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The Influence of Electron-Electron Interaction on RKKY Magnetic Coupling between Local Spins of Diluted Magnetic Semiconductor Quantum Dots

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Abstract

Regulated magnetic interactions in semiconductor nanometer structure have a strong application background in spin electronics and quantum information processing. This paper mainly studies the influence of electron interaction on the magnetic coupling between diluted magnetic semiconductor quantum dots embedded in semiconductors. Taking into account the interaction between electrons, we will calculate the RKKY Magnetic interaction between the local spins of two diluted magnetic semiconductor quantum dots embedded in the semiconductor applying the Keldysh Green’s function method. For the electronic interaction, we use the simple self-consistent mean-field approximation.

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References

  1. Black-Schaffer, A.M.: RKKY coupling in grapheme. Phys. Rev. B 81, 205416 (2010)

    Article  ADS  Google Scholar 

  2. Genkinn, G.M.: Dynamic Rudermian-Kittel-Kasuya-Yosida indirect interaction. Phys. Rev. B 55, 5631–5633 (1997)

    Article  ADS  Google Scholar 

  3. Gao, J., Chen, W., Xie, X.C., Zhang, F.-C.: In-plane noncollinear exchange coupling mediated by helical edge states in quantum spin Hall systems. Phys. Rev. B 80, 241302 (2009)

    Article  ADS  Google Scholar 

  4. Sobota, J.A., et al.: RKKY interactions in the regime of strong localization. Phys. Rev. B 76, 245106 (2007)

    Article  ADS  Google Scholar 

  5. Yang, M., Li, S.-S.: RKKY interaction between quantum dot spins tuned by the quantum dot level. Phys. Rev. B 74, 073402 (2006)

    Article  ADS  Google Scholar 

  6. Chesi, S., Loss, D.: RKKY interaction in a disordered two-dimensional electron gas with Rashba and Dresselhaus spin-orbit coupings josephson-coupled bose–einstein condensates. Phys. Rev. B 82, 165303 (2010)

    Article  ADS  Google Scholar 

  7. Keldysh, L.V: Diagram technique for nonequilibrium processes. Sov. Phys. 20, 1018 (1965)

    MathSciNet  Google Scholar 

  8. Moriya, T.: New mechanism of anisotropic superexchange interaction. Phys. Rev. Lett. 4, 228 (1960)

    Article  ADS  Google Scholar 

  9. Dzyaloshinsky, I.: A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics. J. Phys. Chem. Solids 4, 241 (1958)

    Article  ADS  Google Scholar 

  10. Schwabe, N.F., Elliott, R.J.: Rudermian-Kittel-Kasuya-Yosida interaction across a tunneling junction out of equilibrium. Phys. Rev. B 54, 12593 (1996)

    Article  Google Scholar 

  11. Wu, Y.-R., Wang, D., Lyu, P.: Rudermian-Kittel-Kasuya-Yosida interaction between diluted magnetic semiconductor quantum dots embedded in semiconductor. J. Appl. Physucs 112, 063905 (2012)

    Article  ADS  Google Scholar 

  12. Mahan, G.D.: Many-Particle Physics. Kluwer Acadamic/Plenum New York (2000)

Download references

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Correspondence to T. J. Gao.

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Sun, YQ., Gao, T.J. The Influence of Electron-Electron Interaction on RKKY Magnetic Coupling between Local Spins of Diluted Magnetic Semiconductor Quantum Dots. Int J Theor Phys 60, 143–154 (2021). https://doi.org/10.1007/s10773-020-04670-3

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  • DOI: https://doi.org/10.1007/s10773-020-04670-3

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