Boundary resistance and "pseudolocalization" in one-dimensional periodic systems

Abstract

The resistance of a one-dimensional periodic potential with large unit cell is analyzed as a function of Fermi energy and potential strength. We demonstrate that even in the allowed energy regions the resistance can be nonzero due to the boundary contributions. The analysis of the wave functions shows that the probabilities of finding a particle in various regions within the same unit cell can differ by many orders of magnitude.