Conjugated Conducting Polymers |
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Page 71
Hubbard model , it is necessary to go to second order in U to see the
enhancement of dimerization , since there is no effect of U alone in first order ( 2 .
167 ] . A real space renormalization group approach [ 2 . 185 ] combines both
analytical ...
Hubbard model , it is necessary to go to second order in U to see the
enhancement of dimerization , since there is no effect of U alone in first order ( 2 .
167 ] . A real space renormalization group approach [ 2 . 185 ] combines both
analytical ...
Page 91
126 , 135 , 136 ] . Here the 2A , becomes simply a spin - wave excitation , which
is gapless in the limit of no dimerization and U + 00 , while the optical ' B , state
must involve a charge excitation , which will be at energy U + 00 ( recall Sect . 2 .
126 , 135 , 136 ] . Here the 2A , becomes simply a spin - wave excitation , which
is gapless in the limit of no dimerization and U + 00 , while the optical ' B , state
must involve a charge excitation , which will be at energy U + 00 ( recall Sect . 2 .
Page 109
One may thus wonder whether the dimerization survives quantum fluctuations at
all . Both numerical and analytical calculations ( 2 . 161 - 163 , 394 – 397 ] show
that the long - range order of the dimerization does persist . The effect of ...
One may thus wonder whether the dimerization survives quantum fluctuations at
all . Both numerical and analytical calculations ( 2 . 161 - 163 , 394 – 397 ] show
that the long - range order of the dimerization does persist . The effect of ...
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Contents
Introduction | 1 |
An Overview of the Theory of rConjugated Polymers | 7 |
References | 114 |
Copyright | |
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absorption addition applied approach approximation atoms band behaviour bipolarons bond bond alternation calculations carriers chain charged chemical concentration conductivity configuration conjugated polymers contribution correlation corresponding Coulomb Coulomb interactions coupling decreases defects density dependence described determined dimerization discussed dopant doping effects electron electron-electron energy excitations expected experimental experiments field finite frequency function give ground Hamiltonian hopping Hubbard important increase indicated interactions interpretation involving lattice leads length Lett limit localized magnetic materials measurements metallic methods modes molecules motion neutral nuclear observed obtained optical pair parameter peak phonon Phys Physics polarons polyacetylene polyenes polymers position properties range relaxation resonance respect samples Sect separation shift shown shows similar single soliton spectra spectrum spin structure studies symmetry Synth temperature theoretical theory trans-(CH transition units valence values whereas