Theoretical Aspects of Conducting Polymers: Electronic Structure and Defect States |
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Page 30
... cut - off wavevector A which can be associated with an effective bandwidth . This cut - off will be essential for the properties of the ground state , in particular the value of the gap parameter which , according to Eq . ( 25 ) , is ...
... cut - off wavevector A which can be associated with an effective bandwidth . This cut - off will be essential for the properties of the ground state , in particular the value of the gap parameter which , according to Eq . ( 25 ) , is ...
Page 38
... of constructing effective field theories in which the electrons are " integrated out " . Gradient expansions based on Eq ... cut - off as △ a = 2 / e ( this brings also the gap equations into agreement ) . We conclude that ( 52 ) ( 53 ) ...
... of constructing effective field theories in which the electrons are " integrated out " . Gradient expansions based on Eq ... cut - off as △ a = 2 / e ( this brings also the gap equations into agreement ) . We conclude that ( 52 ) ( 53 ) ...
Page 48
... cut - offs for the two cases . For an odd - numbered chain with a single kink it follows that the cut - off A ' has to be chosen such that one electron is removed from the valence band . Using Eq . ( 63 ) A ' is related to A by - LA ...
... cut - offs for the two cases . For an odd - numbered chain with a single kink it follows that the cut - off A ' has to be chosen such that one electron is removed from the valence band . Using Eq . ( 63 ) A ' is related to A by - LA ...
Common terms and phrases
A.J. Heeger absorption amplitude approximation associated assume Baeriswyl band becomes Bishop bond alternation bond length bond order boundary calculations Campbell chain changes charge conducting configuration consider constant continuum limit correlation corresponds coupling defect density depend described determined dimerization discrete discuss disorder distortion dynamical effects electronic energy equation et al expected experiments extent field fluctuations force function given gives ground Hamiltonian hand Hückel impurity increasing integral interaction interchain coupling involved kink lattice leads Lett levels limit MacDiarmid Mele modes Notice observed obtained optical parameter particular Peierls phase phonon Phys Physics points polaron polyacetylene polymers potential presented produced properties proposed represents respect Rice Schrieffer self-consistency shown single Solid soliton solution strongly structure temperature theory whereas yields