Theoretical Aspects of Conducting Polymers: Electronic Structure and Defect States |
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Page 7
... Hamiltonian . 4 . To choose the eigenfunctions of this Hamiltonian as linear combinations of atomic orbitals which are assumed to be orthonormal ( Wannier - type ) states . 5 . To neglect all matrix elements of the effective Hamiltonian ...
... Hamiltonian . 4 . To choose the eigenfunctions of this Hamiltonian as linear combinations of atomic orbitals which are assumed to be orthonormal ( Wannier - type ) states . 5 . To neglect all matrix elements of the effective Hamiltonian ...
Page 10
... Hamiltonian ( 1 ) is easily n • diagonalized by the transformation Cns = ikna [ e Cks ' k = 2πv / ( Na ) , -N / 2 < v < N / 2 = L / N , where we have introduced the lattice constant a L being the chain length ( this is convenient since ...
... Hamiltonian ( 1 ) is easily n • diagonalized by the transformation Cns = ikna [ e Cks ' k = 2πv / ( Na ) , -N / 2 < v < N / 2 = L / N , where we have introduced the lattice constant a L being the chain length ( this is convenient since ...
Page 88
... Hamiltonian ( 1 ) takes the following form In - fo ( -1 ) / ( 2α ) , He = - + + [ It - ( -1 ) ( cs Cntls + cntls Cns ) . ns It is convenient to distinguish between " right - moving " electrons with k > 0 and " left - moving " electrons ...
... Hamiltonian ( 1 ) takes the following form In - fo ( -1 ) / ( 2α ) , He = - + + [ It - ( -1 ) ( cs Cntls + cntls Cns ) . ns It is convenient to distinguish between " right - moving " electrons with k > 0 and " left - moving " electrons ...
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