000161575 001__ 161575
000161575 005__ 20181203035906.0
000161575 0247_ $$2doi$$a10.1103/PhysRevB.81.155434
000161575 022__ $$a0163-1829
000161575 02470 $$2ISI$$a000277210500133
000161575 037__ $$aARTICLE
000161575 245__ $$aSolution of the tunneling-percolation problem in the nanocomposite regime
000161575 260__ $$c2010
000161575 269__ $$a2010
000161575 336__ $$aJournal Articles
000161575 520__ $$aWe noted that the tunneling-percolation framework is quite well understood at the extreme cases of percolation-like and hopping-like behaviors but that the intermediate regime has not been previously discussed, in spite of its relevance to the intensively studied electrical properties of nanocomposites. Following that we study here the conductivity of dispersions of particle fillers inside an insulating matrix by taking into account explicitly the filler particle shapes and the inter-particle electron tunneling process. We show that the main features of the filler dependencies of the nanocomposite conductivity can be reproduced without introducing any a priori imposed cut-off in the inter-particle conductances, as usually done in the percolation-like interpretation of these systems. Furthermore, we demonstrate that our numerical results are fully reproduced by the critical path method, which is generalized here in order to include the particle filler shapes. By exploiting this method, we provide simple analytical formulas for the composite conductivity valid for many regimes of interest. The validity of our formulation is assessed by reinterpreting existing experimental results on nanotube, nanofiber, nanosheet and nanosphere composites and by extracting the characteristic tunneling decay length, which is found to be within the expected range of its values. These results are concluded then to be not only useful for the understanding of the intermediate regime but also for tailoring the electrical properties of nanocomposites.
000161575 6531_ $$aComposites
000161575 6531_ $$aPercolation
000161575 6531_ $$aEffet tunnel
000161575 6531_ $$aTunnelling
000161575 6531_ $$aCouches épaisses
000161575 6531_ $$aThick-film technology
000161575 6531_ $$aModélisation
000161575 6531_ $$aModelling
000161575 700__ $$aAmbrosetti, Gianluca
000161575 700__ $$0240278$$aGrimaldi, Claudio$$g121842
000161575 700__ $$aBalberg, Isaac
000161575 700__ $$0240386$$aMaeder, Thomas$$g102445
000161575 700__ $$aDanani, Andrea
000161575 700__ $$0240512$$aRyser, Peter$$g115532
000161575 773__ $$j81$$q155434$$tPhysical Review B Condensed Matter
000161575 8564_ $$s1974997$$uhttps://infoscience.epfl.ch/record/161575/files/2010%20Ambrosetti%20percolation%20-%20effet%20tunnel%20nanocomposites.pdf$$yPublisher's version$$zPublisher's version
000161575 909C0 $$0252100$$pLPM
000161575 909CO $$ooai:infoscience.tind.io:161575$$particle$$qGLOBAL_SET
000161575 917Z8 $$x102445
000161575 917Z8 $$x102445
000161575 937__ $$aEPFL-ARTICLE-161575
000161575 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000161575 980__ $$aARTICLE