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Dimerization of polyacetylene treated as a spin-Peierls distortion of the Heisenberg Hamiltonian

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Extracting a bond-length-dependent Heisenberg-like Hamiltonian from the potential-energy surfaces of the two lowest states of ethylene, it is possible to study the geometry of polyacetylene by minimization of the cohesive energy, using both variational-cluster and Rayleigh-Schrödinger perturbative expansions. The dimerization amplitude is satisfactorily reproduced. Optimizing the variational-cluster-expansion total energy with the equal-bond-length constraint, the barrier to reversal of alternation is obtained. The alternating-to-regular phase transition is treated from the Néel-state starting function and appears to be of second order.

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GARCÍA BACH, Ma. de los ángeles, BLAISE, P., MALRIEU, J. p.. Dimerization of polyacetylene treated as a spin-Peierls distortion of the Heisenberg Hamiltonian. _Physical Review B_. 1992. Vol. 46, núm. 24, pàgs. 15645-15651. [consulta: 25 de febrer de 2026]. ISSN: 0163-1829. [Disponible a: https://hdl.handle.net/2445/9734]

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