Optical absorption of strongly correlated half-filled Mott-Hubbard chains

F. Gebhard, K. Bott, M. Scheidler, P. Thomas, Stephan W Koch

Research output: Contribution to journalArticle

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Abstract

In this, the last of three articles on the optical absorption of electrons in a half-filled Peierls-distorted chain, we address the dimerized extended Hubbard model in the limit of a large on-site interaction U. When the Hubbard interaction is large compared with both the bandwidth W and the nearest-neighbour interaction V, the charge dynamics are property described by the Harris-Lange model. This model can be exactly mapped onto a model of Tree spinless fermions in parallel (Hubbard) bands of width W which are eventually Peierls split. To determine the coherent absorption features at low temperatures, we design and employ the 'no-recoil approximation' in which we assume that the momentum transfer to the spin degrees of freedom can only be Δqs = 0 or Δqs = π/a during an optical excitation We present explicit analytical results for the optical absorption in the presence of a lattice dimerization δ and a nearest-neighbour interaction V for the Néel and dimer state We find that the coherent part of the optical absorption for V = 0 is given by a single peak at ω = U and broad but weak absorption bands for Wδ≤|ω - U|≤W. The central peak at ω = U vanishes only for δ = 0 in the Néel state. For an appreciable nearest-neighbour interaction V > W/2, almost all spectral weight is transferred to the Δqc = 0 exciton and the Δqc = π/a exciton, whose relative spectral weights depend very sensitively on both the lattice and the spin dimerization of the ground state.

Original languageEnglish (US)
Pages (from-to)47-65
Number of pages19
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume75
Issue number1
StatePublished - Jan 1997
Externally publishedYes

Fingerprint

Light absorption
optical absorption
Dimerization
Excitons
Hubbard model
dimerization
Fermions
Momentum transfer
Photoexcitation
interactions
Crystal lattices
Dimers
Ground state
excitons
Absorption spectra
Bandwidth
Electrons
dynamic characteristics
momentum transfer
degrees of freedom

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Physics and Astronomy(all)

Cite this

Optical absorption of strongly correlated half-filled Mott-Hubbard chains. / Gebhard, F.; Bott, K.; Scheidler, M.; Thomas, P.; Koch, Stephan W.

In: Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties, Vol. 75, No. 1, 01.1997, p. 47-65.

Research output: Contribution to journalArticle

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