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Detecting a true quantum pump effect

  • Mesoscopic Physics
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The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

Even though quantum pumping is a very promising field, it has unfortunately not been unambiguously experimentally detected. The reason being that in the experiments the rectification effect overshadows the pumped current. One of the better known ways to detect it is by using the magnetic field symmetry properties of the rectified and pumped currents. The rectified currents are symmetric with respect to magnetic field reversal while the pumped currents do not possess any definite symmetry with respect to field reversal. This feature has been exploited in some recent works. In this work we look beyond this magnetic field symmetry properties and provide examples wherein the nature or magnitudes of the pumped and rectified currents are exactly opposite enabling an effective distinction between the two.

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References

  • B. Altshuler, L.I. Glazman, Science 283, 1864 (1999)

    Article  Google Scholar 

  • G.B. Lubkin, Physics Today 52, 19 (1999)

    ADS  Google Scholar 

  • D.J. Thouless, Phys. Rev. B 27, 6083 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  • Q. Niu, Phys. Rev. B 34, 5093 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  • M. Buttiker, H. Thomas, A. Pretre, Z. Phys. B: Condens. Matter 94, 133 (1994)

    Article  Google Scholar 

  • P.W. Brouwer, Phys. Rev. B, 58, R10135 (1998)

  • M. Moskalets, M. Büttiker, Phys. Rev. B 73, 125315 (2006)

    Article  ADS  Google Scholar 

  • F. Zhou, B.J. Spivak, B. Altshuler, Phys. Rev. Lett. 82, 608 (1999)

    Article  ADS  Google Scholar 

  • M. Moskalets, M. Buttiker, Phys. Rev. B 72, 035324 (2005); e-print arXiv:cond-mat/0502106

    Article  ADS  Google Scholar 

  • P.W. Brouwer, Phys. Rev. B 63, 121303(R) (2001)

    Article  ADS  Google Scholar 

  • M. Switkes, C.M. Marcus, K. Campman, A.C. Gossard, Science 283, 1905 (1999)

    Article  ADS  Google Scholar 

  • L. DiCarlo, C.M. Marcus, J.S. Harris, Jr, Phys. Rev. Lett. 91, 246804 (2003)

    Article  ADS  Google Scholar 

  • E.R. Mucciolo, C. Chamon, C.M. Marcus, Phys. Rev. Lett. 89, 146802 (2002); S.K. Watson, R.M. Potok, C.M. Marcus, V. Umansky, Phys. Rev. Lett. 91, 258301 (2003)

    Article  ADS  Google Scholar 

  • R. Benjamin, C. Benjamin, Phys. Rev. B 69, 085318 (2004)

    Article  ADS  Google Scholar 

  • E.R. Mucciolo, C. Chamon, C.M. Marcus, Phys. Rev. Lett. 89, 146802 (2002); S.K. Watson, R.M. Potok, C.M. Marcus, V. Umansky, Phys. Rev. Lett. 91, 258301 (2003); J. Wu, B. Wang, J. Wang, Phys. Rev. B 66, 205327 (2002); W. Zheng et al., Phys. Rev. B 68, 113306 (2003); P. Sharma, C. Chamon, Phys. Rev. Lett. 87, 096401 (2001); T. Aono, Phys. Rev. B 67, 155303 (2003); M. Governale, F. Taddei, R. Fazio, Phys. Rev. B 68, 155324 (2003); P. Sharma, P.W. Brouwer, Phys. Rev. Lett. 91, 166801 (2003); Yadong Wei, L. Wan, B. Wang, J. Wang, Phys. Rev. Lett. 70, 045418 (2004); K. Yu. Bliokh, Yu. P. Bliokh, Ann. Phys. (NY) e-print arXiv:quant-ph/0404144; F. Zhou, Phys. Rev. B 70, 125321 (2004); A. Brataas, Y. Tserkovnyak, Phys. Rev. Lett. 93, 087201 (2004); M. Yang, S.-S. Lee, Phys. Rev. B 70, 195341 (2004); Eran Sela, Yuval Oreg, Phys. Rev. B 71, 075322 (2005); Cristina Bena, Leon Balents, Phys. Rev. B 70, 245318 (2004); Y. Tserkovnyak, A. Brataas, G.E.W. Bauer, B.I. Halperin, e-print arXiv:cond-mat/0409242

    Article  ADS  Google Scholar 

  • P. Samuelson, M. Büttiker, e-print arXiv:cond-mat/0410581; C.W.J. Beenakker, M. Titov, B. Trauzettel, e-print arXiv:cond-mat/0502055

  • T.A. Shutenko, I. Aleiner, B. Altshuler, Phys. Rev. B 61, 10366 (2000)

