2001/07/05 by G. Q. Pellegrino, Giancarlo Queiroz Pellegrino
Materials Science · Physics and Astronomy · #Phase-change materials and chalcogenides #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1088/0953-8984/13/35/317
published as J. Phys.: Condens. Matter 13 (2001) 8121-8134 · 17 pages; 5 figures; to be published in Journal of Physics: Condensed Matter
arxiv created 2001/07/05 · openalex publication_date 2001/08/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Persistent currents and Drude weights are investigated using the tight-binding approximation to one-dimensional rings threaded by a magnetic flux and with the potential given by some almost-periodic substitution sequences with different degrees of randomness, and for various potential strengths. The Drude weight D distinguishes correctly conductors and insulators, in accordance with the results indicated by the currents. In the case of insulators the decay of D ( N ) for large ring lengths N provides an estimate for the localization length of the system. It is shown that a more random sequence does not imply reduced conduction. This discrepancy between the hierarchy of disorder of the sequences and the capacity for conduction of the system is explained by the gaps in the energy spectra.