Theoretical Aspects of Conducting Polymers: Electronic Structure and Defect States |
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Page 19
... ground state has been described many times ( e.g. Longuet - Higgins and Salem 1959 Su et al . 1980 ) . · Inserting the Ansatz r r Fn = Fo + ( -1 ) " y into the π - electron Hamiltonian , Eq . ( 1 ) , and using the parametrization - 19 -
... ground state has been described many times ( e.g. Longuet - Higgins and Salem 1959 Su et al . 1980 ) . · Inserting the Ansatz r r Fn = Fo + ( -1 ) " y into the π - electron Hamiltonian , Eq . ( 1 ) , and using the parametrization - 19 -
Page 44
... Ansatz varying the length & They obtained an extent l≈ 7 · and an energy Ek ≈ 0.64 2 = un ( −1 ) autanh ( n / l ) and by • One of the remarkable properties of the continuum model is its ability to produce analytical results for the ...
... Ansatz varying the length & They obtained an extent l≈ 7 · and an energy Ek ≈ 0.64 2 = un ( −1 ) autanh ( n / l ) and by • One of the remarkable properties of the continuum model is its ability to produce analytical results for the ...
Page 45
... Ansatz △ ( x ) = A tanh ( x / 5 ) , where = hv yields an exact solution of the continuum model . Since this is an odd function , i.e. △ ( -L / 2 ) = -A ( L / 2 ) , we choose , in agreement with Eqs . ( 32 ) and ( 33 ) , the following ...
... Ansatz △ ( x ) = A tanh ( x / 5 ) , where = hv yields an exact solution of the continuum model . Since this is an odd function , i.e. △ ( -L / 2 ) = -A ( L / 2 ) , we choose , in agreement with Eqs . ( 32 ) and ( 33 ) , the following ...
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