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Crystallization of electrons and holes

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A Perspective Look at Nonlinear Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 503))

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Abstract

The original concept of Wigner for electron crystallization is extended by considering electrons in orbitals close to nuclei. It is shown that in this case electron (or hole) crystallization can take place at high densities. This is in distinction to the homogenous electron gas considered by Wigner where only at very low densities electrons are forming a lattice. We show that Yb 4 As 3 is an example for the case studied here. Because of the special anti-Th 3 P 4 structure the material has, the crystallization of 4f holes can be modelled well by a band Jahn-Teller effect of strongly correlated electrons.

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References

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

    Article  MATH  ADS  Google Scholar 

  2. E.P. Wigner, Trans. Faraday Soc. 34, 678 (1938)

    Article  Google Scholar 

  3. C.M. Care and N.H. March, Adv. Phys. 24, 101 (1975).

    Article  ADS  Google Scholar 

  4. R.S. Crandall, Phys. Rev. A 8, 2136 (1973)

    Article  ADS  Google Scholar 

  5. J. Durkan, R.J. Elliott and N.H. March, Rev. Mod. Phys. 40, 812 (1968)

    Article  ADS  Google Scholar 

  6. T. Kasuya, J. Alloys and Compounds, 192, 217 (1993) and earlier work cited there

    Article  Google Scholar 

  7. E.J.W. Verwey and P.W. Haaymann, Physica 8, 979 (1941)

    Article  ADS  Google Scholar 

  8. N.F. Mott, Phil. Mag. 6, 287 (1961)

    Article  ADS  Google Scholar 

  9. J. Hubbard, Proc. R. Soc. London A 276, 238 (1963), ibid, A 281, 401 (1964)

    Article  ADS  Google Scholar 

  10. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963)

    Article  ADS  Google Scholar 

  11. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)

    Article  MATH  ADS  Google Scholar 

  12. A. Ochiai, T. Suzuki and T. Kasuya, J. Phys. Soc. Jpn. 59, 4129 (1990)

    Article  ADS  Google Scholar 

  13. H.G. von Schnering, private communication

    Google Scholar 

  14. P. Fulde, P. Thalmeier and B. Schmidt, Europhys. Lett. 31, 323 (1995)

    Article  ADS  Google Scholar 

  15. S. Blawid, Hoang Anh Tuan and P. Fulde, Phys. Rev. B 54, 7711 (1996)

    Article  Google Scholar 

  16. Y.M. Li, N. d'Ambrumenil and P. Fulde, Phys. Rev. Lett. 78, 3386 (1997)

    Article  ADS  Google Scholar 

  17. H. Eschrig, private communication

    Google Scholar 

  18. K. Takegahara and Y. Kaneta, J. Phys. Soc. Jpn. 60, 4009 (1991)

    Article  ADS  Google Scholar 

  19. E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)

    Article  ADS  Google Scholar 

  20. M. O'Keeffe and K.S. Andersson, Acta Crystallogr. A 33, 914 (1977)

    Article  ADS  Google Scholar 

  21. J. Labbé and J. Friedel, J. Physica 27, 153 and 303 (1966)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187, Dresden, Germany

    P. Fulde

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  1. P. Fulde
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Jürgen Parisi Stefan C. Müller Walter Zimmermann

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© 1998 Springer-Verlag

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Fulde, P. (1998). Crystallization of electrons and holes. In: Parisi, J., Müller, S.C., Zimmermann, W. (eds) A Perspective Look at Nonlinear Media. Lecture Notes in Physics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104952

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  • DOI: https://doi.org/10.1007/BFb0104952

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63995-4

  • Online ISBN: 978-3-540-69681-0

  • eBook Packages: Springer Book Archive

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