Optical matrix elements in tight-binding models with overlap

Details Optical matrix elements in tight-binding models with overlap Optical matrix elements in tight-binding models with overlap

2005-07-08

arxiv.org/abs/cond-mat/0507204v1

Phys. Rev. B 72, 125105 (2005)

Physics

Condensed Matter

Materials Science

16 pages 6 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.72.125105

We investigate the effect of orbital overlap on optical matrix elements in empirical tight-binding models. Empirical tight-binding models assume an orthogonal basis of (atomiclike) states and a diagonal coordinate operator which neglects the intra-atomic part. It is shown that, starting with an atomic basis which is not orthogonal, the orthogonalization process induces intra-atomic matrix elements of the coordinate operator and extends the range of the effective Hamiltonian. We analyze simple tight-binding models and show that non-orthogonality plays an important role in optical matrix elements. In addition, the procedure gives formal justification to the nearest-neighbor spin-orbit interaction introduced by Boykin [Phys. Rev \textbf{B} 57, 1620 (1998)] in order to describe the Dresselahaus term which is neglected in empirical tight-binding models.

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