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

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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
Pages (from-to)4178-4185
Number of pages8
JournalPhysical Review B
Volume32
Issue number6
DOIs
Publication statusPublished - 1985

Fingerprint

Polyenes
Hamiltonians
Fermions
fermions
formalism
propagation
Mathematical operators
excitation
operators
Jordan
Excitation energy
valence
rings
configurations
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Fermion-propagator calculations of excitations in polyenes with the use of a Heisenberg (XYZ) Hamiltonian. I. Formalism and parametrization. / Mujica, Vladimiro; Correia, Nestor; Goscinski, Osvaldo.

In: Physical Review B, Vol. 32, No. 6, 1985, p. 4178-4185.

Research output: Contribution to journalArticle

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