Optical excitations of Peierls–Mott insulators with bond disorder

2004/05/31 by J. Rissler, Jörg Rissler, E. Jeckelmann +2 · 7 citations
Materials Science · Physics and Astronomy · #Condensed matter physics #Density matrix renormalization group #Electron #Hubbard model #Mott insulator #Optical conductivity #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Renormalization group #Superconductivity #cond-mat.str-el

paper · pdf · doi:10.1088/0953-8984/17/26/009

published in Journal of Physics Condensed Matter 17(26), 4093-4110 (IOP Publishing) · 12 pages, 13 figures, submitted to Phys. Rev. B

openalex publication_date 2005/06/17 · arxiv created 2005/07/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The density-matrix renormalization group (DMRG) is employed to calculate optical properties of the half-filled Hubbard model with nearest-neighbor interactions. In order to model the optical excitations of oligoenes, a Peierls dimerization is included whose strength for the single bonds may fluctuate. Systems with up to 100 electrons are investigated, their wave functions are analyzed, and relevant length-scales for the low-lying optical excitations are identified. The presented approach provides a concise picture for the size dependence of the optical absorption in oligoenes.

Citations

• Solitons in conducting polymers
• The theory of impurity conduction
• Density-matrix algorithms for quantum renormalization groups
• Ab InitioCalculation of the Electronic and Optical Excitations in Polythiophene: Effects of Intra- and Interchain Screening
• Electrical resistance of disordered one-dimensional lattices

Cited by

• Excited states in polydiacetylene chains: A density matrix renormalization group study