Journal
PHYSICAL REVIEW LETTERS
Volume 84, Issue 7, Pages 1427-1430Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.84.1427
Keywords
-
Categories
Ask authors/readers for more resources
We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model isa quantum graph analogous to an aperiodic Kronig-Penney model in one dimension. The exact expression for the probability to return to an initially localized state is computed in terms of classical trajectories. It saturates to a finite value due to localization, while the diagonal approximation decays diffusively. Our theory is based on the identification of families of isometric orbits. The coherent periodic-orbit sums within these families, and the summation over ail families, are performed analytically using advanced combinatorial methods.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available