Fermion-propagator calculations of excitations in polyenes with the use of a Heisenberg (XYZ) Hamiltonian. I. Formalism and parametrization

Vladimiro Mujica, Nestor Correia, Osvaldo Goscinski

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An effective spin operator of the Heisenberg type is used for studying the low-lying excitation spectrum of linear polyenes. A Jordan-Wigner transformation allows one to write the spin Hamiltonian in terms of fermion operators, and a single-fermion propagator is employed for calculating the excitation energies of the system. The correlated reference states for the propagator are expressed in terms of neutral valence-bond fermion configurations. Results are given for small linear polyenes with N sites. Some results for small rings are also given.

Original languageEnglish (US)
Pages (from-to)4178-4185
Number of pages8
JournalPhysical Review B
Issue number6
Publication statusPublished - 1985
Externally publishedYes


ASJC Scopus subject areas

  • Condensed Matter Physics

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