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Phys. Rev. B 15, 901–908 (1977)

Gaussian relaxation method. I. Homopolar tetrahedral solids

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Eugene J. Mele and J. D. Joannopoulos*
Department of Physics, Research Laboratory of Electronics, Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 5 October 1976; published in the issue dated 15 January 1977

We present a method for extending an empirical tight-binding theory to the calculation of densities of states of very large but finite systems. We also derive a set of bond-centered analytic wave functions which can be used to obtain realistic energy-dependent charge densities from a tight-binding calculation. As an example, we apply the method to a model homopolar tetrahedral solid representative of Ge.

© 1977 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.15.901
DOI:
10.1103/PhysRevB.15.901
PACS:

*Supported by the Alfred P. Sloan Foundation.