    Article  ADS  Google Scholar 

  • I. Aleiner, B. Altshuler, A. Kamenev, Phys. Rev. B 62, 10373 (2000)

    Article  ADS  Google Scholar 

  • M. Buttiker, Phys. Rev. Lett. 57, 1761 (1986)

    Article  ADS  Google Scholar 

  • M. Governale, F. Taddei, R. Fazio, Phys. Rev. B 68, 155324 (2003)

    Article  ADS  Google Scholar 

  • M. Martinez-Mares, C.H. Lewenkopf, E.R. Mucciolo, Phys. Rev. B69, 085301 (2004)

    Google Scholar 

  • D. Sanchez, M. Büttiker, Phys. Rev. Lett. 93, 106802 (2004); B. Spivak, A. Zyuzin, Phys. Rev. Lett. 93, 226801 (2004); M.L. Polianski, M. Büttiker, Phys. Rev. Lett. 96, 156804 (2006); D.M. Zumbühl et al., Phys. Rev. Lett. 96, 206802 (2006)

    Article  ADS  Google Scholar 

  • V.I. Fal'ko, Euro. Phys. Lett. 8, 785 (1989); V.I. Fal'ko, D.E. Khmel'nitskii, Sov. Phys. JETP 68, 186 (1989)

    ADS  Google Scholar 

  • A. Matulis, F.M. Peeters, P. Vasilopoulos, Phys. Rev. Lett. 72, 1518 (1994); F.M. Peeters, J. De Boeck, in Handbook of Nanostructured Materials and Nanotechnology, edited by H.S. Nalwa (Academic, New York, 2000), p. 345

    Article  ADS  Google Scholar 

  • M. Lu, L. Zhang, Y. Jin, X. Yan, Eur. Phys. J. B 27, 565 (2002); F. Zhai, Y. Guo, B.-L. Gu, Phys. Rev. B 66, 125305 (2002); G. Papp, F.M. Peeters, Appl. Phys. Lett. 79, 3198 (2001); G. Papp, F.M. Peeters, Appl. Phys. Lett. 78, 2184 (2001)

    Article  ADS  Google Scholar 

  • M.A. McCord, D.D. Awschalom, Appl. Phys. Lett. 57, 2153 (1990); M.L. Leadbeater et al., J. Appl. Phys. 69, 4689 (1991); K.M. Krishnan, Appl. Phys. Lett. 61, 2365 (1992); W. Van Roy et al., J. Magn. Magn. Mater. 121, 197 (1993); R. Yagi, Y. Iye, J. Phys. Soc. Jpn 62, 1279 (1993)

    Article  ADS  Google Scholar 

  • G. Papp, F.M. Peeters, Appl. Phys. Lett. 79, 3198 (2001)

    Article  ADS  Google Scholar 

  • G. Papp, F.M. Peeters, Appl. Phys. Lett. 78, 2184 (2001); A. Majumdar, Phys. Rev. B 54, 11911 (1996)

    Article  ADS  Google Scholar 

  • S. Zhang, P.M. Levy, Phys. Rev. B 65, 052409 (2002)

    Article  ADS  Google Scholar 

  • Y. Wei, J. Wang, H. Guo, Phys. Rev. B 62, 9947 (2000)

    Article  ADS  Google Scholar 

  • M.I. Visscher, G.E.W. Bauer, Phys. Rev. B 54, 2798 (1996)

    Article  ADS  Google Scholar 

  • Jian Wang et al., Appl. Phys. Lett. 79, 3977 (2001), e-print arXiv:cond-mat/0107077

    Article  Google Scholar 

  • M.I. Visscher, Ph.D. thesis, Delft University, Netherlands (1998); Masters Thesis, Delft University, Netherlands (1996)

  • Y. Tanaka et al., Solid State Commun. 100, 37 (1996)

    Article  Google Scholar 

  • M.I. Visscher, Gerrit, E.W. Bauer, Appl. Phys. Lett. 75, 1007 (1999)

    Article  ADS  Google Scholar 

  • T.L. Adelman, S.V. Zatsev-Zotov, R.E. Thorne, Phys. Rev. Lett. 74, 5264 (1995)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Centre de Physique Theorique, CNRS, UMR 6207-Case 907, Faculté des Sciences de Luminy, 13288, Marseille Cedex 09, France

    C. Benjamin

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  1. C. Benjamin
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Benjamin, C. Detecting a true quantum pump effect. Eur. Phys. J. B 52, 403–410 (2006). https://doi.org/10.1140/epjb/e2006-00298-2

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  • DOI: https://doi.org/10.1140/epjb/e2006-00298-2

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