Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-07-05
J. Phys.: Condens. Matter 13 (2001) 8121-8134
Physics
Condensed Matter
Disordered Systems and Neural Networks
17 pages; 5 figures; to be published in Journal of Physics: Condensed Matter
Scientific paper
10.1088/0953-8984/13/35/317
Persistent currents and Drude weights are investigated for the tight-binding approximation to one-dimensional rings threaded by a magnetic flux and with 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 shown 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 the more random the sequence does not imply the smaller conducting properties. This discrepancy between the hierarchy of disorder of the sequences and the capacity of conduction of the system is explained by the gaps in the energy spectra.
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