Summary
The density of states as a function of a magnetic field and the magnetoconductance of two- and three-dimensional quasicrystalline model systems are calculated in a simple tight-binding description. The zero-field spectra are known to show a very complicated spiky structure with many small gaps. A magnetic field leads to a more uniform distribution of the states. Correspondingly, the energy regions that show finite values for the magnetoconductance as a function of the Fermi energy become larger with a growing field. The investigation of the high-field behavior uncovers an interesting structure of the spectra that is quasiperiodic with the field. This quasiperiod can be explained as a simple interference of periods in the incommensurate ratio of the areas perpendicular to the flux contained in the cluster.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arai M., Tokihiro T., Fujiwara T. (1987): J. Phys. Soc. Jpn. 56, 1642
Behrooz A., Burns M.J., Deckman H., Levine D., Whitehead B., Chaikin P.M. (1986) : Phys. Rev. Lett. 57, 386
Böttger H., Bryksin V.V. (1985): Hopping Conduction in Solids, Akademie Verlag, Berlin
de Bruijn N.G. (1981): Mathematics A 84, 39
Choy T.C. (1987) : Phys. Rev. B 35, 1456
Danzer L. (1989) : Discr. Math. 76, 1
DiVincenco D.P., Steinhardt P.J. (1991) : Quasicrystals: The State of the Art, World Scientific, Singapore
Fujiwara T.: In [13], p. 294
Hatakeyama T., Kamimura H. (1989): J. Phys. Soc. Jpn. 58, 260
Hofstadter D.R. (1976): Phys. Rev. B 14, 2239
Jian Y. (1992) : Z. Phys. B 88, 141
Kasner G., Schwabe H., Böttger H. (1995): Phys. Rev. B 51, 10454
Kuo K.H., Ninomiya T. (1991): Quasicrystals, World Scientific, Singapore
Lindqvist P., Lanco P., Berger C., Jansen A.G.M., Cyrot-Lackmann F. (1995): Phys. Rev B 51, 4796
Odagaki T. (1986) : Solid State Commun. 60, 693
Rieth T., Schreiber M. (1995): Phys. Rev. B 51, 15827
Tsunetsugu H., Fujiwara T., Ueda K., Tokihiro T. (1991): Phys. Rev. B 43, 8879
Tsunetsugu H., Ueda K. (1991) : Phys. Rev. B 43, 8892
Ueda K., Tsunetsugu H. (1987): Phys. Rev. Lett. 58, 1272
Wang X.R. (1996) : Phys. Rev. B 53, 12035
Yamamoto S., Fujiwara T. (1995): Phys. Rev. B 51, 8841
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kasner, G., Wegmann, H., Böttger, H. (2002). Electron Transport in a Magnetic Field: A Landauer-Formula Approach. In: Suck, JB., Schreiber, M., Häussler, P. (eds) Quasicrystals. Springer Series in Materials Science, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05028-6_19
Download citation
DOI: https://doi.org/10.1007/978-3-662-05028-6_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08390-7
Online ISBN: 978-3-662-05028-6
eBook Packages: Springer Book Archive