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On Variable Range Hopping near the Fermi Energy. Two‐Dimensional Systems
Author(s) -
Maschke K.,
Overhof H.,
Thomas P.
Publication year - 1974
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.2220620111
Subject(s) - extrapolation , variable range hopping , percolation (cognitive psychology) , statistical physics , range (aeronautics) , variable (mathematics) , convergence (economics) , constant (computer programming) , connection (principal bundle) , percolation threshold , density of states , condensed matter physics , conductivity , mathematics , physics , mathematical analysis , electrical resistivity and conductivity , materials science , computer science , quantum mechanics , geometry , composite material , neuroscience , economics , biology , programming language , economic growth
Results of a computer study on variable range hopping in two‐dimensional systems are presented. A 2D system was chosen to allow for a treatment of models of considerable size with modest computational effort. The convergence properties of the results with respect to the model size have been carefully examined. It is found that an extrapolation to quasi‐infinite samples is possible. The results are discussed in connection with percolation results. Conditions for a strict T −1/3 ( T −1/4 ) law of the conductivity in 2D (3D) systems are derived. The influence of a non‐constant density of states is discussed.