Collapse of resonance in quasi-one-dimensional quantum channels

Kim, C. S.; Satanin, A. M.; Joe, Yong S.; Cosby, R. M.

doi:10.1134/1.558969

Cited by 20 publications

(7 citation statements)

References 10 publications

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“…( 32) vanishes. The behavior of the transmission coefficient in this case resembles the collapse of the Fano resonances discussed in earlier studies 4,36 .…”

Section: Discussionsupporting

confidence: 80%

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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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“…( 32) vanishes. The behavior of the transmission coefficient in this case resembles the collapse of the Fano resonances discussed in earlier studies 4,36 .…”

Section: Discussionsupporting

confidence: 80%

“…Being a characteristic manifestation of wave phenomena in scattering experiments resonances have received considerable attention in recent electron transport investigations. A number of papers 35,36,37,38 is devoted to the study of Fano resonances in the transport through quasi-one-dimensional channels with impurities. It is shown in Refs.…”

Section: Introductionmentioning

confidence: 99%

Electron transport on a cylindrical surface with one-dimensional leads

Margulis

Pyataev

2005

Phys. Rev. B

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“…Equation (26) shows that the transmission coefficient does not vanish at E = E 0 m in presence of the impurity if sin m∆ϕ = 0. However, the zero of transmission at E = E 0 m is conserved if the position of impurity satisfies the condition sin m∆ϕ = 0 (Fig.…”

Section: Case Of One Impurity and Diametrically Opposite Contactsmentioning

confidence: 99%

“…They are caused by interference of bound states and continuum of propagating electron waves. Fano resonances in electron transport through various systems are widely studied in literature [26,27,28,29,30,31].…”

Section: Introductionmentioning

confidence: 99%

Electron transport in a two-terminal Aharonov–Bohm ring with impurities

Kokoreva

Margulis

Pyataev

2011

Physica E: Low-dimensional Systems and Nanostructures

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Electron transport in a two-terminal Aharonov-Bohm ring with a few shortrange scatterers is investigated. An analytical expression for the conductance as a function of the electron Fermi energy and magnetic flux is obtained using the zero-range potential theory. The dependence of the conductance on positions of scatterers is studied. We have found that the conductance exhibits asymmetric Fano resonances at certain energies. The dependence of the Fano resonances on magnetic field and positions of impurities is investigated. It is found that collapse of the Fano resonances occurs and discrete energy levels in the continuous spectrum appear at certain conditions. An explicit form for the wave function corresponding to the discrete level is obtained.

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“…One of the most important problems in the quantum waveguides theory is the investigation of the scattering of electrons on the impurities in the waveguides (see previous studies and references cited in these papers). This paper also devoted to the mentioned problem.…”

Section: Introductionmentioning

confidence: 99%

Transition matrices for quantum waveguides with impurities

Rabinovich

Urbano-Altamirano

2018

Math Methods in App Sciences

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We consider the electron propagation in a cylindrical quantum waveguide Π ¼ D× R where D is a bounded domain in R 2 described by the Dirichlet problem for the Schrödinger operatorVðxÞ is the transversal confinement potential, and Wðx; zÞ is the impurity potential. We construct the left and right transition matrices and give an numerical algorithm for their calculations based on the spectral parameter power series method.

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Collapse of resonance in quasi-one-dimensional quantum channels

Cited by 20 publications

References 10 publications

Electron transport on a cylindrical surface with one-dimensional leads

Electron transport on a cylindrical surface with one-dimensional leads

Electron transport in a two-terminal Aharonov–Bohm ring with impurities

Transition matrices for quantum waveguides with impurities

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