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Coulomb blockade and quantum tunnelling in the low-conductivity phase of granular metals | | V. Tripathi
; M. Turlakov
; Y. L. Loh
; | | Date: |
22 Jul 2003 | | Journal: | J. Phys.: Condens. Matter 16, 4867 (2004) | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.mes-hall cond-mat.str-el | | Abstract: | We study the effects of Coulomb interaction and inter-grain quantum tunnelling in an array of metallic grains using the phase-functional approach for temperatures $T$ well below the charging energy $E_{c}$ of individual grains yet large compared to the level spacing in the grains. When the inter-grain tunnelling conductance $ggg1$, the conductivity $sigma$ in $d$ dimensions decreases logarithmically with temperature ($sigma/sigma_{0}sim1-frac{1}{2pi gd}ln(gE_{c}/T)$), while for $g o0$, the conductivity shows simple activated behaviour ($sigma sim exp(-E_c/T)$). We show, for bare tunnelling conductance $g gtrsim 1$, that the parameter $gamma equiv g(1-2/(gpi)ln(gE_{c}/T))$ determines the competition between charging and tunnelling effects. At low enough temperatures in the regime $1gtrsim gamma gg 1/sqrt{eta E_{c}}$, a charge is shared among a finite number $N=sqrt{(E_{c}/T)/ln(pi/2gamma z)}$ of grains, and we find a soft activation behaviour of the conductivity, $sigmasim z^{-1}exp(-2sqrt{(E_{c}/T)ln(pi/2gamma z)})$, where $z$ is the effective coordination number of a grain. | | Source: | arXiv, cond-mat/0307534 | | Services: | Forum | Review | PDF | Favorites | |
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