Boundary multifractality in critical 1D systems with long-range hopping
Mesoscale and Nanoscale Physics
2007-05-23 v2 Disordered Systems and Neural Networks
Abstract
Boundary multifractality of electronic wave functions is studied analytically and numerically for the power-law random banded matrix (PRBM) model, describing a critical one-dimensional system with long-range hopping. The peculiarity of the Anderson localization transition in this model is the existence of a line of fixed points describing the critical system in the bulk. We demonstrate that the boundary critical theory of the PRBM model is not uniquely determined by the bulk properties. Instead, the boundary criticality is controlled by an additional parameter characterizing the hopping amplitudes of particles reflected by the boundary.
Cite
@article{arxiv.cond-mat/0611713,
title = {Boundary multifractality in critical 1D systems with long-range hopping},
author = {A. Mildenberger and A. R. Subramaniam and R. Narayanan and F. Evers and I. A. Gruzberg and A. D. Mirlin},
journal= {arXiv preprint arXiv:cond-mat/0611713},
year = {2007}
}
Comments
7 pages, 4 figures, some typos corrected