Is the quantum hall effect influenced by the gravitational field?

Physical Review Letters

Volumn 93, Issue 9, 2004, Pages

  Hehl, Friedrich W ^a,b   Obukhov, Yuri N ^a,c   Rosenow, Bernd ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

^b UNIVERSITY OF MISSOURI   (United States)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT DENSITY; ELECTRODYNAMICS; ELECTROMAGNETIC FIELD EFFECTS; ELECTRON GAS; HALL EFFECT; HAMILTONIANS; KINETIC ENERGY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MAXWELL EQUATIONS; PERTURBATION TECHNIQUES;

GRAVITATIONAL FIELDS; QUANTUM HALL; QUANTUM HALL RESISTANCE (QHR); QUANTUM NUMBERS;

QUANTUM THEORY;

EID: 19544375954     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.096804     Document Type: Article

References (39)

1. C. M. Will, Living Rev. Relat. 4, 103 (2001).
2. The Quantum Hall Effect, edited by R. E. Prange and S. M. Girvin (Springer, Heidelberg, Germany, 1992).
3. M. Janssen, O. Viehweger, U. Fastenrath, and J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect (VCH, Weinheim, Germany, 1994).
4. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (2003).
5. J. E. Avron, D. Osadchy, and R. Seiler, Phys. Today 56, No. 8, 38 (2003), and references therein.
6. J. L. Flowers and B. W. Petley, Rep. Prog. Phys. 64, 1191 (2001).
7. P. J. Mohr and B. N. Taylor, Rev. Mod. Phys. 72, 351 (2000).
8. J.-P. Uzan, Rev. Mod. Phys. 75, 403 (2003).
9. Astrophysics, Clocks and Fundamental Constants, edited by S. Karshenboim and E. Peik (Springer, New York, 2004).
10. B. Jeckelmann and B. Jeanneret, Rep. Prog. Phys. 64, 1603 (2001); see also B. Jeckelmann, B. Jeanneret, and D. Inglis, Phys. Rev. B 55, 13124 (1997).
11. B. Jeckelmann and B. Jeanneret, Rep. Prog. Phys. 64, 1603 (2001); see also B. Jeckelmann, B. Jeanneret, and D. Inglis, Phys. Rev. B 55, 13124 (1997).
12. B. Jeckelmann (private communication).
13. U. R. Fischer, C. Häussler, J. Oppenländer, and N. Schopohl, Phys. Rev. B 64, 214509 (2001); see also U. R. Fischer and N. Schopohl, Europhys. Lett. 54, 502 (2001).
14. U. R. Fischer, C. Häussler, J. Oppenländer, and N. Schopohl, Phys. Rev. B 64, 214509 (2001); see also U. R. Fischer and N. Schopohl, Europhys. Lett. 54, 502 (2001).
15. N. Li and D. G. Torr, Phys. Rev. B 46, 5489 (1992); M. Kowitt, Phys. Rev. B 49, 704 (1994).
16. N. Li and D. G. Torr, Phys. Rev. B 46, 5489 (1992); M. Kowitt, Phys. Rev. B 49, 704 (1994).
17. I. E. Bulyzhenkov, Phys. Lett. A 185, 155 (1974); J. Anandan, Classical Quantum Gravity 1, L51 (1984); B. J. Ahmedov and M. J. Ermamatov, Found Phys. Lett. 15, 137 (2002).
18. I. E. Bulyzhenkov, Phys. Lett. A 185, 155 (1974); J. Anandan, Classical Quantum Gravity 1, L51 (1984); B. J. Ahmedov and M. J. Ermamatov, Found Phys. Lett. 15, 137 (2002).
19. I. E. Bulyzhenkov, Phys. Lett. A 185, 155 (1974); J. Anandan, Classical Quantum Gravity 1, L51 (1984); B. J. Ahmedov and M. J. Ermamatov, Found Phys. Lett. 15, 137 (2002).
20. G. Papini, Phys. Lett. A 26, 589 (1968); Ø. Grøn and K. Vøyenli, Eur. J. Phys. 3, 210 (1982).
21. G. Papini, Phys. Lett. A 26, 589 (1968); Ø. Grøn and K. Vøyenli, Eur. J. Phys. 3, 210 (1982).
22. L. I. Schiff and M. V. Barnhill, Phys. Rev. 151, 1067 (1966); F. C. Witteborn and W. M. Fairbank, Phys. Rev. Lett. 19, 1049 (1967); A.J. Dessler, F. C. Michel, H. E. Rorschach, and G. T. Trammell, Phys. Rev. 168, 737 (1968).
23. L. I. Schiff and M. V. Barnhill, Phys. Rev. 151, 1067 (1966); F. C. Witteborn and W. M. Fairbank, Phys. Rev. Lett. 19, 1049 (1967); A.J. Dessler, F. C. Michel, H. E. Rorschach, and G. T. Trammell, Phys. Rev. 168, 737 (1968).
24. L. I. Schiff and M. V. Barnhill, Phys. Rev. 151, 1067 (1966); F. C. Witteborn and W. M. Fairbank, Phys. Rev. Lett. 19, 1049 (1967); A.J. Dessler, F. C. Michel, H. E. Rorschach, and G. T. Trammell, Phys. Rev. 168, 737 (1968).
25. T.W. Darling, F. Rossi, G. I. Opat, and G. F. Moorhead, Rev. Mod Phys. 64, 237 (1992).
26. F.W. Hehl and Yu. N. Obukhov, Foundations of Classical Electrodynamics: Charge, Flux, and Metric (Birkhäuser, Boston, MA, 2003).
27. J. A. Schouten, Tensor Analysis for Physicists (Dover, Mineola, New York, 1989), 2nd ed reprinted.
28. kl, is used as current; see C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
29. J. Fröhlich and U. M. Studer, Rev. Mod Phys. 65, 733 (1993).
30. A. Zee, Lecture Notes in Physics (Springer, Berlin, 1995), Vol. 456, p. 99.
31. R. Jackiw, Phys. Rev. D 29, 2375 (1984); C. R. Hagen, Phys. Rev. D 31, 2135 (1985).
32. R. Jackiw, Phys. Rev. D 29, 2375 (1984); C. R. Hagen, Phys. Rev. D 31, 2135 (1985).
33. B. I. Halperin, Phys. Rev. B 25, 2185 (1982).
34. M. Büttiker, Phys. Rev. B 38, 9375 (1988).
35. F.W. Hehl and W.-T. Ni, Phys. Rev. D 42, 2045 (1990); Yu. N. Obukhov, Phys. Rev. Lett. 86, 192 (2001).
36. F.W. Hehl and W.-T. Ni, Phys. Rev. D 42, 2045 (1990); Yu. N. Obukhov, Phys. Rev. Lett. 86, 192 (2001).
37. E. I. Rashba, Fiz. Tverd Tela 2, 1224 (1960) [Sov. Phys. Solid State 2, 1109 (1960)].
38. E. I. Rashba, Fiz. Tverd Tela 2, 1224 (1960) [Sov. Phys. Solid State 2, 1109 (1960)].
39. B. Gonul, O. Ozer, B. Gonul, and F. Uzgun, Mod Phys. Lett. A 17, 2453 (2002).