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Density of states for the lowest landau level of a three-dimensional disordered system

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Zeitschrift für Physik B Condensed Matter

Abstract

The density of states of a three-dimensional non-interacting electron gas under the influence of a white noise potential and a strong magnetic field is examined. It is shown that for the lowest Landau level the density of states may be obtained from the eigenvalue of an ordinary differential equation. The numerical results are compared with the density of states of a one-dimensional system with a white noise potential. For the Lifshitz tail the density of states is investigated by the instanton method.

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References

  1. Wegner, F.: Z. Phys. B — Condensed Matter51, 279 (1983)

    Google Scholar 

  2. Brezin, E., Gross, D.J., Itzykson, C.: Nucl. Phys. B235, FS 11, 24 (1984)

    Google Scholar 

  3. Lifshitz, I.M.: Adv. Phys.13, 483 (1964)

    Google Scholar 

  4. Rajaraman, R.: Solitons and instantons. Amsterdam, New York, Oxford: North-Holland 1982

    Google Scholar 

  5. Langer, J.: Ann. Phys.41, 108 (1967)

    Google Scholar 

  6. Callan, C.G., Coleman, S. Phys. Rev. D16, 1762 (1977)

    Google Scholar 

  7. Brezin, E., Parisi, G.: J. Phys. C13, L307 (1980)

    Google Scholar 

  8. Vajnstein, A.I., Sacharov, V.I., Novikov, V.A., Sifman, M.A.: Usp. Fiz. Nauk136, 553 (1982)

    Google Scholar 

  9. Cardy, J.L.: J. Phys. C11, L321 (1978)

    Google Scholar 

  10. Houghton, A., Schäfer, L.: J. Phys. A12, 1309 (1979)

    Google Scholar 

  11. Luttinger, J.M., Tao, R.: Ann. Phys.145, 185 (1983)

    Google Scholar 

  12. Affleck, I.: J. Phys., C17, 2323 (1984)

    Google Scholar 

  13. Luttinger, J.M., Waxler, R.: Ann. Phys.175, 319 (1987)

    Google Scholar 

  14. Benedict, K.A.: Nucl. Phys. B280, FS18, 549 (1987)

    Google Scholar 

  15. Apel, W.: J. Phys. C20, L577 (1987)

    Google Scholar 

  16. Feynman, R.P., Hibbs, A.R.: Quantum mechanics and path integrals. New York: McGraw-Hill Book Co. 1965

    Google Scholar 

  17. Bohr, K., Efetov, K.B. J. Phys. C15, L249 (1982)

    Google Scholar 

  18. Hayn, R., John, W.: Z. Phys. B — Condensed Matter67, 169 (1987)

    Google Scholar 

  19. Killingbeck, J.P.: Microcomputer quantum mechanics. Bristol: Adam Hilger Ltd. 1983

    Google Scholar 

  20. Abramowitz, M., Stegun, I.A. (eds.): Handbook of mathematical functions. New York: Dover 1970

    Google Scholar 

  21. Hayn, R., John, W.: Z. Phys. B — Condensed Matter70, 331, (1988)

    Google Scholar 

  22. Homeier, H.: Diplomarbeit, Institut für Theoretische Physik, Universität Heidelberg 1986

Download references

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Authors and Affiliations

  1. Wissenschaftsbereich Theoretische Physik, Technische Universität Dresden Sektion Physik, Mommsenstrasse 13, DDR-8027, Dresden, German Democratic Republic

    R. Hayn & W. John

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  1. R. Hayn
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  2. W. John
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Hayn, R., John, W. Density of states for the lowest landau level of a three-dimensional disordered system. Z. Physik B - Condensed Matter 76, 289–294 (1989). https://doi.org/10.1007/BF01321905

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  • DOI: https://doi.org/10.1007/BF01321905

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