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Confined quantum systems in one dimension and conductance oscillations in narrow channels

Karel Vacek and Ayao Okiji

Norio Kawakami

  • Department of Applied Physics, Osaka University, Suita, Osaka 565, Japan

  • Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606, Japan

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Phys. Rev. B 49, 4635 – Published 15 February, 1994

DOI: https://doi.org/10.1103/PhysRevB.49.4635

Abstract

An exactly solvable electron model of a confined system with inverse-square interaction is presented. The ground state is given by the Jastrow-product wave function of power-law form. We then apply the results to conductance oscillations in semiconductor nanostructures by generalizing the approach of Johnson and Payne to single-electron charging effects. Due to the internal spin degrees of freedom, there appear two independent periods of the conductance oscillations in very narrow channels even at zero temperature.

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References (21)

  1. F. Calogero, J. Math. Phys. 10, 2197 (1969).
  2. B. Sutherland, J. Math. Phys. 12, 246 (1971); Phys. Rev. A 4, 2019 (1971) ibid. 5, 1372 (1971).
  3. F. D. M. Haldane, Phys. Rev. Lett. 60, 635 (1988); ibid. 66, 1529 (1991).
  4. B. S. Shastry, Phys. Rev. Lett. 60, 639 (1988); ibid. 69, 164 (1992).
  5. Y. Kuramoto and H. Yokoyama, Phys. Rev. Lett. 67, 1338 (1991).
  6. Z. N. C. Ha and F. D. M. Haldane, Phys. Rev. B 46, 9359 (1992).
  7. N. Kawakami, Phys. Rev. B 46, 1005 (1992); ibid. 46, 3192 (1992); , J. Phys. Soc. Jpn. 62, 2270 (1993).
  8. A. P. Polychronakos, Phys. Rev. Lett. 69, 703 (1992); K. Hikami and M. Wadati, Phys. Lett. A 173, 263 (1993).
  9. B. Sutherland and B. S. Shastry, Phys. Rev. Lett. 71, 5 (1993).
  10. Note that a multicomponent model with a specific condition has been discussed by H. Frahm, J. Phys. A 26, L473 (1993). Also the integrability for the SU( ν ) case was discussed by J. A. Minahan and A. P. Polychronakos, Phys. Lett. B 302, 265 (1993).
  11. J. H. F. Scott-Thomas, S. B. Field, M. A. Kastner, D. A. Antoniadis and H. I. Smith, Phys. Rev. Lett. 62, 583 (1989).
  12. U. Meirav, M. A. Kastner, M. Heiblum and S. J. Wind, Phys. Rev. B 40, 5871 (1989).
  13. U. Meirav, M. A. Kastner and S. J. Wind, Phys. Rev. Lett. 65, 771 (1990).
  14. S. B. Field, M. A. Kastner, U. Meirav, J. H. F. Scott-Thomas, D. A. Antoniadis, H. I. Smith and S. J. Wind, Phys. Rev. B 42, 3523 (1990).
  15. H. van Houten and C. W. J. Beenakker, Phys. Rev. Lett. 63, 1893 (1989); C. W. J. Beenakker, Phys. Rev. B 44, 1646 (1991).
  16. M. A. Kastner, S. B. Field, U. Meirav, J. H. F. Scott-Thomas, D. A. Antoniadis and H. I. Smith, Phys. Rev. Lett. 63, 1894 (1989).
  17. Y. Meir, N. S. Wingreen and P. A. Lee, Phys. Rev. Lett. 66, 3048 (1991).
  18. S. Tewari, Phys. Rev. B 46, 7782 (1992).
  19. N. F. Johnson and M. C. Payne, Phys. Rev. Lett. 70, 1513 (1993); ibid. 70, 3523 (1993).
  20. N. Kawakami (unpublished).
  21. The reservoir is an ideal source and sink of electrons, feeding the system up to the chemical potential mu. For details, see M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986).

Outline

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Phys. Rev. B 49, 4635– Published 15 February, 1994
  • Received 31 August 1993

© 1994 American Physical Society

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