Resonant tunneling through a two-dimensional nanostructure with connecting leads

Geyler, V. A.; Margulis, V. A.; Pyataev, M. A.

doi:10.1134/1.1625066

Cited by 13 publications

(21 citation statements)

References 16 publications

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“…If sin ((m + Φ/Φ 0 )(ϕ 2 − ϕ 1 )) = 0 then the value f m vanishes and the zero at the point E m disappears. This phenomenon is similar to the collapse of the Fano resonance in the transmission through a quantum sphere 3,4 . The disappearance of the zeros is associated with the symmetry of the contact location.…”

Section: Resultssupporting

confidence: 59%

“…We mention that the effect of the scattering lengths λ A j , λ B j , and λ C j on the electron transport has been discussed in Ref. 4. In the present paper we concentrate our attention on phenomena which are independent of contact parameters.…”

Section: Hamiltonian and Transmission Coefficientmentioning

confidence: 93%

“…N ) represent scattered waves. The wavefunction ψ C may be expressed 4 in terms of the Green function G(x, x ′ ; E) for the Hamiltonian…”

Section: Hamiltonian and Transmission Coefficientmentioning

confidence: 99%

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Electron transport on a cylindrical surface with one-dimensional leads

Margulis

Pyataev

2005

Phys. Rev. B

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A nanodevice consisting of a conductive cylinder in an axial magnetic field with one-dimensional wires attached to its lateral surface is considered. An explicit form for transmission and reflection coefficients of the system as a function of electron energy is found from the first principles. The form and the position of transmission resonances and zeros are studied. It is found that, in the case of one wire being attached to the cylinder, reflection peaks occur at energies coinciding with the discrete part of the electronic spectrum of the cylinder. These peaks are split in a magnetic field. In the case of two wires the asymmetric Fano-type resonances are detected in the transmission between the wires for integer and half-integer values of the magnetic flux. The collapse of the resonances appears for certain position of contacts. Magnetic field splits transmission peaks and leads to spin polarization of transmitted electrons.Comment: 8 pages, 10 figures (1 page and 1 figure added

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Section: Resultssupporting

confidence: 59%

Section: Hamiltonian and Transmission Coefficientmentioning

confidence: 93%

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Electron transport on a cylindrical surface with one-dimensional leads

Margulis

Pyataev

2005

Phys. Rev. B

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“…In this case, the linear approximation for the denominator and the numerator of t 21 is inapplicable, and quadratic in E − E l terms in (11) must be taken into account. The equation similar to (17) may be obtained for t 21 with…”

Section: Fano Resonancesmentioning

confidence: 99%

“…Recently, the line shape of resonances has been discussed in experiments on electron transport through mesoscopic systems [2,3,20]. It is shown in [21] that the same resonances occur in the electron transport through a quantum nanosphere with two wires attached to it.…”

Section: Introductionmentioning

confidence: 99%

Fano resonances in a three-terminal nanodevice

Margulis¹,

Pyataev²

2004

J. Phys.: Condens. Matter

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Abstract. The electron transport through a quantum sphere with three onedimensional wires attached to it is investigated. An explicit form for the transmission coefficient as a function of the electron energy is found from the first principles. The asymmetric Fano resonances are detected in transmission of the system. The collapse of the resonances is shown to appear under certain conditions. A two-terminal nanodevice with an additional gate lead is studied using the developed approach. Additional resonances and minima of transmission are indicated in the device.

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