Construction of Wannier Functions in Disordered Systems
Disordered Systems and Neural Networks
2015-12-24 v3 Materials Science
Quantum Gases
Abstract
We propose a general method of constructing Wannier functions in disordered systems directly out of energy eigenstates. This method consists of two successive operations: (i) a phase transformation setting the proper localization center; (ii) the mixing of adjacent states in energy to sufficiently minimize the spread of the Wannier functions. The latter operation can be well approximated by a band matrix, further facilitating the calculation. Detailed implementation of our method is illustrated with one dimensional systems; the generalization to higher dimensions is straightforward.
Cite
@article{arxiv.1512.02043,
title = {Construction of Wannier Functions in Disordered Systems},
author = {Junbo Zhu and Zhu Chen and Biao Wu},
journal= {arXiv preprint arXiv:1512.02043},
year = {2015}
}
Comments
7 pages, 4 figures