RT Journal Article
T1 Energy-spectra of quasi-periodic systems via information entropy
A1 Maciá Barber, Enrique Alfonso
A1 Domínguez-Adame Acosta, Francisco
A1 Sánchez, Angel
AB We study the relationship between the electronic spectrum structure and the configurational order of one-dimensional quasiperiodic systems. We take the Fibonacci case as a specific example, but the ideas outlined here may be useful to accurately describe the energy spectra of general quasiperiodic systems of technological interest. Our main result concerns the minimization of the information entropy as a characteristic feature associated with quasiperiodic arrangements. This feature is shown to be related to the ability of quasiperiodic systems to encode more information, in the Shannon sense, than periodic ones. In the conclusion we comment on interesting implications of these results on further developments on the issue of quasiperiodic order.
PB American Physical Soc
SN 1063-651X
YR 1994
FD 1994-08
LK https://hdl.handle.net/20.500.14352/59399
UL https://hdl.handle.net/20.500.14352/59399
LA eng
NO [1] M. Kohmoto, L. P. Kadanoff, and C. Tang, Phys. Rev. Lett. 50, 1870 (1983). [2] R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, and P. K. Bhattacharya, Phys. Rev. Lett. 55, 1768 (1985). [3] J. Todd, R. Merlin, R. Clarke, K. M. Mohanty, and J. D. Axe, Phys. Rev. Lett. 57, 1157 (1986).[4] Q. Niu and F. Nori, Phys. Rev. Lett. 57, 2057 (1986); Phys. Rev. B 42, 10 329 (1990). [5] Y. Liu and W. Sritrakool, Phys. Rev. B 43, 1110 (1991). [6] G. Y. Oh and M. H. Lee, Phys. Rev. B 48, 12 465 (1993). [7] F. Laruelle and B. Etienne, Phys. Rev. B 37, 4816 (1988). [8] M. Nakayama, H. Kato, and S. Nakashima, Phys. Rev. B 36, 3472 (1987).[9] K. Kono, S. Nakada, Y. Narahara, and Y. Ootuka, J. Phys. Soc. Jpn. 60, 368 (1991). [10] D. Tuet, M. Potemski, Y. Y. Wang, J. C. Maan, L. Tapfer, and K. Ploog, Phys. Rev. Lett. 66, 2128 (1991).[11] F. Dominguez-Adame and A. Sanchez, Phys. Lett. A 159, 153 (1991).[12]E. Macia, F. Dominguez-Adame, and A. Sanchez, Phys. Rev. B 49, 9503 (1994). [13] S. Douady and Y. Couder, Phys. Rev. Lett. 6$, 2098 (1992). [14] L. S. Levitov, Europhys. Lett. 14, 533 (1991). [15] P. Erdos and R. C. Herndon, Helv. Phys. Acta 50, 109 (1977). [16] M. Baake, D. Joseph, and P. Kramer, Phys. Lett. A 161, 153 (1991). [17] A. Cordelli, G. Grosso, aud G. P. Parraviciui, Phys. Rev. B 48, 11 567 (1993). [18] J. M. Luck, Phys. Rev. B 39, 5834 (1989).[19] L. Y. He, X. Z. Li, Z. Zhang, and K. H. Kuo, Phys. Rev. Lett. 61, 1116(1988). [20] M. S. Robertson, Statistica/ Thertttophysics (Prentice-Hall, Englewood Cliffs, NJ, 1993).
NO © 1994 The American Physical Society.This work is partially supported by UCM under Project No. PR161/93-4811. A.S. is partially supported by DGICyT (Spain) through Project No. PB92-0248, and by the European Union Human Capital and Mobility Programme through Contract No. ERBCHRXCT930413. We thank M. V. Hernandez for a critical reading of the manuscript.
NO UCM
NO DGICyT (Spain)
NO European Union
DS Docta Complutense
RD 28 abr 2024