NAND gate response in a mesoscopic ring: an exact result

Maiti, Santanu K.

doi:10.1088/0031-8949/80/05/055704

Cited by 16 publications

(7 citation statements)

References 25 publications

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“…Subsequently, it is possible, by using the orbital angular momentum m and the magnetic field B 0 as control knobs of an experiment, to produce filiform currents circulating in a reduced portion of the annulus. Such currents may be used in informatics technology [20,29,31,34,35,[37][38][39][40][41][42]. Furthermore, an adiabatic increase of B 0 does not induce transition amongst the levels, but pushes the electron towards large ρ.…”

Section: Static Magnetic Fieldmentioning

confidence: 99%

Laser Assisted Dirac Electron in a Magnetized Annulus

Fiordilino

2021

Symmetry

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We study the behaviour of a charge bound on a graphene annulus under the assumption that the particle can be treated as a massless Dirac electron. The eigenstates and relative energy are found in closed analytical form. Subsequently, we consider a large annulus with radius ρ∈[5000,10,000]a0 in the presence of a static magnetic field orthogonal to its plane and again the eigenstates and eigenenergies of the Dirac electron are found in both analytical and numerical form. The possibility of designing filiform currents by controlling the orbital angular momentum and the magnetic field is shown. The currents can be of interest in optoelectronic devices that are controlled by electromagnetic radiation. Moreover, a small radial force acts upon the annulus with a stretching effect. A linearly polarized electromagnetic field propagating in the orthogonal direction is added; the time evolution of the operators show that the acceleration of the electron is proportional to the rate of change of the spin of the particle.

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Section: Static Magnetic Fieldmentioning

confidence: 99%

Laser Assisted Dirac Electron in a Magnetized Annulus

Fiordilino

2021

Symmetry

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“…(1) (in the logical sense) appears if one or both inputs to the gate are low (0), while if both inputs to the gate are high (1), a low output current (0) results. This characteristic is the so-called NAND gate response and we will justify it by describing conductance-energy and current-voltage spectra [91].…”

Section: Logical Operationmentioning

confidence: 99%

Mesoscopic Physics and Nanoelectronics

Maiti¹

2011

Preprint

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Electronic transport properties through some model quantum systems are re-visited. A simple tight-binding framework is given to describe the systems where all numerical calculations are made using the Green's function formalism. First, we demonstrate electronic transport in four different polycyclic hydrocarbon molecules, namely, benzene, napthalene, anthracene and tetracene. It is observed that electron conduction through these molecular wires is highly sensitive to molecule-toelectrode coupling strength and quantum interference of electronic waves passing through different branches of the molecular ring. Our investigations predict that to design a molecular electronic device, in addition to the molecule itself, both the molecular coupling and molecule-to-electrode interface geometry are highly important. Next, we make an in-depth study to design classical logic gates with the help of simple mesoscopic rings, based on the concept of Aharonov-Bohm effect. A single mesoscopic ring or two such rings are used to establish the logical operations where the key controlling parameter is the magnetic flux threaded by the ring. The analysis might be helpful in fabricating meso-scale or nano-scale logic gates. Finally, we address multi-terminal quantum transport through a single benzene molecule using Landauer-Büttiker formalism. Quite interestingly we see that a three-terminal benzene molecule can be operated as an electronic transistor and this phenomenon is justified through current-voltage characteristics. All these essential features of electron transport may provide a basic theoretical framework to examine electron conduction through any multi-terminal quantum system.

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“…This oscillation was utilized to design logic gates with quantum rings. 21 A mesoscopic ring treated with a magnetic ux is used to make NAND gates; 22 in the experiment the ring is attached symmetrically to two metallic electrodes and two gate voltages are applied in one arm of the ring, these are treated as the two inputs of the NAND gate. Optical signals are used in ref.…”

Section: Introductionmentioning

confidence: 99%