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Wigner crystal in snaked nanochannels

  • Mesoscopic and Nanoscale Systems
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Abstract

We study the properties of a Wigner crystal in snaked nanochannels and show that they are characterized by a conducting sliding phase at low charge densities and an insulating pinned phase above a critical charge density. The transition between these phases has a devil’s staircase structure typical for the Aubry transition in dynamical maps and the Frenkel-Kontorova model. We discuss the implications of this phenomenon for charge density waves in quasi-one-dimensional organic conductors and for supercapacitors in nanopore materials.

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References

  1. E. Wigner, Phys. Rev. 46, 1002 (1934)

    Article  ADS  MATH  Google Scholar 

  2. J.S. Meyer, K.A. Matveev, J. Phys. C.: Condens. Matter 21, 023203 (2009)

    Article  ADS  Google Scholar 

  3. Y. Monarkha, K. Kono, Two-Dimensional Coulomb Liquids and Solids (Springer-Verlag, Berlin, 2004)

  4. D.H.E. Dubin, T.M. O’Neil, Rev. Mod. Phys. 71, 87 (1999)

    Article  ADS  Google Scholar 

  5. V.E. Fortov, A.V. Ivlev, S.A. Khrapak, A.G. Khrapak, G.E. Morfill, Phys. Rep. 421, 1 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  6. O.M. Auslaender, H. Steinberg, A. Yacoby, Y. Tserkovnyak, B.I. Halperin, K.W. Baldwin, L.N. Pfeiffer, K.W. West, Science 308, 88 (2005)

    Article  ADS  Google Scholar 

  7. V.V. Deshpande, B. Chandra, R. Caldwell, D.S. Novikov, J. Hone, M. Bockrath, Science 323, 106 (2009)

    Article  ADS  Google Scholar 

  8. Y. Jompol, C.J.B. Ford, J.P. Griffiths, I. Farrer, G.A. Jones, D. Anderson, D.A. Ritchie, T.W. Silk, A.J. Schofied, Science 325, 597 (2009)

    Article  ADS  Google Scholar 

  9. V.V. Deshpande, M. Bockrath, L.I. Glazman, A. Yacoby, Nature 464, 209 (2010)

    Article  ADS  Google Scholar 

  10. L.H. Kristinsdóttir, J.C. Cremon, H.A. Nilsson, H.Q. Xu, L. Samuelson, H. Linke, A. Wacker, S.M. Reimann, Phys. Rev. B 83, R041101 (2011)

    Article  ADS  Google Scholar 

  11. D.G. Rees, I. Kuroda, C.A. Marrache-Kikuchi, M. Höfer, P. Leiderer, K. Kono, Phys. Rev. Lett. 106, 026803 (2011)

    Article  ADS  Google Scholar 

  12. W.A. Little, Phys. Rev. A 134, 1416 (1964)

    Article  ADS  Google Scholar 

  13. W.A. Little, Sci. Am. 212, 21 (1965)

    Article  Google Scholar 

  14. D. Jérome, Historical Approach to Organic Superconductivity, in The Physics of Organic Superconductors and Conductors, edited by A. Lebed (Springer-Verlag, Berlin, 2008), p. 3

  15. R.E. Thorne, Phys. Today 5, 43 (1996)

    Google Scholar 

  16. P. Simon, Y. Gogotsi, Nature Mater. 7, 845 (2008)

    Article  ADS  Google Scholar 

  17. P. Simon, Y. Gogotsi, Phil. Trans. R. Soc. A 368, 3457 (2010)

    Article  ADS  Google Scholar 

  18. B. Skinner, M.S. Loth, B.I. Shklovskii, Phys. Rev. Lett. 104, 128302 (2010)

    Article  ADS  Google Scholar 

  19. B. Skinner, T. Chen, M.S. Loth, B.I. Shklovskii, Phys. Rev. E 83, 056102 (2011)

    Article  ADS  Google Scholar 

  20. I. Garcia-Mata, O.V. Zhirov, D.L. Shepelyansky, Eur. Phys. J. B 41, 325 (2007)

    Google Scholar 

  21. O.M. Braun, Yu.S. Kivshar, The Frenkel-Kontorova Model: Concepts, Methods, Applications (Springer-Verlag, Berlin, 2004)

  22. B.V. Chirikov, Phys. Rep. 52, 263 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  23. S. Aubry, Physica D 7, 240 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  24. O.V. Zhirov, G. Casati, D.L. Shepelyansky, Phys. Rev. E 65, 026220 (2002)

    Article  ADS  Google Scholar 

  25. O.V. Zhirov, G. Casati, D.L. Shepelyansky, Phys. Rev. E 67, 056209 (2003)

    Article  ADS  Google Scholar 

  26. M. Mézard, G. Parisi, M.A. Virasoro, Spin Glass Theory and Beyond (World Sci., Singapore, 1987)

  27. A.J. Lichtenberg, M.A. Lieberman, Regular and chaotic dynamics (Springer, Berlin, 1992)

  28. A.L. Efros, arXiv:1103.3878 (2011)

  29. P. Monceau, J. Richard, M. Renard, Phys. Rev. Lett. 45, 43 (1980)

    Article  ADS  Google Scholar 

  30. P. Monceau, Historical Approach to Organic Superconductivity, in The Physics of Organic Superconductors and Conductors, edited by A. Lebed (Springer-Verlag, Berlin, 2008), p. 17

  31. R. Lin, P. Huang, J. Ségalini, C. Largeot, P.I. Taberna, J. Chmiola, Y. Gogotsi, P. Simon, Electrochimica Acta 54, 7025 (2009)

    Article  Google Scholar 

  32. E. Rousseau, D. Ponarin, L. Hristakos, O. Avenel, E. Varoquaux, Y. Mukharsky, Phys. Rev. B 79, 045406 (2009)

    Article  ADS  Google Scholar 

  33. M.V. Budantsev, Z.D. Kvon, A.G. Pogosov, G.M. Gusev, J.C. Portal, D.K. Maude, N.T. Moshegov, A.I. Toropov, Physica B 256-258, 595 (1998)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Budker Institute of Nuclear Physics, 630090, Novosibirsk, Russia

    O. V. Zhirov

  2. Laboratoire de Physique Théorique du CNRS (IRSAMC), Université de Toulouse, UPS, 31062, Toulouse, France

    D. L. Shepelyansky

Authors
  1. O. V. Zhirov
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  2. D. L. Shepelyansky
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Correspondence to D. L. Shepelyansky.

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Zhirov, O.V., Shepelyansky, D.L. Wigner crystal in snaked nanochannels. Eur. Phys. J. B 82, 63–67 (2011). https://doi.org/10.1140/epjb/e2011-20202-3

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  • DOI: https://doi.org/10.1140/epjb/e2011-20202-3

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