English

Choosing a basis that eliminates spurious solutions in k.p theory

Materials Science 2007-07-02 v3

Abstract

A small change of basis in k.p theory yields a Kane-like Hamiltonian for the conduction and valence bands of narrow-gap semiconductors that has no spurious solutions, yet provides an accurate fit to all effective masses. The theory is shown to work in superlattices by direct comparison with first-principles density-functional calculations of the valence subband structure. A reinterpretation of the standard data-fitting procedures used in k.p theory is also proposed.

Keywords

Cite

@article{arxiv.cond-mat/0612640,
  title  = {Choosing a basis that eliminates spurious solutions in k.p theory},
  author = {Bradley A. Foreman},
  journal= {arXiv preprint arXiv:cond-mat/0612640},
  year   = {2007}
}

Comments

15 pages, 2 figures; v3: expanded with much new material

R2 v1 2026-07-22T11:41:31.158Z