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Magnetic moment of an electron gas on the surface of constant negative curvature

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Abstract.

The magnetic moment of an electron gas on the surface of constant negative curvature is investigated. It is shown that the surface curvature leads to the appearance of the region of the monotonic dependence M(B) at low magnetic fields. At high magnetic fields, the dependence of the magnetic moment on a magnetic field is the oscillating one. The effect of the surface curvature is to increase the region of the monotonic dependence of the magnetic moment and to break the periodicity of oscillations of the magnetic moment as a function of an inverse magnetic field.

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References

  1. J. Harris, Phys. Rev. Lett. 86, 4644 (2001)

    Article  Google Scholar 

  2. R. Peierls, Phys. Z 81, 186 (1933)

    MATH  Google Scholar 

  3. D. Grigoriev, I.D. Vagner, Pis’ma v ZhETF 69, 139 (1999) [JETP Lett. 69, 156 (1999)]

    Google Scholar 

  4. M.L. Leadbeater, J. Phys.: Condens. Matter 7, L307 (1995)

  5. V.Ya. Prinz, Physica E 6, 828 (2000)

    Article  Google Scholar 

  6. M. Grayson, cond-mat/0308557

  7. J.H. Kim, I.D. Vagner, B. Sundaram, Phys. Rev. B 46, 9501 (1992)

    Article  Google Scholar 

  8. D.N. Aristov, Phys. Rev. B 59, 6368 (1999)

    Article  Google Scholar 

  9. D.V. Bulaev, V.A. Geyler, V.A. Margulis, Phys. Rev. B 62, 11517 (2000)

    Article  Google Scholar 

  10. L.I. Magarill, A.V. Chaplik, Zh. Eksp. Teor. Fiz. 115, 1478 (1999) [Sov. Phys. JETP 88, 815 (1999)]

    Google Scholar 

  11. V.A. Geyler, V.A. Margulis, A.V. Shorokhov, Zh. Eksp. Teor. Fiz. 115, 1450 (1999) [Sov. Phys. JETP 88, 800 (1999)]

    Google Scholar 

  12. E. D’Hoker, D.H. Phong, Rev. Mod. Phys. 60, 917 (1988)

    Article  MathSciNet  Google Scholar 

  13. C. Grosche, J. Phys. A 25, 4573 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  14. H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge Univ. Press, Cambridge, UK, 1999)

  15. M. Antoinet, A. Comtett, S. Ouvry, J. Phys. A 23, 3699 (1990)

    Google Scholar 

  16. R. Iengo, D. Li, Nucl. Phys. B 413, 735 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  17. J.E. Avron, Phys. Rev. Lett. 69, 128 (1992)

    Article  Google Scholar 

  18. A. Pnueli, Ann. Phys. 231, 56 (1994)

    Article  MATH  Google Scholar 

  19. A. Carey, K. Hannabuss, V. Mathai, Lett. Math. Phys. 47, 215 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  20. D.V. Bulaev, V.A. Geyler, V.A. Margulis, Physica B 337, 180 (2003)

    Article  Google Scholar 

  21. N.P. Landsman, Mathematical topics between classical and quantum mechanics (Springer-Verlag, New York, 1998)

  22. A. Comtet, Ann. Phys. 173, 185 (1987)

    MathSciNet  MATH  Google Scholar 

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Correspondence to D. V. Bulaev.

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Received: 17 September 2003, Published online: 8 December 2003

PACS:

73.20.At Surface states, band structure, electron density of states - 75.75. + a Magnetic properties of nanostructures

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Bulaev, D.V., Margulis, V.A. Magnetic moment of an electron gas on the surface of constant negative curvature. Eur. Phys. J. B 36, 183–186 (2003). https://doi.org/10.1140/epjb/e2003-00333-x

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  • DOI: https://doi.org/10.1140/epjb/e2003-00333-x

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