Czasopismo
2006
|
Vol. 13, nr 2
|
113-124
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Kwantowe zjawisko Halla: podstawy
Języki publikacji
Abstrakty
The basic understanding of the physics behind and the reasons for very high precision of the resistivity ρxy quantisation in integer quantum Hall effect (IQHE) and the application of the effect in metrology to define a quantum resistance standard will be briefly discussed. We also mention some recent proposals concerning the application of the quantum Hall device as an efficient qubit for future quantum computers and end up with few remarks about the contribution of single electron devices to the realisation of standards and quantum metrology which seeks the ways to beat the accuracy of classic measurements.
W pracy przedstawiono podstawy zjawiska i fizyczne powody pozwalające na precyzyjny pomiar oporności ρxy w warunkach całkowitego kwantowego zjawiska Halla. Omówiono zastosowanie zjawiska w metrologii jako wzorca oporności elektrycznej oraz propozycje zastosowania kwantowego zjawiskaHall do budowy qubitu - podstawowego elementu przyszłych komputerów kwantowych. Na zakończenie wykładu przedstawię kilka zagadnień związanych z zastosowaniem urządzeń jednoelektronowych w metrologii i tzw. metrologią kwantową, która w wykorzystaniu kwantowych praw szuka metod pomiaru z precyzją większą niż 1/√N.
Czasopismo
Rocznik
Tom
Strony
113-124
Opis fizyczny
Bibliogr. 18 poz., rys., wykr.
Twórcy
autor
- M. Curie-Sklodowska University, Institute of Physics, 20-031 Lublin, Poland, karol@tytan.umcs.lublin.pl
Bibliografia
- 1. Forte F.: Quantum mechanics and field theory with fractional spin and statistics, Reviews of Modern Physics, vol. 64, no. 1, 1992, pp. 193-236.
- 2. Hall E. H.: On a New Action of the Magnet on Electric Currents. American Journal of Mathematics, vol. 2, 1879, pp. 287 - 292.
- 3. Ashcroft N. W, Mermin N. D.: Solid State Physics (Holt, Rinehart and Winston, New York) ch. 1., 1976.
- 4. von Klitzing K., Dorda G., Pepper M.: New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resitance, Physical Review Letters vol. 45, no. 6, 1980, pp 494 - 497.
- 5. von Klitzing K.: Physics and application of the quantum Hall effect, Physica B, vol. 204, 1995, pp. 111-116.
- 6. von Klitzing Klaus: The quantized Hall effect, Reviews of Modern Physics, vol. 58, no. 3, 1986, pp. 519-531.
- 7. Laughlin R. B.: Quantized Hall conductivity in two dimensions, Physical Review B, vol. 23, no. 10, 1981, pp. 5632-5633; Laughlin R. B.: Nobel Lecture: Fractional quantization, Reviews of Modern Physics vol. 71, no. 4, 1999, pp. 863-874.
- 8. Wysokiński K. I.: Integer and fractional quantum Hall effects, European Journal of Physics, vol. 21, 2000, pp. 535-548; Introduction to Quantum Hall Effects, Acta Physica Polonica A, vol. 100, no. 3, pp. 287-299.
- 9. Huckestein Bodo: Scaling theory of the integer quantum Hall effect, Reviews of Modern Physics vol. 67, no. 2, 1995, pp. 357-396; Yennie D. R.: Integral quantum Hall effect for nonspecialists, Reviews of Modern Physics vol. 59, no. 3, 1987, pp. 781-824.
- 10. Tsui D. C.: Nobel Lecture: Interplay of disorder and interaction in twodimensional electron gas in intense magnetic fields, Reviews of Modern Physics, vol. 71, no. 4, 1999, pp. 891-895.
- 11. Stormer Horst L.: Nobel Lecture: The fractional quantum Hall effect, Reviews of Modern Physics vol. 71, no. 4, 1999, pp. 875-889.
- 12. Prange R. E., Girvin S. M. (eds.): The Quantum Hall Effect (Springer, Berlin), 1986; Janssen M, Viehweger O, Fastenrath U., Hajdu J.: Introduction to the Theory of the Integer Quantum Hall Effect (VCH, Weinheim), 1994; Thouless D. J.: Topological Quantum Numbers in Nonrelativistic Physics (World Scientific, Singapore) ch. 7, 1998; Fradkin E. 1991 Field Theories of Condensed Matter Physics, (Addison-Wesley Publ. Co.) ch. 10, 1991; Chakraborty T., Petilainen R.: The Quantum Hall Effects, (Springer Series in Solid State Sciences, no. 85, Springer, New York), 1995.
- 13. Bachmair H., Göbel E.O., Hein G., Melcher J., Schumacher B., Schurr J., Shweitzer L., Warnecke P.: The von Klitzing resistance standard, Physica E vol. 20, 2003, pp. 14-23; Arri E., Andreone D., Boella G., Cabiati F., Marullo Reedtz G.: Measurement vol. 22, 1997, pp. 69-73.
- 14. Kane E. B.: A silicon - based nuclear spin quantum computer, Nature vol. 393, 1998, pp. 133-137.
- 15. Privman V., Vagner I.D., Kventsel G.: Quantum computation in quantum-Hall systems, Physics Letters A, vol. 239, 1998, pp. 141-146; Mozyrsky D., Privman V., Vagner I.D.: Nuclear-spin dephasing time in the integer quantum Hall regime, Physical Review B, vol. 63, 2001, 085313 (6 pages);
- 16. Averin D. V., Goldman V. J.: Quantum computation with quasiparticles of the fractional quantum Hall effect, Solid State Communications, vol. 21, 2002, pp. 25-28; Das Sarma S., Freedman M., Nayak Ch.: Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State, Physical Review Letters, vol. 94, 2005, 166802 (4 pages).
- 17. Flensberg K., Odintsov A. A., Liefrink F., Teunissen P.: Towards single-electron metrology, International Journal of Modern Physics B, vol. 13, Nos. 21&22, 1999, pp. 2651-2687.
- 18. Giovannetti V., Lloyd S., Maccone L.: Quantum-Enhanced Measurements: Beating the Standard Quantum Limit, Science, vol. 306, Issue 5700, 2004, pp. 1330-1343; Quantum Metrology, Physical Review Letters, vol. 96, 2006, article no. 010401 (4 pages).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0022-0017