J. Phys. Soc. Jpn. 67 (1998) pp. 1856-1859 |Next Article| |Table of Contents|
|Full Text PDF (164K)| |Buy This Article|
Spectral Properties of the Chalker-Coddington Network
Marcus Metzler and
Imre Varga1,
Department of Physics, Toho University, Miyama 2-2-1, Funabashi,
Chiba 274-8510
1Institut für Theoretische Physik, Unversität zu Köln,
Zülpicher Str. 77, D-50937 Köln, Germany
(Received April 9, 1998)
We numerically investigate the spectral statistics of quasienergies
for the unitary network operator U of the Chalker–Coddington network.
The shape of the level spacing distribution as well the scaling of its
moments is compared to known results for quantum Hall systems. We also
discuss the influence of multifractality on the tail of the spacing
distribution.
©1998 The Physical Society of Japan
KEYWORDS:
Chalker-Coddington model, level spacing distribution, scaling,
quantum Hall systems, multifractality
URL:
http://jpsj.ipap.jp/link?JPSJ/67/1856/
DOI: 10.1143/JPSJ.67.1856
- J. T. Chalker and P. D. Coddington:
J. Phys. C 21 (1988) 2665[IoP STACKS].
- R. Klesse and M. Metzler:
Europhys. Lett. 32 (1995) 229[CrossRef].
- R. Klesse and M. Metzler:
Phys. Rev. Lett. 79 (1997) 721[APS].
- M. Janssen, O. Viehweger, U. Fastenrath and J. Hajdu: Introduction to the Theory of the Integer Quantum Hall Effect (VCH, Weinheim, New York, Basel, Cambridge, Tokyo, 1994).
- D. H. Lee, Z. Wang and S. Kivelson:
Phys. Rev. Lett. 70 (1993) 4130[APS].
- B. Huckestein and R. Klesse:
Phys. Rev. B 55 (1997) R7303[APS].
- R. Klesse: Ph. D. Thesis, Universität zu Köln, AWOS-Verlag, Erfurt, 1996.
- J. T. Chalker, V. E. Kravtsov and I. V. Lerner:
JETP Lett. 64 (1996) 386[AIP Scitation].
- B. I. Shklovskii, B. Shapiro, B. R. Sears, P. Lambrianides and H. B. Shore:
Phys. Rev. B 47 (1993) 11487[APS].
- V. E. Kravtsov, I. V. Lerner, B. L. Altshuler and A. G. Aronov:
Phys. Rev. Lett. 72 (1994) 888[APS].
- A. G. Aranov, V. E. Kravtsov and I. V. Lerner: JETP Lett. 59 (1994) 39.
- D. Braun and G. Montambaux:
Phys. Rev. B 52 (1995) 13903[APS].
- S. N. Evangelou:
Phys. Rev. B 49 (1994) 16805[APS].
- Y. Ono, T. Ohtsuki and B. Kramer:
J. Phys. Soc. Jpn. 65 (1996) 1734[IPAP].
- H. A. Fertig:
Phys. Rev. B 38 (1988) 996[APS].
- M. L. Mehta: Random Matrices (Academic Press, New York, 1991) 2nd ed.
- M. Janssen: Int. J. Mod. Phys. 8 (1994) 943.
- B. L. Altshuler, I. Kh. Zharekeshev, S. A. Kotochigova and B. Shklovskii: JETP 67 (1988) 625.
- I. Kh. Zharakeshev and B. Kramer:
Jpn. J. Appl. Phys. 34(1995) 4361[IPAP].
- I. Varga, E. Hofstetter, J. Pipek and M. Schreiber:
Phys. Rev. B 52 (1995) 7783[APS].
- I. Varga, Y. Ono, T. Ohtsuki and J. Pipek:
Phys. Status Solidi B 205 (1998) 373[CrossRef].
- I. Varga, J. Pipek, M. Janssen and K. Pracz:
Europhys. Lett. 36 (1996) 437[CrossRef].
- H. Aoki and T. Ando:
Phys. Rev. Lett. 54 (1985) 831[APS].
- B. Huckestein and B. Kramer:
Phys. Rev. Lett. 64 (1990) 1473[APS].
- Y. Huo and R. N. Bhatt:
Phys. Rev. Lett. 68 (1992) 1375[APS].
- Dongzi Liu and S. Das Sarma:
Phys. Rev. B 49 (1994) 2677[APS].
- T. Ohtsuki and Y. Ono:
J. Phys. Soc. Jpn. 64 (1995) 4088[IPAP].
- M. Batsch and L. Schweitzer: High Magnetic Fields in the Physics of Semiconductors II: Proceedings of the International Conference, Würzburg 1996, ed. G. Landwehr and W. Ossan (World Scientific Publishers Co., Singapure, 1997) p. 47.
