Matrix Product Approach to Conjugated Polymers

Details Matrix Product Approach to Conjugated Polymers Matrix Product Approach to Conjugated Polymers

1999-08-04

arxiv.org/abs/cond-mat/9908066v1

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 2 figs and 3 tables. RevTex

Scientific paper

10.1103/PhysRevB.61.1841

The Matrix Product method (MPM) has been used in the past to generate variational ansatzs of the ground state (GS) of spin chains and ladders. In this paper we apply the MPM to study the GS of conjugated polymers in the valence bond basis, exploiting the charge and spin conservation as well as the electron-hole and spin-parity symmetries. We employ the $U-V-\delta$ Hamiltonian which is a simplified version of the PPP Hamiltonian. For several coupling constants $U$ and $V$ and dimerizations $\delta$ we compute the GS energy per monomer which agrees within a $2%-4%$ accuracy with the DMRG results. We also show the evolution of the MP-variational parameters in the weak and strong dimerization regimes.

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