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Quantum Effects in the Conductivity of a Quasi 2D Electron Gas

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Part of the book series: NATO Science Series ((NAII,volume 106))

Abstract

We consider the role of the finite width of the channel in the conductivity of a quasi 2D electron gas. If the transverse correlation radius of the scattering potential is smaller the width of the transverse electron density profile, then scattering to higher levels of the confinement potential causes broadening of the current flow profile. As a result the conductivity becomes larger than its value obtained from a quasiclassical 2D Boltzmann equation. A magnetic field, parallel to the driving electric field, effectively strengthen the confining potential and narrows both the electron density profile and the current density profile. Then the resistivity of the quasi 2D electron gas is expected to grow in longitudinal magnetic field.

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References

  1. T. Ando, A.B. Fowler, and F. Stern, Rev.Mod. Phys. 54, 437 (1982).

    Article  ADS  Google Scholar 

  2. E.D. Siggia and P.C. Kwok, Phys.Rev. B 2, 1024 (1970).

    Article  ADS  Google Scholar 

  3. D.G. Cantrell and P.N. Butcher, J. Phys. C 18, 5111 (1985).

    Article  ADS  Google Scholar 

  4. H. Tang and P.N. Butcher, J. Phys. C 21, 3313; 3959 (1988).

    Google Scholar 

  5. F. Stern and W.E. Howard, Phys. Rev. 163, 816 (1967).

    Article  ADS  Google Scholar 

  6. F. Stern, Surf. Sci. 58, 333 (1976).

    Article  ADS  Google Scholar 

  7. V.T. Dolgopolov and A. Gold, JETP Letters, 71, 42 (2000).

    Article  Google Scholar 

  8. V.N. Fleurov and A.N. Kozlov, J. Phys. F 8, 1899 (1978).

    Article  ADS  Google Scholar 

  9. M. Levanda and V. Fleurov, J. Phys. Condens. Matter 6, 7889 (1994).

    Article  ADS  Google Scholar 

  10. M. Levanda and V. Fleurov, Ann. Phys. (N.Y.) 292, 199 (2001); cond-mat/0105137.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. G.D. Mahan, Many Particle Physics (Plenum Press, New York, 1990).

    Book  Google Scholar 

  12. H. Haug and A.P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors, (Springer, Solid State Series vol 123, 1997).

    Google Scholar 

  13. L.V. Keldysh, (1965) Sov.Phys. JETP, 20, 1018.

    MathSciNet  Google Scholar 

  14. H. Groenewold, Physica (Amsterdam) 12, 405 (1946)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. T. Okamoto, K. Hosoya, S. Kawaji, and A. Yagi, Phys.Rev.Lett. 82, 3875 (1999).

    Article  ADS  Google Scholar 

  16. T. Okamoto, K. Hosoya, S. Kawaji, and A.Yagi, A. Yutani, and Y.Shiraki, condmat/9906425 (1999).

    Google Scholar 

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Levanda, M., Fleurov, V. (2003). Quantum Effects in the Conductivity of a Quasi 2D Electron Gas. In: Vagner, I.D., Wyder, P., Maniv, T. (eds) Recent Trends in Theory of Physical Phenomena in High Magnetic Fields. NATO Science Series, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0221-9_9

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  • DOI: https://doi.org/10.1007/978-94-010-0221-9_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1373-7

  • Online ISBN: 978-94-010-0221-9

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