Theoretical Aspects of Conducting Polymers: Electronic Structure and Defect States |
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Page 13
... dynamical matrix has only positive eigenvalues . We will see that the long - range nature of the bond - bond polarizability leads to a diverging negative contribution to the dynamical matrix in the case of equal bond lengths and for an ...
... dynamical matrix has only positive eigenvalues . We will see that the long - range nature of the bond - bond polarizability leads to a diverging negative contribution to the dynamical matrix in the case of equal bond lengths and for an ...
Page 19
... dynamical matrix which is responsible for the instability . The Fourier transform of the bond- bond polarizability , Eq . ( 17 ) , can be calculated explicitly π ( q ) = N 212 nk nk + q [ 1 + cos ( 2k + q ) a ] O O 2 = Tt [ sin ( ga / 2 ) ...
... dynamical matrix which is responsible for the instability . The Fourier transform of the bond- bond polarizability , Eq . ( 17 ) , can be calculated explicitly π ( q ) = N 212 nk nk + q [ 1 + cos ( 2k + q ) a ] O O 2 = Tt [ sin ( ga / 2 ) ...
Page 36
... dynamical matrix introduced previously ( Eq . ( 13 ) ) . The electronic contribution which is proportional to the bond - bond polarizability ( Eq . ( 14 ) ) provides the screening of the elastic forces . The perturbation expansion ...
... dynamical matrix introduced previously ( Eq . ( 13 ) ) . The electronic contribution which is proportional to the bond - bond polarizability ( Eq . ( 14 ) ) provides the screening of the elastic forces . The perturbation expansion ...
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