Quantization of the conductance of a three-dimensional quantum wire in the presence of a magnetic field

Geyler, V. A.; Margulis, V. A.

doi:10.1103/physrevb.61.1716

Cited by 14 publications

(10 citation statements)

References 23 publications

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“…It's also worth mentioning that under the influence of a magnetic field an otherwise symmetric cross section will become effectively asymmetric. 23,42,43 Upward or downward shifting of the ͑transverse͒ energy levels of a parabolically confined ballistic quantum wire under the influence of a longitudinal magnetic field has been observed experimentally. 43 The degenerate levels observed in Ref.…”

Section: Effects Of the Cross-sectional Shape On The Conductancementioning

confidence: 99%

Conductance of a quantum wire with a Gaussian impurity potential and variable cross-sectional shape

Vargiamidis

Polatoglou

2005

Phys. Rev. B

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We calculate the conductance through a Gaussian impurity potential in a quantum wire using the Lippmann-Schwinger equation. The impurity has a decay length d along the propagation direction while it is localized along the transverse direction. In the case of a repulsive Gaussian impurity it is shown that the conductance quantization is strongly affected by the decay length. In particular, increasing d causes gradual suppression of backscattering and smaller contribution of evanescent modes, leading to progressively sharper conductance steps. The dependence of the conductance on the impurity position is also examined. In the case of an attractive Gaussian impurity it is shown that multiple quasibound states are formed due to the finite size of the impurity. By varying the size of the impurity these quasibound states may evolve into highly localized states with greatly enhanced lifetime. It is also shown ͑for a model impurity potential very similar to the Gaussian͒ that the transmission exhibits asymmetric Fano line shape. Under certain circumstances the Fano line shape may appear "inverted" or evolve into a Breit-Wigner dip. We consider also the effects of the cross-sectional shape of the wire on the quantum transmission. It is shown that varying the cross-sectional shape causes shifting of the positions of the conductance steps ͑which is due to the rearrangement of the transverse energy levels͒ and influences the character of conductance quantization.

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Section: Effects Of the Cross-sectional Shape On The Conductancementioning

confidence: 99%

Conductance of a quantum wire with a Gaussian impurity potential and variable cross-sectional shape

Vargiamidis

Polatoglou

2005

Phys. Rev. B

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“…The generalization of the FD model to the elliptical parabolic potential case can also be solved exactly, [17−22] various physical properties, such as the quantization of the conductance [19] and the electronic properties, can be studied. [21] This model also can be used to study rotating droplets of electrons trapped in quasi-twodimensional quantum dots and rotating Bose-Einstein condensates. [23,24] In this paper, we calculate the specific heat for a quasi-two-dimensional Boltzmann gas in an elliptical parabolic quantum dot, then study the effects due to the anisotropy and the magnetic field interaction.…”

Section: Introductionmentioning

confidence: 99%

Effects of anisotropy and magnetic fields on the specific heat of a quasi-two-dimensional Boltzmann gas in an elliptical parabolic quantum dot

Zhi-Yuan¹,

Li²,

Pan³

2012

Chinese Phys. B

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“…The effect of conductance quantization has first observed in the narrow constriction that connect two large areas of two-dimensional electron gas (2DEG) in high-mobility GaAs-Al x Ga 1−x As heterostructures 1,2 . The above discovery has stimulated a whole series of theoretical works where the various models of confinment potential have been used: an infinitely long waveguide with constant cross section 3,4 , saddle-point potential 5,6 and other one 7,8,9 . All these papers based on Landauer-Büttiker transport approach 10,11 .…”

Section: Introductionmentioning

confidence: 99%

“…In particular, by varying B one can change the parameters of the conductance quantization steps (length of the conductance plateau) 13 . The parameters of the conductance quantization depend sufficiently not only on magnitude of magnetic field but also on its direction 3 .…”

Section: Introductionmentioning

confidence: 99%

Effect of short-range impurities on low-temperature conductance and thermopower of quantum wires

Kokurin,

Margulis

2008

Preprint

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The electron transport through the parabolic quantum wire placed in longitudinal magnetic field in the presence of the system of short-range impurities inside the wire is investigated. Using approach based on the zero-range potential theory we obtained an exact formula for the transmission coefficient of the electron through the wire that allows to calculate such the transport characteristics as the conductance and differential thermopower. The dependencies of conductance and thermopower on the chemical potential and magnetic field are investigated. The effect of elastic scattering due to short-range impurities on low-temperature conductance and thermopower is studied. It was shown that the character of the electron transport essentially depends on the position of the every scattering center. The presence even isolated impurity leads to destruction of conductance quantization. In some cases it is possible that thermopower can change the sign in dependence on chemical potential and magnetic field.

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Quantization of the conductance of a three-dimensional quantum wire in the presence of a magnetic field

Abstract: We study the ballistic transport in a three-dimensional quantum wire subjected to a uniform magnetic field of an arbitrary direction. The case of an elliptic cross section of the wire is considered. The temperature smearing of conductance quantization of the wire is analyzed.

Cited by 14 publications

References 23 publications

Conductance of a quantum wire with a Gaussian impurity potential and variable cross-sectional shape

Conductance of a quantum wire with a Gaussian impurity potential and variable cross-sectional shape

Effects of anisotropy and magnetic fields on the specific heat of a quasi-two-dimensional Boltzmann gas in an elliptical parabolic quantum dot

Effect of short-range impurities on low-temperature conductance and thermopower of quantum wires

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