Theoretical Aspects of Conducting Polymers: Electronic Structure and Defect States |
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Page 20
... Fermi points , the size of which is determined by minimalizing the total energy E = NK y2 + 2 [ | k | < KF - 4N to [ 47-8 ( 1-62 ) ] = π where = ( 2t ) is the ratio between bandgap E g = 24 and bandwidth W = 4to is given by Eq . ( 20 ) ...
... Fermi points , the size of which is determined by minimalizing the total energy E = NK y2 + 2 [ | k | < KF - 4N to [ 47-8 ( 1-62 ) ] = π where = ( 2t ) is the ratio between bandgap E g = 24 and bandwidth W = 4to is given by Eq . ( 20 ) ...
Page 27
... Fermi level . For weak coupling , i.e. λ << 1 , only states close to ± k are affected , namely within a region | ħvk | ≤ 4 。 where hvF = = 2ta . This introduces a characteristic length = hv / 4 F O = a W / E ≈ 7a . Quite g generally ...
... Fermi level . For weak coupling , i.e. λ << 1 , only states close to ± k are affected , namely within a region | ħvk | ≤ 4 。 where hvF = = 2ta . This introduces a characteristic length = hv / 4 F O = a W / E ≈ 7a . Quite g generally ...
Page 30
... Fermi sea we will have to use a 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 ...
... Fermi sea we will have to use a 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 ...
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