Stability of the Peierls instability for ring-shaped molecules.

@article{Lieb1995StabilityOT,
  title={Stability of the Peierls instability for ring-shaped molecules.},
  author={Lieb and Nachtergaele},
  journal={Physical review. B, Condensed matter},
  year={1995},
  volume={51 8},
  pages={4777-4791}
}
We investigate the conventional tight-binding model of L π-electrons on a ring-shaped molecule of L atoms with nearest neighbor hopping. The hopping amplitudes, t(w), depend on the atomic spacings, w, with an associated distortion energy V (w). A Hubbard type on-site interaction as well as nearest-neighbor repulsive potentials can also be included. We prove that when L = 4k+2 the minimum energy E occurs either for equal spacing or for alternating spacings (dimerization); nothing more chaotic… CONTINUE READING
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