TY - JOUR
T1 - Strong localization near the percolation threshold
AU - Deutscher, G.
N1 - Funding Information:
We wish to acknowledge warmly illuminating conversations with Y. Levy, P. Lindenfeld, W. McLean and B. Souillard. This work was partially supported by the U.S.-Israel Binational Science Foundation and by the Oren Family Chair for Experimental Solid State Physics.
PY - 1987/12
Y1 - 1987/12
N2 - We discuss electron localization in granular systems near the percolation threshold in the light of the recent theory of Levy and Souillard predicting that electron wavefunctions for localized states on a fractal decay faster than exponentially. This anomalous decay leads to a modified Mott hopping conductivity, more strongly activated than in the case of a homogeneous medium. This might explain known and poorly understood conductivity data obtained on granular aluminium near the metal-insulator transition, which had previously been attributed to electron-electron interaction effects. It also provides a reasonable explanation of the giant negative magnetoresistance observed in these specimens.
AB - We discuss electron localization in granular systems near the percolation threshold in the light of the recent theory of Levy and Souillard predicting that electron wavefunctions for localized states on a fractal decay faster than exponentially. This anomalous decay leads to a modified Mott hopping conductivity, more strongly activated than in the case of a homogeneous medium. This might explain known and poorly understood conductivity data obtained on granular aluminium near the metal-insulator transition, which had previously been attributed to electron-electron interaction effects. It also provides a reasonable explanation of the giant negative magnetoresistance observed in these specimens.
UR - http://www.scopus.com/inward/record.url?scp=0023594043&partnerID=8YFLogxK
U2 - 10.1080/13642818708215306
DO - 10.1080/13642818708215306
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0023594043
SN - 1364-2812
VL - 56
SP - 725
EP - 728
JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
IS - 6
ER -