interference effects in multichannel Aharonov-Casher mesoscopic rings // Phys. Rev. B. — 2004. — V. 70. — 195346.Souma S., Nikolici B. K. Modulating unpolarized cu ´ rrent in quantum spintronics: Visibility of spin-interference effects in multichannel Aharonov-Casher mesoscopic rings // Phys. Rev. B. — 2004. — V. 70. — 195346.Sheng J. S., Chang K. Spin states and persistent currents in mesoscopic rings: Spin-orbit interactions // Phys. Rev. B. — 2006. — V. 74. — 235315.Sheng J. S., Chang K. Spin states and persistent currents in mesoscopic rings: Spin-orbit interactions // Phys. Rev. B. — 2006. — V. 74. — 235315.Liu Y., Cheng F., Li X. J., Peeters F. M., Chang K. Tuning of the two electron states in quantum rings through the spin-orbit interaction // Phys. Rev. B. — 2010. — V. 82. — 045312.Liu Y., Cheng F., Li X. J., Peeters F. M., Chang K. Tuning of the two electron states in quantum rings through the spin-orbit interaction // Phys. Rev. B. — 2010. — V. 82. — 045312.Nowak M. P., Szafran B. Spin-orbit coupling effects in two-dimensional circular quantum rings: Elliptical deformation of confined electron density // Phys. Rev. B. — 2009. — V. 80. — 195319.Nowak M. P., Szafran B. Spin-orbit coupling effects in two-dimensional circular quantum rings: Elliptical deformation of confined electron density // Phys. Rev. B. — 2009. — V. 80. — 195319.Schliemann J., Carlos Egues J., Loss D. Nonballistic spin-field-effect transistor // Phys. Rev. Lett. — 2003. — V. 90. — 146801.Schliemann J., Carlos Egues J., Loss D. Nonballistic spin-field-effect transistor // Phys. Rev. Lett. — 2003. — V. 90. — 146801.Meijer F. E., Morpurgo A. F., Klapwijk T. M. One-dimensional ring in the presence of Rashba spin-orbit interaction: Derivation of the correct Hamiltonian // Phys. Rev. B. — 2002. — V. 66. — 033107.Meijer F. E., Morpurgo A. F., Klapwijk T. M. One-dimensional ring in the presence of Rashba spin-orbit interaction: Derivation of the correct Hamiltonian // Phys. Rev. B. — 2002. — V. 66. — 033107.

The authors declare that there are no conflicts of interest present.