Theoretical Aspects of Conducting Polymers: Electronic Structure and Defect States |
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Page 68
... coupling limit ( y >> t Hubbard Hamiltonian can be approximated by a spin Heisenberg model to the H = - Σ J ( In ) 3 · 3n + l $ n + 1 n with antiferromagnetic exchange coupling J = -2t2 / 0 ( Emery 1976 ) . Using Eq . ( 15 ) we find the ...
... coupling limit ( y >> t Hubbard Hamiltonian can be approximated by a spin Heisenberg model to the H = - Σ J ( In ) 3 · 3n + l $ n + 1 n with antiferromagnetic exchange coupling J = -2t2 / 0 ( Emery 1976 ) . Using Eq . ( 15 ) we find the ...
Page 69
... coupling limit ) all sites are singly occupied in the ground state . It is then quite natural to choose U as the energy required to move one electron to a neighbouring site while keeping all the others fixed ( Mazumdar and Bloch 1983 ) ...
... coupling limit ) all sites are singly occupied in the ground state . It is then quite natural to choose U as the energy required to move one electron to a neighbouring site while keeping all the others fixed ( Mazumdar and Bloch 1983 ) ...
Page 71
... restrict ourselves to the weak - coupling limit , U , < t to vs to , and therefore use the transformation to continuum fields , Eq . ( 31 ) . Keeping only the relevant terms ( those involving both kp and -kp ) we find ( 81 ) Hint = + ...
... restrict ourselves to the weak - coupling limit , U , < t to vs to , and therefore use the transformation to continuum fields , Eq . ( 31 ) . Keeping only the relevant terms ( those involving both kp and -kp ) we find ( 81 ) Hint = + ...
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