Premium
Percolation Approach to Correlated Hopping in a Random Energy Landscape
Author(s) -
Cordes H.,
Baranovskii S.D.,
Greif J.
Publication year - 2002
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 - 10.1002/1521-3951(200203)230:1<243::aid-pssb243>3.0.co;2-3
Subject(s) - percolation threshold , percolation (cognitive psychology) , statistical physics , energy landscape , uncorrelated , percolation critical exponents , condensed matter physics , percolation theory , physics , mathematics , conductivity , statistics , quantum mechanics , electrical resistivity and conductivity , neuroscience , biology , thermodynamics
Hopping transport in a random energy landscape with strong disorder is best described using percolation approach. While properties of the ‘critical’ network are to some degree universal, the particular value of the percolation threshold p c is strongly dependent on the physical system under consideration. Hopping rates between neighbouring sites depend on site energies causing successive hops to be correlated. It is shown by computer simulations that these correlations lead to a strong decrease in p c for hopping in the random energy landscape compared to the value of p c in the uncorrelated standard bond percolation problem. Variations in the percolation threshold with position of the Fermi level μ are calculated for different distributions of the random potential. The dependence of p c on μ has been usually neglected in previous considerations. We show that this dependence is essential in many cases and hence it should be taken into account.