dc conductivity in one-dimensional incommensurate systems
- 15 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (8) , 5247-5252
- https://doi.org/10.1103/physrevb.34.5247
Abstract
Using the Landauer formula to calculate the conductivity of a one-dimensional system with incommensurate potentials, we have located the mobility edges and determined the metal-insulator phase diagram. Near the mobility edge the conductivity shows a superperiodic structure with predictable superperiods which are characteristic to the incommensurate potentials. We have obtained the critical exponent ≃1 for the localization length on the insulating side, and the critical exponent ≃0.5 for the conductivity on the metallic side. The validity of a simple scaling theory is checked.Keywords
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