Going beyond k.p theory: a general method for obtaining effective Hamiltonians in both high and low symmetry situations

  title={Going beyond k.p theory: a general method for obtaining effective Hamiltonians in both high and low symmetry situations},
  author={N. Ray and Facundo Emanuel Rost and D Weckbecker and Michael Vogl and S. Sharma and R. C. Gupta and O. A. Pankratov and S. Shallcross Lehrstuhl fur Theoretische Festkorperphysik and Erlangen and H Germany and Max-Planck-Institut fur Mikrostrukturphysik and Hall{\'e}},
We provide a method for the generation of effective continuum Hamiltonians that goes beyond the well known k.p method in being equally effective in both high and no symmetry systems, as well as for situations involving both perturbative as well as non-perturbative structural deformations. This, as we demonstrate, provides for the emerging realm of low dimensional materials a method with the wide applicability and usefulness that the k.p method brings to the study of three dimensional materials… 
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