Nature of the electronic states in a chain of potential wells in presence of an electric field

Zekri, N.; Schreiber, Michael; Ouasti, R.; Bouamrane, R.; Brezini, A.

doi:10.1007/bf02769957

Cited by 10 publications

(12 citation statements)

References 20 publications

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“…This is analogous to a conventional disordered lattice, which causes electronic localization. Such kind of localization phenomenon is known as the Wannier-Stark (WS) localization [59][60][61] .…”

Section: A Pristine Zgnrmentioning

confidence: 99%

Enhanced current rectification in graphene nanoribbons: Effects of geometries and orientations of nanopores

Majhi,

Ganguly,

Maiti

2021

Preprint

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We discuss the possibility of getting rectification operation in graphene nanoribbon (GNR). For a system to be a rectifier, it must be physically asymmetric and we induce the asymmetry in GNR by introducing nanopores. The rectification properties are discussed for differently structured nanopores. We find that shape and orientation of the nanopores are critical and sensitive to the degree of current rectification. As the choice of Fermi energy is crucial for obtaining significant current rectification, explicit dependence of Fermi energy on the degree of current rectification is also studied for a particular shape of the nanopore. Finally, the role of nanopore size and different spatial distributions of the electrostatic potential profile across the GNR are discussed. Given the simplicity of the proposed method and promising results, the present proposition may lead to a new route of getting current rectification in different kinds of materials where nanopores can be formed selectively.

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Section: A Pristine Zgnrmentioning

confidence: 99%

Enhanced current rectification in graphene nanoribbons: Effects of geometries and orientations of nanopores

Majhi,

Ganguly,

Maiti

2021

Preprint

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“…We can observe that ϪlnT N has a nonlinear behavior in the regions just beyond the beginning of the gap; correspondingly, the decrease law for the transmittivity is of the type Tϳexp(Ϫ␣N ␤ ) with ␤Ͼ1. The nonlinearity in the jumps of ϪlnT N has been observed in disordered systems, 27,28 and defined as a form of superlocalization, but Fig. 1 shows that it is present also in periodic systems and that it is a very general effect of the electric field.…”

Section: The Periodic Kronig-penney Model In An Electric Fieldmentioning

confidence: 99%

“…This fact has been shown analytically 5,8 and numerically by studying the transmittivity of finite samples 6,9,[11][12][13] and going beyond the ladder approximation considering Airy functions instead of plane waves between adjacent barriers. 9,12,13 Recently a difference in the transmission of a disordered electrified chain has been observed 27,28 in the case of random barriers of fixed sign, with respect to the case of barriers with arbitrary sign. It is therefore convenient to start considering a pseudorandom law for the barrier heights in the form…”

Section: The Pseudorandom Kronig-penney Crystal In An Electric Fieldmentioning

confidence: 99%

Electric-field effect on the transmittivity of aperiodic Kronig-Penney crystals

Farchioni¹,

Grosso²

1997

Phys. Rev. B

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We describe the effect of a static and uniform electric field on the electronic transport properties of one-dimensional periodic and deterministic aperiodic systems described by the Kronig-Penney model. We study the crystal transmittivity as a function of the length of the sample and of the field strength. In the periodic case we interpret the results exploiting the tilted band scheme and point out regions with a more than exponential decreasing rate of transmittivity. In the case of an incommensurate slowly varying potential we interpret the fine structure of the transmittivity by means of a continuous approximation. In the pseudorandom case we confirm the delocalization effect of the field and we compare the results with the purely random case

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“…This simple model in its generalized form proved to be useful also for disordered systems [7,8], especially when the external field [9] and various kinds of disorder need to be included [10]. Another application of the model for disordered systems is the problem of dimer impurities [11].…”

Section: Introductionmentioning

confidence: 98%