Indirect interaction of impurity spins on the surface of topological insulators
https://doi.org/10.17586/2220-8054-2017-8-3-386-390
Abstract
In this work, a mathematical model to study the indirect interaction in topological insulators was constructed. Analysis of the model was carried out numerically. We have calculated the indirect exchange interaction in the film of a topological insulator, for example Bi2Te3, within the s–d model. The calculations showed that the magnetic ordering of the impurity spins varies periodically with increasing distance between atoms, asymptotically decreasing to zero. λ is a parameter associated with hexagonal distortion and is a component of the dispersion relation. The dependence of the constants of the effective exchange interaction upon the λ parameter is shown; this parameter characterizes the crystal lattice geometry for a topological insulator.
About the Authors
A. V. TenRussian Federation
Volgograd
M. B. Belonenko
Russian Federation
Volgograd
References
1. Lin H., Markiewicz R.S., Wray L.A., Fu L., Hasan M.Z., Bansil A. Single-Dirac-Cone Topological Surface States in the TlBiSe2 Class of Topological Semiconductors. Phys. Rev Lett., 2010, 105, P. 036404.
2. Fert A. The origin, development and future of spintronics. Physics-Uspekhi, 2008, 178, P. 1336.
3. Zutic I., Fabian J., Das Sarma S. Spintronics: Fundamentals and applications. Rev. Mod. Phys., 2004, 76, P. 323.
4. Gulyaev Yu.V., Zilbelman P.E., Panas A.I., Epstein E.M. Spintronics: exchange switching of ferromagnetic metallic junctions at a low current density. Physics-Uspekhi, 2009, 179, P. 359.
5. Belonenko M.B., Lebedev N.G., Pak A.V. Features of the indirect interaction in the doped bilayer graphene within the s–d-model. Physics of the Solid State, 2011, 53(8), P. 1604.
6. Belonenko M.B., Lebedev N.G., Pak A.V. Study indirect interaction in bilayer graphene quantum dots within the s–d-model, Applied Physics Letters, 2011, 37(15), P. 69.
7. Zhukov A.V., Bouffanais R., Pak A.V., Belonenko M.B. Study of the indirect exchange interaction in a strained graphene nanoribbon. Physica B, 2013, 419, P. 62–65.
8. Dugaev V.K., Litvinov V.I., Barnas J. Phys. Rev. B, Exchange interaction of magnetic impurities in graphene. 2006, 74, P. 224438.
9. Saeed Saremi. RKKY in half-filled bipartite lattices: Graphene as an example. Phys. Rev. B, 2007, 76, P. 184430.
10. Konobeeva N.N., Belonenko M.B., Zhukov A.V. Few-Cycle Optical Pulses in Thin Film of Topological Insulator with Taking into Account the Nonlinearity of Medium. Universal Journal of Physics and Application, 2013, 1(3), P. 232–235.
11. White R. Quantum theory of magnetism. Mir, M. 1988, 304 pp.
12. Lin H., Markiewicz R.S., Wray L.A., Fu L., Hasan M.Z., Bansil A. Physical Review Letter. Single-Dirac-Cone Topological Surface States in the TlBiSe2. Class of Topological Semiconductors, 2010, 105, P. 036404.
13. Reinthaler R.W., Hankiewicz E.M. Interplay of bulk and edge states in transport of two-dimensional topological insulators. Phys. Rev. B, 2012, 85, P. 165450.
14. Xing Ya., Zhang L., Wang J. Topological Anderson insulator phenomena. Phys. Rev. B, 2011, 84, P. 035110.
Review
For citations:
Ten A.V., Belonenko M.B. Indirect interaction of impurity spins on the surface of topological insulators. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(3):386-390. https://doi.org/10.17586/2220-8054-2017-8-3-386-390