Ya.V. Turkin – Post-graduate Student, Department «Electronic Instruments and Devices», Yuri Gagarin State Technical University of Saratov
E-mail: turkin.yaroslav@gmail.com
P.V. Kuptsov – Dr.Sc.(Phys.-Math.), Professor, Department «Instrumentation Engineering», Yuri Gagarin State Technical University of Saratov
E-mail: p.kuptsov@rambler.ru
Maxwell equations for the electromagnetic fields coupled with the spin-polarized electron gas have been developed from the variation of the functional path integral. Additional terms in Maxwell equations depend on magnitude and type of the spin-orbit coupling of a two-dimensional electron gas. It was shown that additional terms appear in Ampere law in the presence of spin-polarized electron gas with spin-orbit coupling. This terms act like an effective electrical current density and depend on the magnitude and type of spinorbit coupling and on the value of spin density.
- Qi X., Hudges T., Zhang Shou-Cheng. Topological field theory of time-reversal invariant insulators // Phys. Rev. B. 2009. V. 78. № 19−15. P. 195424.
- Okada Y., Madhavan V. Topological insulators: Plasmons at the surface // Nature nanotechnology. 2013. V. 8. P. 541−542.
- Cheng R., Xiao D., Brataas A. Terahertz Antiferromagnetic Spin Hall Nano-Oscillator // Phys. Rev. Lett. 2016. V. 116. № 20. P. 207603.
- Efimkin D.K., Lozovik Yu.E., Sokolik A.A. Spin-plasmons in topological insulator // Journal of Magnetism and Magnetic Materials. 2012. V. 324. № 21. P. 3610−3612.
- Berche B., Medina E., Lopez A. Spin superfluidity and spin-orbit gauge symmetry fixing // European physics letters. 2012. V. 97. P. 67007.
- Manchon A., Koo H.C., Nitta J., Frolov S.M. New perspectives for Rashba spin-orbit coupling // Nature materials. 2015. V. 14. P. 871−882.
- Dresselhaus G. Spin-Orbit Coupling Effects in Zinc Blende Semiconductors // Phys. Rev. 1955. V. 100. № 2. P. 580−586.
- Altland A., Simmons B. Condensed Matter Field Theory. New York. Cambridge university press. 2010. 785 p.
- Peskin M.E., Shryoder D.V. Vvedenie v kvantovuyu teoriyu polya. M.-Izhevsk: Regulyarnaya i xaoticheskaya dinamika. 2001. 784 s.
- Negele J.W., Orland H. Quantum Many-Particle Systems. New York. 1998. Westview press. 474 p.
- Lopez A., Fradkin E. Fractional quantum Hall effect and Chern-Simons gauge theories // Phys. Rev. B. 1991. V. 44. № 10. P. 5246−5262.
- Zi E'. Kvantovaya teoriya polya v dvux slovax. M.-Izhevsk: Regulyarnaya i xaoticheskaya dinamika. 2009. 632 s.