Skip to main content
Log in

Coherent control of the spin current through a quantum dot

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

Abstract

Within the weak-coupling regime the spin current through a quantum dot system is calculated using a quantum master equation approach which includes a sum over Matsubara terms. To be able to efficiently calculate, also at low temperatures, the time evolution of the reduced density matrix a high-temperature approximation was derived which proves to be rather accurate in comparison to the exact results. In the present model it is assumed that the energy levels of the dot are split by a constant magnetic field. An additional external (laser) field is used to control the currents of the two spin polarizations. This is either done using the phenomenon of coherent destruction of tunneling or optimal control theory. Scenarios are studied in which the spin current is reversed while the charge current is kept constant.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Google Scholar 

  • F. Jedema, A. Filip, B. van Wees, Nature 410, 345 (2001)

  • R. Fiederling, M. Keim, G. Reuscher, W. Ossau, G. Schmidt, A. Waag, L. Molenkamp, Nature 402, 787 (1999)

    Google Scholar 

  • E.R. Mucciolo, C. Chamon, C.M. Marcus, Phys. Rev. Lett. 89, 146802 (2002)

    Google Scholar 

  • T. Aono, Phys. Rev. B 67, 155303 (2003)

    Google Scholar 

  • E. Cota, R. Aguado, C. Creffield, G. Platero, Nanotechnology 14, 152 (2003)

  • E. Cota, R. Aguado, G. Platero, Phys. Rev. Lett. 94, 107202 (2005)

    Google Scholar 

  • I. Zutic, J. Fabian, S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004)

  • H.A. Engel, D. Loss, Phys. Rev. B 65, 195321 (2002)

    Google Scholar 

  • B.L. Hazelzet, M.R. Wegewijs, T.H. Stoof, Y.V. Nazarov, Phys. Rev. B 63, 165313 (2001)

    Google Scholar 

  • G. Prinz, K. Hathaway, Phys. Today 48, 24 (1995)

    Google Scholar 

  • D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)

    Google Scholar 

  • D. DiVincenzo, Science 270, 255 (1995)

  • D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)

    Google Scholar 

  • J. Egues, Science 309, 565 (2005)

  • T. Brandes, Phys. Rep. 408, 315 (2005)

    Google Scholar 

  • C. Meyer, J.M. Elzerman, L.P. Kouwenhoven, Nano Lett. 7, 295 (2007)

    Google Scholar 

  • F.M. Souza, Phys. Rev. B 76, 205315 (2007)

    Google Scholar 

  • F.M. Souza, S.A. Leao, R.M. Gester, A.P. Jauho, Phys. Rev. B 76, 125318 (2007)

    Google Scholar 

  • V. Moldoveanu, V. Gudmundsson, A. Manolescu, Phys. Rev. B 76, 085330 (2007)

    Google Scholar 

  • V. Gudmundsson, G. Thorgilsson, C.S. Tang, V. Moldoveanu, Phys. Rev. B 77, 035329 (2008)

    Google Scholar 

  • G. Platero, R. Aguado, Phys. Rep. 395, 1 (2004)

    Google Scholar 

  • R. Sanchez, E. Cota, R. Aguado, G. Platero, Physica E 34, 405 (2006)

    Google Scholar 

  • G. Stefanucci, E. Perfetto, M. Cini, Phys. Rev. B 78, 075425 (2008)

    Google Scholar 

  • B.D. Gerardot, D. Brunner, P.A. Dalgarno, P. Ohberg, S. Seidl, M. Kroner, K. Karrai, N.G. Stoltz, P.M. Petroff, R.J. Warburton, Nature 451, 441 (2008)

    Google Scholar 

  • V. May, O. Kühn, Nano Lett. 8, 1095 (2008)

    Google Scholar 

  • Y. Meir, N.S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992)

    Google Scholar 

  • P. Cui, X.Q. Li, J. Shao, Y.J. Yan, Phys. Lett. A 357, 449 (2006)

