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Solitons and Polarons in Polyyne. Discrete Lattice and Broken Electron–Hole Symmetry Effects
Author(s) -
Malek J.,
Drechsler S. L.,
Heiner E.,
Kahnt R.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221470133
Subject(s) - polaron , hamiltonian (control theory) , physics , eigenvalues and eigenvectors , lattice (music) , soliton , electron , symmetry (geometry) , condensed matter physics , quantum mechanics , symmetry breaking , discrete symmetry , quantum electrodynamics , nonlinear system , mathematics , geometry , mathematical optimization , acoustics , homogeneous space
A SSH‐like Hamiltonian proposed by Rice et al. for polyyne extended by second neighbour hoppings is investigated. The discrete system of electron eigenvalue equations together with selfconsistency conditions for relative atomic displacements is numerically solved for a rich variety of soliton and polaron states. In particular, it is found that various degeneracies inhererent for the model mentioned above are lifted due to terms which break the charge conjugation symmetry. Discrete lattice effects enhance the symmetry breaking. For polarexcitons and neutral solitons (antisolitons) an internal charge structure is found.