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Localization lengths in disordered Peierls systems
Author(s) -
Wolf M.,
Fesser K.
Publication year - 1992
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19925040407
Subject(s) - formalism (music) , polyacetylene , limiting , ground state , condensed matter physics , physics , doping , connection (principal bundle) , impurity , statistical physics , quantum mechanics , complex system , mathematical physics , mathematics , geometry , computer science , mechanical engineering , art , musical , engineering , visual arts , artificial intelligence
We have studied the influence of bond‐ and site‐type impurities on the ground state properties of one‐dimensional Peierls systems. Using a functional integral formalism with both commuting and anticommuting variables we have calculated the averaged Green's function which determines the electronic density of states and localization length (Thouless formula). Some limiting cases can be solved analytically. To apply our model to doped polymers we derive the connection between doping concentration and disorder strengths D j . For illustration we present the results with parameters appropriate for polyacetylene.