The Statistical Description of de Haas—van Alphen Oscillations in Silicon Nanosandwich

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International Youth Conference on Electronics, Telecommunications and Information Technologies

Abstract

Here, we present room temperature de Haas—van Alphen oscillations measured in silicon nanosandwich in a weak magnetic field. Our results demonstrate a decrease of the oscillation magnitude with increasing magnetic field strength. This behavior is drastically different from the results reported earlier and it is attributed to the low-dimensionality of the studied structure, which enables room temperature observation of the de Haas—van Alphen effect in moderate magnetic fields up to 1000 Oe. We employ the classic Lifshitz-Kosevich formalism based on the dependence of the carrier effective mass on the applied magnetic field, to statistically describe this effect. We note that the statistical approach allows a more accurate interpretation of the experimentally observed results as compared to the previously used approach on the basis of classical thermodynamics. In particular, it allows us to highlight the non-oscillating contribution of the magnetization and its impact on the shape of the observed curve. Furthermore, we analyze the relation of the obtained carrier effective mass with the specific features of the studied silicon nanosandwich, which are determined by the formation of negative-U delta barriers within this structure.

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References

  1. I.M. Lifshitz, A.M. Kosevich, Theory of magnetic susceptibility in metals at low temperatures. Soviet Phys. JETP 2(4), 636–645 (1956)

    Google Scholar 

  2. A.M. Kosevich, I.M. Lifshitz, The de Haas-van Alphen effect in thin metal layers. Soviet Phys. JETP 2(4), 646–649 (1956)

    Google Scholar 

  3. D. Shoenberg, Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, 1984)

    Book  Google Scholar 

  4. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995)

    Book  Google Scholar 

  5. L. Roth, Semiclassical theory of magnetic energy levels and magnetic susceptibility of bloch electrons. Phys. Rev. 145(2), 434–448 (1966)

    Article  ADS  Google Scholar 

  6. I.D. Vagner, T. Maniv, E. Ehrenfreund, Ideally conducting phases in quasi two-dimensional conductors. Phys. Rev. Lett. 51(18), 1700–1703 (1983)

    Article  ADS  Google Scholar 

  7. J.G.E. Harris, R. Knobel, K.D. Maranowski, A.C. Gossard, N. Samarth, D.D. Awschalom, Magnetization measurements of magnetic two-dimensional electron gases. Phys. Rev. Lett. 86(20), 4644–4647 (2001)

    Article  ADS  Google Scholar 

  8. E. Gornik, R. Lassnig, G. Strasser, H.L. Stormer, A.C. Gossard, W. Wiegmann, Specific heat of two-dimensional electrons in GaAs-GaAlAs multilayers. Phys. Rev. Lett. 54, 1820–1827 (1985)

    Article  ADS  Google Scholar 

  9. J.P. Eisenstein, H.L. Stormer, V. Narayanamurti, A.Y. Cho, A.C. Gossard, C.W. Tu, Density of states and de Haas-van Alphen effect in two-dimensional electron systems. Phys. Rev. Lett. 55(8), 875–878 (1985)

    Article  ADS  Google Scholar 

  10. M.P. Schwarz, M.A. Wilde, S. Groth, D. Grundler, Ch. Heyn, D. Heitmann, Sawtoothlike de Haas-van Alphen oscillations of a two-dimensional electron system. Phys. Rev. B 65, 245315 (2002)

    Article  ADS  Google Scholar 

  11. S.A.J. Wiegers, M. Specht, L.P. Lévy, M.Y. Simmons, D.A. Ritchie, A. Cavanna, B. Etienne, G. Martinez, P. Wyder, Magnetization and energy gaps of a high-mobility 2D electron gas in the quantum limit. Phys. Rev. Lett. 79(17), 3238–3241 (1997)

    Article  ADS  Google Scholar 

  12. N.T. Bagraev, R.V. Kuzmin, A.S. Gurin, L.E. Klyachkin, A.M. Malyarenko, V.A. Mashkov, Optically detected cyclotron resonance in heavily boron-doped silicon nanostructures on n-Si (100). Semiconductors 48(12), 1605–1612 (2014)

    Article  ADS  Google Scholar 

  13. N.T. Bagraev, D.S. Gets, EYu. Danilovsky, L.E. Klyachkin, A.M. Malyarenko, On the electrically detected cyclotron resonance of holes in silicon nanostructures. Semiconductors 47(4), 525–531 (2013)

    Article  ADS  Google Scholar 

  14. V.V. Romanov, V.A. Kozhevnikov, N.T. Bagraev, Thermodynamic description of oscillations of the magnetization of a silicon nanostructure in weak fields at room temperature. Density of States. Semiconductors 53(12), 1633–1636 (2019)

    Article  ADS  Google Scholar 

  15. V.V. Romanov, V.A. Kozhevnikov, N.T. Bagraev, C.T. Tracey, De Haas-van Alphen oscillations of the silicon nanostructure in weak magnetic fields at room temperature. Density of States. Semiconductors 53(12), 1629–1632 (2019)

    Article  ADS  Google Scholar 

  16. V.V. Romanov, N.T. Bagraev, V.A. Kozhevnikov, G.K. Sizykh, C.T. Tracey, De Haas-van Alphen effect in a silicon nanosandwich: determination of the effective carrier mass. J. Phys.: Conf. Ser. 1236, 012013 (2019)

    Google Scholar 

  17. V.V. Romanov, V.A. Kozhevnikov, C.T. Tracey, B.S. Ermakov, The de Haas-van Alphen effect in a silicon nanosandwich at the room temperature. Numerical simulation of the oscillations with integer filling factors, in Proceedings of the 2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech), ed. by E. Velichko, Saint Petersburg (IEEE, 2019), pp. 205–206

    Google Scholar 

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Correspondence to Vladimir Romanov .

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Romanov, V., Kozhevnikov, V., Grigorev, V., Filianina, M. (2021). The Statistical Description of de Haas—van Alphen Oscillations in Silicon Nanosandwich. In: Velichko, E., Vinnichenko, M., Kapralova, V., Koucheryavy, Y. (eds) International Youth Conference on Electronics, Telecommunications and Information Technologies. Springer Proceedings in Physics, vol 255. Springer, Cham. https://doi.org/10.1007/978-3-030-58868-7_5

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