Magnetoconductivity of quantum wires with elastic and inelastic scattering
Research output: Contribution to journal › Journal article › Research › peer-review
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
APA
Vancouver
Author
Bibtex
}
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