Skip to main content
Log in

Quasi-localization and quasi-mobility edge for light atoms mixed with heavy ones

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

Abstract.

A mixture of light and heavy atoms is considered. We study the kinetics of the light atoms, scattered by the heavy ones, the latter undergoing slow diffusive motion. In three-dimensional space we claim the existence of a crossover region (in energy), which separates the states of the light atoms with fast diffusion and the states with slow diffusion; the latter is determined by the dephasing time. For the two dimensional case we have a transition between weak localization, observed when the dephasing length is less than the localization length (calculated for static scatterers), and strong localization observed in the opposite case.

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

  • U. Gavish, Y. Castin, Phys. Rev. Lett. 95, 020401 (2005)

    Article  ADS  Google Scholar 

  • B. Paredes, F. Verstraete, J.I. Cirac, Phys. Rev. Lett. 95, 140501 (2005)

    Article  ADS  Google Scholar 

  • D. Clément, A.F. Varón, M. Hugbart, J.A. Retter, P. Bouyer, L. Sanchez-Palencia, D. Gangardt, G.V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 95, 170409 (2005)

    Article  ADS  Google Scholar 

  • C. Fort, L. Fallani, V. Guarrera, J. Lye, M. Modugno, D.S. Wiersma, M. Inguscio, Phys. Rev. Lett. 95, 170410 (2005)

    Article  ADS  Google Scholar 

  • T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, M. Lewenstein, Phys. Rev. Lett. 95, 170411 (2005)

    Article  ADS  Google Scholar 

  • R.C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, C.A. Muller, Phys. Rev. Lett. 95, 250403 (2005); R.C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, C.A. Muller, New J. Phys. 9, 161 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  • K. Ziegler, Laser Physics 16, 699 (2006); e-print arXiv:cond-mat/0611010

    Article  Google Scholar 

  • S. Ospelkaus, C. Ospelkaus, O. Wille, M. Succo, P. Ernst, K. Senqstock, K. Bonqs, Phys. Rev. Lett. 96, 180403 (2006)

    Article  ADS  Google Scholar 

  • D. Clément, A.F. Varón, J.A. Retter, L. Sanchez-Palencia, A. Aspect, P. Bouyer, New J. Phys. 8, 165 (2006)

    Article  Google Scholar 

  • P. Massignan, Y. Castin, Phys. Rev. A 74, 013616 (2006)

    Article  ADS  Google Scholar 

  • L. Sanchez-Palencia, D. Clément, P. Bouyer, G.V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 98, 210401 (2007)

    Article  ADS  Google Scholar 

  • B. Kramer, A. MacKinnon, Rep. Prog. Phys. 56, 1469 (1993); P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)

    Article  ADS  Google Scholar 

  • S. Chakravarty, A. Schmid, Phys. Rep. 140, 195 (1986)

    Article  ADS  Google Scholar 

  • J. Rammer, Quantum Transport Theory (Perseus Books, Reading, Massachusets, 1998)

  • P. Wölfle, D. Vollhardt, in Anderson Localization, edited by Y. Nagaoka, H. Fukuyama (Springer, Berlin, 1982)

  • A.A. Golubentsev, Zh. Eksp. Teor. Fiz. 86, 47 (1984); [Sov. Phys. JETP 59, 26 (1984)]

    ADS  Google Scholar 

  • L.D. Landau, E.M. Lifshitz, Statistical Physics, Part 1 (Pergamon Press Ltd, Oxford, 1980)

  • V.V. Afonin, Yu.M. Gal'perin, V.L. Gurevich, Zh. Eksp. Teor. Fiz. 88, 1906 (1985) [Sov. Phys. JETP 61, 1130 (1985)]

    Google Scholar 

  • B.L. Altshuler, A.G. Aronov, D.E. Khmelnitskii, J. Phys. C 15, 7367 (1982)

    Article  ADS  Google Scholar 

  • A.A. Gogolin, V.I. Melnikov, E.I. Rashba, Sov. Phys. JETP 42, 168 (1975)

    ADS  Google Scholar 

  • A.A. Gogolin, Phys. Rep. 86, 1 (1982); A.A. Gogolin, G. T. Zimanyi, Solid State Comm. 46, 469 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  • G.A. Minkov, A.V. Germanenko, O.E. Rut, A.A. Sherstobitov, B.N. Zvonkov, e-print arXiv:cond-mat/0606566

  • I.V. Gornyi, A.D. Mirlin, D.G. Polyakov, Phys. Rev. Lett. 95, 206603 (2005); Phys. Rev. B 75, 085421 (2007)

    Article  ADS  Google Scholar 

  • E.M. Kogan, M. Auslender, M. Kaveh, Eur. Phys. J. 9, 373 (1999)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Kogan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kogan, E. Quasi-localization and quasi-mobility edge for light atoms mixed with heavy ones. Eur. Phys. J. B 61, 181–185 (2008). https://doi.org/10.1140/epjb/e2008-00045-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2008-00045-9

PACS.

Navigation