Valence bond theory of narrow-band conductors

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50 Citations (Scopus)

Abstract

A diagrammatic valence bond (VB) theory is introduced for solids with one valence state per site, Coulomb intersite interactions, and nearest-neighbor electron transfers leading to a bandwidth 4 |t|. The VB method is applied to partly-filled regular segregated stacks of acceptors (A) and donors (D), which occur in all π-molecular organic conductors. The dimensions of the site representation for Ne = γN electrons or holes on N > Ne sites are found, each VB assignment is represented by a diagram, and the interconnection of these many-electron site functions due to electron transfers is also obtained diagrammatically. The resulting configuration interaction (CI) between all orbital assignments is solved exactly in subspaces of total spin, S. The complete thermodynamics of Ne = 4 electrons on chains of N = 4, 5, 6, and 7 sites are found for the Hubbard choice of on-site repulsion, U. The VB method extends the computation of the susceptibility χ(T) of partly-filled Hubbard models to the previously inaccessible regime U ∼ 4|t| which, however, is suggested by experiment. Comparison with absolute χ(T) data for TTF-TCNQ is slightly improved for U ∼ 4|t| = 0.56 eV. Extensions of the VB method to more realistic potentials, to other data, and to N → ∞ extrapolations are discussed.

Original languageEnglish (US)
Pages (from-to)77-94
Number of pages18
JournalSynthetic Metals
Volume1
Issue number1
DOIs
StatePublished - 1979
Externally publishedYes

Fingerprint

narrowband
conductors
valence
Electrons
Organic conductors
electron transfer
Hubbard model
N electrons
Coulomb interactions
Extrapolation
configuration interaction
extrapolation
Thermodynamics
electrons
Bandwidth
diagrams
bandwidth
magnetic permeability
orbitals
thermodynamics

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Materials Chemistry
  • Polymers and Plastics

Cite this

Valence bond theory of narrow-band conductors. / Mazumdar, Sumitendra; Soos, Z. G.

In: Synthetic Metals, Vol. 1, No. 1, 1979, p. 77-94.

Research output: Contribution to journalArticle

Mazumdar, Sumitendra ; Soos, Z. G. / Valence bond theory of narrow-band conductors. In: Synthetic Metals. 1979 ; Vol. 1, No. 1. pp. 77-94.
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