2013
DOI: 10.1063/1.4827382
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Symmetry-dependent transport behavior of graphene double dots

Abstract: By means of an envelope function analysis, we perform a numerical investigation of the conductance behavior of a graphene structure consisting of two regions (dots) connected to the entrance and exit leads through constrictions and separated by a potential barrier. We show that the conductance of the double dot depends on the symmetry of the structure and that this effect survives also in the presence of a low level of disorder, in analogy of what we had previously found for a double dot obtained in a semicond… Show more

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Cited by 17 publications
(13 citation statements)
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“…The effect on transport of the boron impurities is strictly related to the details of the (short-range) atomistic potential around the boron dopants. Therefore, an envelope-function approach such as that of References [ 33 , 34 , 35 , 36 ] would not be accurate enough, and more computationally demanding atomistic models are needed. On the other hand, a complete ab-initio simulation of the considered device which includes thousands of atoms would not be numerically feasible.…”
Section: Methodsmentioning
confidence: 99%
“…The effect on transport of the boron impurities is strictly related to the details of the (short-range) atomistic potential around the boron dopants. Therefore, an envelope-function approach such as that of References [ 33 , 34 , 35 , 36 ] would not be accurate enough, and more computationally demanding atomistic models are needed. On the other hand, a complete ab-initio simulation of the considered device which includes thousands of atoms would not be numerically feasible.…”
Section: Methodsmentioning
confidence: 99%
“…Since (in the hypotheses of quasi-equilibrium and low temperature) (21) (with α = E − U), if small variations are considered the quantum capacitance can be expressed as…”
Section: Fig 2 Equivalent Circuit That Relates the Variations Of Thementioning
confidence: 99%
“…A numerical study of the conductance and noise properties of graphene‐based devices can be performed with different levels of approximation. For small devices, containing a limited number of atoms, an ab initio or tight‐binding simulation [18] of the whole device is possible, whereas for larger graphene samples an envelope‐function approach, based on the solution of the Dirac equation [20, 21], is generally preferred, in order to reduce the computational times. A very efficient solution of the Dirac equation in graphene ribbons can be performed, for example, using a Fourier‐based approach [14, 21] in the reciprocal space or, equivalently, a sinc‐based method [22] in the direct space.…”
Section: Introductionmentioning
confidence: 99%
“…Its dispersion relations around the degeneration points between conduction and valence bands (the so-called Dirac points, i.e., the charge neutrality points) are linear and thus in graphene charge carriers present a zero effective mass. Since its isolation from graphite, it has been the focus of a large research effort (which has more recently extended to a wider family of two-dimensional materials [32][33][34]), because it possesses very attractive electrical, thermal, optical, and mechanical properties [35][36][37][38][39][40][41][42][43][44][45][46][47]. Moreover, graphene exhibits very uncommon physical phenomena [48][49][50], typical of relativistic mechanics, because its effective mass transport equation coincides with the Dirac equation [18,51,52] (the wave equation which describes relativistic spin-1/2 particles).…”
Section: Introductionmentioning
confidence: 99%