Skip to main content
SpringerLink
Log in

Logical XOR gate response in a quantum interferometer: A spin dependent transport

  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

We examine spin dependent transport in a quantum interferometer composed of magnetic atomic sites based on transfer matrix formalism. The interferometer, threaded by a magnetic flux ϕ, is symmetrically attached to two semi-infinite one-dimensional (1D) non-magnetic electrodes, namely, source and drain. A simple tight-binding model is used to describe the bridge system, and, here we address numerically the conductance-energy and current-voltage characteristics as functions of the interferometer-to-electrode coupling strength, magnetic flux and the orientation of local the magnetic moments associated with each atomic site. Quite interestingly it is observed that, for ϕ = ϕ 0/2 (ϕ 0 = ch/e, the elementary flux-quantum) a logical XOR gate like response is observed, depending on the orientation of the local magnetic moments associated with the magnetic atoms in the upper and lower arms of the interferometer, and it can be changed by an externally applied gate magnetic field. This aspect may be utilized in designing a spin based electronic logic gate.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Ball, Nature (London) 404, 918 (2000)

    Article  Google Scholar 

  2. S. Datta, Electronic transport in mesoscopic systems (Cambridge University Press, Cambridge, 1997)

  3. S.A. Wolf, D.D. Awschalom, R.A. Buhrman, J.M. Daughton, S. von Molnar, M.L. Roukes, A.Y. Chtchelkanova, D.M. Treger, Science 294, 1488 (2001)

    Article  ADS  Google Scholar 

  4. J. Stöhr, H.C. Siegmann, Magnetism- From Fundamental to Nanoscale Dynamics (Springer, 2006)

  5. J. Daughton, J. Appl. Phys. 81, 3758 (1997)

    Article  ADS  Google Scholar 

  6. A.A. Shokri, A. Saffarzadeh, Eur. Phys. J. B 42, 187 (2004)

    Article  ADS  Google Scholar 

  7. A.A. Shokri, A. Saffarzadeh, J. Phys.: Condens. Matter 16, 4455 (2004)

    Article  ADS  Google Scholar 

  8. M. Mardaani, K. Esfarjani, Physica E 25, 119 (2004)

    Article  ADS  Google Scholar 

  9. M. Mardaani, A.A. Shokri, K. Esfarjani, Physica E 28, 150 (2005)

    Article  ADS  Google Scholar 

  10. A.A. Shokri, M. Mardaani, K. Esfarjani, Physica E 27, 325 (2005)

    Article  ADS  Google Scholar 

  11. A.A. Shokri, M. Mardaani, Solid State Commun. 137, 53 (2006)

    Article  ADS  Google Scholar 

  12. U. Gerland, J. von Delft, T.A. Costi, Y. Oreg, Phys. Rev. Lett. 84, 3710 (2000)

    Article  ADS  Google Scholar 

  13. D. Goldnaber-Gordan, H. Shtrikman, D. Mahalu, D. Abosch-Magder, U. Meirav, M.A. Kastner, Nature (London) 391, 156 (1998)

    Article  ADS  Google Scholar 

  14. S.M. Cronenwett, T.H. Oosterkamp, L.P. Kouwenhoven, Science 281, 5 (1998)

    Article  Google Scholar 

  15. H. Yu, J.-Q. Liang, Phys. Rev. B 72, 075351 (2005)

    Article  ADS  Google Scholar 

  16. J. König, Y. Gefen, Phys. Rev. B 65, 045316 (2002)

    Article  ADS  Google Scholar 

  17. F. Chi, S.-S. Li, J. Appl. Phys. 100, 113703 (2006) 1pt

    Article  ADS  Google Scholar 

  18. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, Oxford, 2002)

  19. S. Bellucci, P. Onorato, Phys. Rev. B 78, 235312 (2008)

    Article  ADS  Google Scholar 

  20. S. Bellucci, P. Onorato, J. Phys.: Condens. Matter 19, 395020 (2007)

    Article  Google Scholar 

  21. P. Földi, O. Kálmán, M.G. Benedict, F.M. Peeters, Nano Lett. 8, 2556 (2008)1pt

    Article  ADS  Google Scholar 

  22. P. Földi, O. Kálmán, F.M. Peeters, Phys. Rev. B 80, 125324 (2009)

    Article  ADS  Google Scholar 

  23. B. Molnár, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 72, 075330 (2005)

    Article  ADS  Google Scholar 

  24. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. G. Kirczenow, Phys. Rev. B 72, 075351 (2005)

    Article  Google Scholar 

  26. P.A. Lee, D.S. Fisher, Phys. Rev. Lett. 47, 882 (1981)1pt

    Article  ADS  MathSciNet  Google Scholar 

  27. Q. Sun, J. Wang, H. Guo, Phys. Rev. B 71, 165310 (2005)1pt

    Article  ADS  Google Scholar 

  28. S.K. Maiti, Solid State Commun. 149, 1623 (2009)

    Article  ADS  Google Scholar 

  29. J. Heinrichs, J. Phys.: Condens. Matter 12, 5565 (2000)

    Article  ADS  Google Scholar 

  30. S. Chattopadhyah, A. Chakrabarti, J. Phys.: Condens. Matter 16, 313 (2004)

    Article  ADS  Google Scholar 

  31. R. Landauer, IBM J. Res. Dev. 32, 306 (1988)

    Article  MathSciNet  Google Scholar 

  32. M. Büttiker, IBM J. Res. Dev. 32, 317 (1988)

    Article  Google Scholar 

  33. A. Ghosh, S.N. Karmakar, Phys. Rev. B 58, 2586 (1998)

    Article  ADS  Google Scholar 

  34. C.E.T. Goncalves da Silva, B. Koiller, Solid State Commun. 40, 215 (1981)

    Article  ADS  Google Scholar 

  35. Z.-G. Zhu, G. Su, B. Jin, Q.-R. Zheng, Phys. Lett. A 306, 249 (2003)

    Article  ADS  Google Scholar 

  36. X. Qian, X. Gu, Y. Ji, Rev. Sci. Instrum. 81, 106106 (2010)

    Article  ADS  Google Scholar 

  37. O. Hod, R. Baer, E. Rabani, J. Am. Chem. Soc. 127, 1648 (2005)

    Article  Google Scholar 

  38. C. Texier, P. Delplace, G. Montambaux, Phys. Rev. B 80, 205413 (2009)

    Article  ADS  Google Scholar 

  39. O. Hod, R. Baer, E. Rabani, Phys. Rev. Lett. 97, 266803 (2006)

    Article  ADS  Google Scholar 

  40. P. Földi, B. Molnar, M.G. Benedict, F.M. Peeters, Phys. Rev. B 71, 033309 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Sector-I, Block-AF, Bidhannagar, 700064, Kolkata, India

    Moumita Dey, Santanu K. Maiti & S. N. Karmakar

  2. Department of Physics, Narasinha Dutt College, 129 Belilious Road, 711101, Howrah, India

    Santanu K. Maiti

Authors
  1. Moumita Dey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Santanu K. Maiti
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. N. Karmakar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Santanu K. Maiti.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dey, M., Maiti, S. & Karmakar, S. Logical XOR gate response in a quantum interferometer: A spin dependent transport. Eur. Phys. J. B 80, 105–114 (2011). https://doi.org/10.1140/epjb/e2011-10931-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2011-10931-6

Keywords

Search

Navigation