Crystalline conductance and absolutely continuous spectrum of 1D samples
Mathematical Physics
2016-05-25 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
We characterize the absolutely continuous spectrum of half-line one-dimensional Schr\"odinger operators in terms of the limiting behavior of the Crystaline Landauer-B\"uttiker conductance of the associated finite samples.
Keywords
Cite
@article{arxiv.1512.00099,
title = {Crystalline conductance and absolutely continuous spectrum of 1D samples},
author = {Laurent Bruneau and Yoram Last and Vojkan Jaksic and Claude-Alain Pillet},
journal= {arXiv preprint arXiv:1512.00099},
year = {2016}
}