    Google Scholar 

  • X.Q. Li, J.Y. Luo, Y.G. Yang, P. Cui, Y.J. Yan, Phys. Rev. B 71, 205304 (2005)

    Google Scholar 

  • T. Brandes, R. Aguado, G. Platero, Phys. Rev. B 69, 205326 (2004)

    Google Scholar 

  • S. Welack, M. Schreiber, U. Kleinekathöfer, J. Chem. Phys. 124, 044712 (2006)

    Google Scholar 

  • S. Welack, M. Esposito, U. Harbola, S. Mukamel, Phys. Rev. B 77, 195315 (2008)

    Google Scholar 

  • U. Kleinekathöfer, G.Q. Li, S. Welack, M. Schreiber, Europhys. Lett. 75, 139 (2006)

    Google Scholar 

  • G.Q. Li, S. Welack, M. Schreiber, U. Kleinekathöfer, Phys. Rev. B 77, 075321 (2008)

    Google Scholar 

  • C. Meier, D.J. Tannor, J. Chem. Phys. 111, 3365 (1999)

    Google Scholar 

  • J. Lehmann, S. Camalet, S. Kohler, P. Hänggi, Chem. Phys. Lett. 368, 282 (2003)

    Google Scholar 

  • S. Kohler, J. Lehmann, P. Hänggi, Phys. Rep. 406, 379 (2005)

    Google Scholar 

  • M. Galperin, A. Nitzan, Phys. Rev. Lett. 95, 206802 (2005)

    Google Scholar 

  • B.D. Fainberg, M. Jouravlev, A. Nitzan, Phys. Rev. B 76, 245329 (2007)

    Google Scholar 

  • G.Q. Li, M. Schreiber, U. Kleinekathöfer, EPL 79, 27006 (2007)

  • S. Kohler, P. Hänggi, Nature Nanotech. 2, 675 (2007)

  • G.Q. Li, M. Schreiber, U. Kleinekathöfer, New J. Phys. 10, 085005 (2008)

    Google Scholar 

  • S.A. Rice, M. Zhao, Optical Control of Molecular Dynamics (Wiley, New York, 2000)

  • M. Shapiro, P. Brumer, Phys. Rep. 66, 859 (2003)

    Google Scholar 

  • T. Brixner, G. Gerber, Chem. Phys. Chem. 4, 418 (2003)

    Google Scholar 

  • S. Lipinski, B. Bulka, D. Krychowski, Mater. Sci. Poland 22, 513 (2004)

    Google Scholar 

  • J. Lehmann, S. Kohler, V. May, P. Hänggi, J. Chem. Phys. 121, 2278 (2004)

    Google Scholar 

  • U. Kleinekathöfer, G.Q. Li, S. Welack, M. Schreiber, Phys. Stat. Sol. (b) 243, 3775 (2006)

    Google Scholar 

  • A. Kaiser, V. May, J. Chem. Phys. 121, 2528 (2004)

    Google Scholar 

  • S. Pezeshki, M. Schreiber, U. Kleinekathöfer, Phys. Chem. Chem. Phys. 10, 2058 (2008)

  • C.P. Koch, J.P. Palao, R. Kosloff, F. Masnou-Seeuws, Phys. Rev. A 70, 013402 (2004)

    Google Scholar 

  • T.H. Oosterkamp, Nature 395, 873 (1998)

  • J.R. Petta, A.C. Johnson, C.M. Marcus, M.P. Hanson, A.C. Gossard, Phys. Rev. Lett. 93, 186802 (2004)

    Google Scholar 

  • J.R. Petta, S.K. Slater, D.C. Ralph, Phys. Rev. Lett. 93, 136601 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to U. Kleinekathöfer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Amin, A., Li, G., Phillips, A. et al. Coherent control of the spin current through a quantum dot. Eur. Phys. J. B 68, 103–109 (2009). https://doi.org/10.1140/epjb/e2009-00075-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2009-00075-9

PACS

Navigation