Construction of Wannier Functions in Disordered Systems

Junbo Zhu; Zhu Chen; Biao Wu

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arXiv · 1512.02043

Construction of Wannier Functions in Disordered Systems

Junbo Zhu·Zhu Chen·Biao Wu

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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.

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cond-mat.dis-nn cond-mat.mtrl-sci cond-mat.quant-gas

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Junbo Zhu, Zhu Chen, Biao Wu. 2015-12-23. Construction of Wannier Functions in Disordered Systems. https://arxiv.org/abs/1512.02043

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