Matrix Product Approach to Conjugated Polymers

Abstract

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 $2$ accuracy with the DMRG results. We also show the evolution of the MP-variational parameters in the weak and strong dimerization regimes.

18 pages, 2 figs and 3 tables. RevTex

References in corpus (7)

• Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains
• The density matrix renormalization group method. Application to the PPP model of a cyclic polyene chain
• Quantum confinement effects on the ordering of the lowest-lying excited states in conjugated chains
• The Matrix Product Approach to Quantum Spin Ladders
• The Short Range RVB State of Even Spin Ladders: A Recurrent Variational Approach
• Density matrix renormalization group study of dimerization of the Pariser-Parr-Pople model of polyacetilene
• Identification of excitons in conjugated polymers: a density matrix renormalisation group study

Cited by in corpus (1)

• Stripe Ansatzs from Exactly Solved Models