1997
DOI: 10.1103/physrevb.55.10638
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Coulomb blockade threshold in inhomogeneous one-dimensional arrays of tunnel junctions

Abstract: A general expression is given for the change in free energy when a charge tunnels through a junction in a one-dimensional array of N metallic islands with arbitrary capacitances and arbitrary background charges. This is used to obtain expressions for the ͑average͒ threshold voltage of the Coulomb blockade for a few characteristic geometries. We find that including random background charges has a large effect on the N dependence of the threshold voltage: In an array with identical junction capacitances C and ga… Show more

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Cited by 40 publications
(52 citation statements)
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“…The threshold voltage is given by V T = min k V k T . As pointed out by Melsen et al, the Coulomb blockade region increases as the number of junctions, N , increases [16] as shown in Figs. 2(a) and 2(b).…”
Section: (D)mentioning
confidence: 60%
See 1 more Smart Citation
“…The threshold voltage is given by V T = min k V k T . As pointed out by Melsen et al, the Coulomb blockade region increases as the number of junctions, N , increases [16] as shown in Figs. 2(a) and 2(b).…”
Section: (D)mentioning
confidence: 60%
“…2(a) and 2(b), we present the numerical results for tunnel junctions with N = 2 ∼ 5 at T = 0, N being the number of junctions. Due to the charging energy in each junction, single electron tunneling is blocked as long as the bias voltage V is lower than the threshold value V T [16]. From Eq.…”
Section: (D)mentioning
confidence: 99%
“…However, as long as only the blockade voltage V b is considered, it is independent of the choice of the resistances. 5 This is because the determination of V b poses an electrostatic problem without flowing current. A constant tunnel resistance of 500 k⍀ is used for each tunnel junction and the independence of the outcome of this value was checked numerically.…”
Section: Employed Methodsmentioning
confidence: 99%
“…In one-dimensional arrays, the influence of offset charge on V b has been studied both experimentally 3,4 and theoretically. 5 The current dependence Iϰ(VϪV b ) resulting from the effect of background charges was suggested 6 using ϭ1 in case of one-dimensional arrays, and ϭ5/3 in case of two-dimensional networks. That work has spawned a number of experiments [7][8][9][10][11] with in part different values of .…”
Section: Introductionmentioning
confidence: 99%
“…Electronic transport in nonmagnetic SETs was already extensively studied in the past two decades [14,15,79,80,81,82,83,84,85,86,87,88,89]. Recently, the attention was also drawn to electron tunnelling in magnetic systems [25,26,73,74,90,91,92], which was stimulated by recent progress in nanotechnology.…”
Section: Ferromagnetic Single-electron Transistors Based On Metallic mentioning
confidence: 99%