Magnetoconductivity of quantum wires with elastic and inelastic scattering

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Standard

Magnetoconductivity of quantum wires with elastic and inelastic scattering. / Bruus, Henrik; Flensberg, Karsten; Smith.

In: Physical Review B, Vol. 48, No. 15, 15.10.1993, p. 11144-11155.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bruus, H, Flensberg, K & Smith 1993, 'Magnetoconductivity of quantum wires with elastic and inelastic scattering', Physical Review B, vol. 48, no. 15, pp. 11144-11155. https://doi.org/10.1103/PhysRevB.48.11144

APA

Bruus, H., Flensberg, K., & Smith (1993). Magnetoconductivity of quantum wires with elastic and inelastic scattering. Physical Review B, 48(15), 11144-11155. https://doi.org/10.1103/PhysRevB.48.11144

Vancouver

Bruus H, Flensberg K, Smith. Magnetoconductivity of quantum wires with elastic and inelastic scattering. Physical Review B. 1993 Oct 15;48(15):11144-11155. https://doi.org/10.1103/PhysRevB.48.11144

Author

Bruus, Henrik ; Flensberg, Karsten ; Smith. / Magnetoconductivity of quantum wires with elastic and inelastic scattering. In: Physical Review B. 1993 ; Vol. 48, No. 15. pp. 11144-11155.

Bibtex

@article{5fb052ce678248b39a2a6cfe462fae42,
title = "Magnetoconductivity of quantum wires with elastic and inelastic scattering",
abstract = "We use a Boltzmann equation to determine the magnetoconductivity of quantum wires. The presence of a confining potential in addtion to the magnetic field removes the degeneracy of the Landau levels and allows one to associate a group velocity with each single-particle state. The distribution function describing the occupation of these single-particle states satisfies a Boltzmann equation, which may be solved exactly in the case of impurity scattering. In the case where the electrons scatter against both phonons and impurities we solve numerically—and in certain limits analytically—the integral equation for the distribution function and determine the conductivity as a function of temperature and magnetic field. The magnetoconductivity exhibits a maximum at a temperature, which depends on the relative strength of the impurity and electron-phonon scattering and shows oscillations when the Fermi energy or the magnetic field is varied.",
author = "Henrik Bruus and Karsten Flensberg and Smith",
year = "1993",
month = oct,
day = "15",
doi = "10.1103/PhysRevB.48.11144",
language = "English",
volume = "48",
pages = "11144--11155",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "15",

}

RIS

TY - JOUR

T1 - Magnetoconductivity of quantum wires with elastic and inelastic scattering

AU - Bruus, Henrik

AU - Flensberg, Karsten

AU - Smith, null

PY - 1993/10/15

Y1 - 1993/10/15

N2 - We use a Boltzmann equation to determine the magnetoconductivity of quantum wires. The presence of a confining potential in addtion to the magnetic field removes the degeneracy of the Landau levels and allows one to associate a group velocity with each single-particle state. The distribution function describing the occupation of these single-particle states satisfies a Boltzmann equation, which may be solved exactly in the case of impurity scattering. In the case where the electrons scatter against both phonons and impurities we solve numerically—and in certain limits analytically—the integral equation for the distribution function and determine the conductivity as a function of temperature and magnetic field. The magnetoconductivity exhibits a maximum at a temperature, which depends on the relative strength of the impurity and electron-phonon scattering and shows oscillations when the Fermi energy or the magnetic field is varied.

AB - We use a Boltzmann equation to determine the magnetoconductivity of quantum wires. The presence of a confining potential in addtion to the magnetic field removes the degeneracy of the Landau levels and allows one to associate a group velocity with each single-particle state. The distribution function describing the occupation of these single-particle states satisfies a Boltzmann equation, which may be solved exactly in the case of impurity scattering. In the case where the electrons scatter against both phonons and impurities we solve numerically—and in certain limits analytically—the integral equation for the distribution function and determine the conductivity as a function of temperature and magnetic field. The magnetoconductivity exhibits a maximum at a temperature, which depends on the relative strength of the impurity and electron-phonon scattering and shows oscillations when the Fermi energy or the magnetic field is varied.

U2 - 10.1103/PhysRevB.48.11144

DO - 10.1103/PhysRevB.48.11144

M3 - Journal article

C2 - 10007422

VL - 48

SP - 11144

EP - 11155

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 15

ER -

ID: 129606433