Abstract
The exact probability distributions of the resistance , the conductance, and are calculated for the 1D Anderson model with purely off-diagonal disorder at . Analysis of the distribution yields the surprising results that grows exponentially with length, despite previous studies indicating that the state at is extended, and the typical resistance increases as . The relationship between this behavior and the temperature dependence of the resistance of thin wires is discussed.
- Received 25 February 1981
DOI:https://doi.org/10.1103/PhysRevB.24.3592
©1981 American Physical Society