Home | About Journal | Web Links | E-mail Alerts | RSS RSS Icon | Browse
Previous Article Next Article

Quantum Hall Fabry–Pérot interferometer: Logic gate responses

Source: J. Appl. Phys. 108, 033710 (2010); doi:10.1063/1.3457357

Published 6 August 2010

KEYWORDS and PACS
Keywords
PACS
  • 85.30.Hi
    Surface barrier, boundary, and point contact semiconductor devices
  • 03.67.Lx
    Quantum computation architectures and implementations
  • 73.23.Ad
    Ballistic transport (mesoscopic systems)
  • 73.43.-f
    Quantum Hall effects
  • YEAR: 2010
RELATED DATABASES

To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef AIP
S. Bellucci1 and P. Onorato1,2
1INFN, Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy
2Department of Physics “A. Volta,” University of Pavia, Via Bassi 6, I-27100 Pavia, Italy
We discuss the electron transport through a quantum Hall Fabry–Pérot interferometer (QHFPI) obtained with two quantum point contacts (QPCs) in series along a ballistic quantum wire by focusing on the effects due to quantum interference and to quantum Hall effect. We calculate the conductance-energy and conductance-magnetic field characteristics as functions of the geometrical parameters and gate voltages. QHFPI may be utilized in designing electronic logic gates: XOR and OR (NOR and XNOR) gates responses are investigated. The width of each QPC is modulated by metallic electrodes where two gate voltages, namely, Va and Vb, are applied. Those external voltages are treated as the two inputs of the gates. After fixing appropriately the working Fermi energy, the magnetic field strength, and the distance between the barriers, a low output Hall current (0) (in the logical sense) appears just if both inputs are low (0), while a high output Hall current (1) results otherwise. It clearly demonstrates the OR gate behavior. By changing the parameters, a XOR gate can be produced, where a high output current (1) appears, when just one of the two inputs is low (0), while a low output current (0) results if both inputs are low (0) or high (1). ©2010 American Institute of Physics
History: Received 23 March 2010; accepted 28 May 2010; published 6 August 2010
Permalink: http://link.aip.org/link/?JAPIAU/108/033710/1

REFERENCES (29)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. D. P. DiVincenzo, Fortschr. Phys. 48, 771 (2000)
  2. Science 270, 255 (1995).
  3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
  4. T. J. Thornton, Rep. Prog. Phys. 58, 311 (1995).
  5. J. C. Charlier, X. Blase, and S. Roche, Rev. Mod. Phys. 79, 677 (2007).
  6. S. Datta, Quantum Transport: Atom to Transistor, 2nd ed. (Cambridge University Press, Cambridge, England, 2005).
  7. S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von Molnar, M. L. Roukes, A. Y. Chtchelkanova, and D. M. Treger, Science 294, 1488 (2001).
  8. P. Földi, O. Kálmán, M. G. Benedict, and F. M. Peeters, Nano Lett. 8, 2556 (2008)
    9. P. Földi, O. Kálmán, and F. M. Peeters, Phys. Rev. B 80, 125324 (2009).
  9. P. Földi, B. Molnár, M. G. Benedict, and F. M. Peeters, Phys. Rev. B 71, 033309 (2005)
    10. S. Bellucci and P. Onorato, ibid. 77, 165305 (2008).
  10. F. Chi, J. Zheng, and L. L. Sun, Appl. Phys. Lett. 92, 172104 (2008).
  11. M. Yamamoto and B. Kramer, J. Appl. Phys. 103, 123703 (2008)
    12. S. Bellucci and P. Onorato, Phys. Rev. B 79, 045314 (2009).
  12. S. K. Maiti, J. Phys. Soc. Jpn. 78, 114602 (2009)
    13. Phys. Lett. A 373, 4470 (2009).
  13. S. K. Maiti, Solid State Commun. 149, 2146 (2009)
    14. 149, 1623 (2009)
    149, 1684 (2009).
  14. C. de C. Chamon, D. E. Freed, S. A. Kivelson, S. L. Sondhi, and X. G. Wen, Phys. Rev. B 55, 2331 (1997)
    15. P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. 96, 016803 (2006)
    A. Stern and B. I. Halperin, ibid. 96, 016802 (2006).
  15. B. Rosenow and B. I. Halperin, Phys. Rev. Lett. 98, 106801 (2007)
    16. R. Ilan, E. Grosfeld, and A. Stern, ibid. 100, 086803 (2008).
  16. F. E. Camino, W. Zhou, and V. J. Goldman, Phys. Rev. Lett. 95, 246802 (2005)
    17. Phys. Rev. B 74, 115301 (2006)
    Phys. Rev. Lett. 98, 076805 (2007).
  17. D. T. McClure, Y. Zhang, B. Rosenow, E. M. Levenson-Falk, C. M. Marcus, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 103, 206806 (2009).
  18. V. Marigliano Ramaglia, F. Ventriglia, and G. P. Zucchelli, Phys. Rev. B 52, 8372 (1995).
  19. B. J. van Wees, L. P. Kouwenhoven, C. J. P. M. Harmans, J. G. Williamson, C. E. Timmering, M. E. I. Broekaart, C. T. Foxon, and J. J. Harris, Phys. Rev. Lett. 62, 2523 (1989).
  20. Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
  21. P. V. Lin, F. E. Camino, and V. J. Goldman, Phys. Rev. B 78, 245322 (2008).
  22. S. E. Laux, D. J. Frank, and F. Stern, Surf. Sci. 196, 101 (1988)
    23. H. Drexler, W. Hansen, S. Manus, J. P. Kotthaus, M. Holland, and S. P. Beaumont, Phys. Rev. B 49, 14074 (1994)
    B. Kardynal, C. H. W. Barnes, E. H. Linfield, D. A. Ritchie, J. T. Nicholls, K. M. Brown, G. A. C. Jones, and M. Pepper, ibid. 55, R1966 (1997).
  23. Dirac delta function is usually taken into account in order to modelize the QPCs while any other function localized near y=0 can be used.
  24. R. Landauer, IBM J. Res. Dev. 1, 223 (1957)
    25. Philos. Mag. 21, 863 (1970).
  25. S. Bellucci and P. Onorato, Phys. Rev. B 73, 045329 (2006).
  26. M. Knop, M. Richter, R. Maßmann, U. Wieser, U. Kunze, D. Reuter, C. Riedesel, and A. D. Wieck, Semicond. Sci. Technol. 20, 814 (2005).
  27. D. P. Chu and P. N. Butcher, Phys. Rev. Lett. 72, 3698 (1994).
  28. G. Kirczenow, Phys. Rev. B 38, 10958 (1988).
  29. H. Akera and T. Ando, Phys. Rev. B 39, 5508 (1989).
  30. F. M. Peeters, Phys. Rev. Lett. 61, 589 (1988).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.
ADVERTISEMENT