Effect of Hilbert space truncation on Anderson localization
Disordered Systems and Neural Networks
2018-05-21 v3 Other Condensed Matter
Quantum Physics
Abstract
The 1-D Anderson model possesses a completely localized spectrum of eigenstates for all values of the disorder. We consider the effect of projecting the Hamiltonian to a truncated Hilbert space, destroying time reversal symmetry. We analyze the ensuing eigenstates using different measures such as inverse participation ratio and sample-averaged moments of the position operator. In addition, we examine amplitude fluctuations in detail to detect the possibility of multifractal behavior (characteristic of mobility edges) that may arise as a result of the truncation procedure.
Keywords
Cite
@article{arxiv.1802.05687,
title = {Effect of Hilbert space truncation on Anderson localization},
author = {Akshay Krishna and R. N. Bhatt},
journal= {arXiv preprint arXiv:1802.05687},
year = {2018}
}
Comments
20 pages, 23 figures