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Quantum Point Contact simulations on ISIS structure

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the work a numerical method of dissolving the Poisson equation in an electrostatically formed Quantum Point Contact (QPC) is described. Such a device is based on the structure called ISIS (Inverted Semiconductor Insulator Semiconductor). This structure was proposed in 1991 by Kastner [1] who made single electron transistor in it. In this paper the Poisson equation is solved by means of boundary elements method [2] with functions of the single layer potential [3] whose result provides potential distributions of the QPC device. The electronic properties of the QPC model are found by the use of Green functions method [4]. The interaction between structure and two leads is described by self-energy method [5]. The QPC conductance is calculated with the help of Landauer formula, after the Green’s function corresponding to device Hamiltonian is evaluated.
Rocznik
Strony
1--6
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
  • Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland
autor
  • Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland
Bibliografia
  • 1. M. A. KASTNER, The Single-Electron Transistor, Rev. of Modern Phys., 1992, 64, 3, 849-858.
  • 2. J. L. DOOB, Classical Potential Theory and Its Probabilistic Counterpart, Springer, New York, 1984.
  • 3. S. PAWŁOWSKI, A. KUSY, R. SIKORA, M. MĄCZKA, E. MACHOWSKA-PODSIADŁO, Numerical Studies of Quantum Dot Electrical Transport Properties, in Metal/Non-Metal Microsystems: Physics, Technology and Applications, Licznerski B. W., Dziedzic A., Eds., Proc. SPIE 2780, 1995, 202-207.
  • 4. E. N. ECONOMOU, Green's Functions in Quantum Physics, Springer, New York, 1983.
  • 5. S. DATTA, Electronic Transport in Mesoscopic Systems, Cambridge University Press, 1995.
  • 6. J. H. DAVIES, The Physics of Low-Dimensional Semiconductors, Cambridge University Press, 1998.
  • 7. R. LANDAUER, Conductance from Transmission: Common Sense Points, Phys. Scripta, 1992, T42, 110.
  • 8. D. S. FISHER, P. A. LEE, Relation between Conductivity and Transmition Matrix, Phys. Rev. B, 1981, 23, 6851.
  • 9. M. J. McLENNAN, Y. LEE, S. DATTA, Voltage Drop in Mesoscopic Systems: A Numerical Study Using a Kinetic Equation, Phys. Rev. B, 1991, 43, 13846.
  • 10. A. KOLEK, G. HAŁDAŚ, Modelling of Quantum Mechanical Devices by Green's Function Technique, Acta Phys. Pol. B, 2000, 32, 551-556.
  • 11. M. I. REZNIKOV, M. HEIBLUM, H. SHTRIKMAN, D. MAHALU, Temporal Correlation of Electrons: Suppression of Shot Noise in a Ballistic Quantum Point Contact, Phys. Rev. Lett., 1995, 75, 3340-3343.
  • 12. B. J. van WEES, H. van HOUTEN, C. W. J. BEENAKKER, J. G. WILLIAMSON, L. P. KOUWENHOVEN, D. van der MAREL, C. T. FOXON, Quantized Conductance of Point Contacts in a Two-Dimensional Electron Gas, Phys. Rev. Lett., 1988, 60, 848-850.
  • 13. J. A. NIXON, J. H. DAVIES, H. U. BARANGER, Breakdown of Quantized Conductance in Point Contacts Calculated Using Realistic Potentials, Phys. Rev. B, 1991, 43, 12638-12641.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0018-0036
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