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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 76 (1994), S. 4201-4204 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The longitudinal (ρxx) and Hall (ρxy) resistivities are calculated for a two-dimensional square array of scatterers, which are simulated by an array of positive delta functions. We find that when the potential strength is strong ρxy can be negative and quenched and ρxx shows commensurate oscillations simultaneously. Similar features have been observed experimentally for antidots in both the quasiclassical and the quantum regimes. The quenching of ρxy is explained by the collimated states formed by electrons scattering resonantly off the lattice sites in a magnetic field when the magnetic translational period and reciprocal-lattice vector are commensurate. Impurities do not qualitatively change ρxy but they can quantitatively change ρxx. Numerical results show how the lattice, impurity scattering, and the electron density affect the quenching of the Hall effect and the commensurate oscillations
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 75 (1994), S. 7942-7948 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A theory, which includes many-body effects, is presented for the interband absorption in a pseudomorphic Ga1−yAlyAs/InxGa1−xAs/GaAs modulation-doped quantum well. The electron-electron interaction in a degenerate Fermi sea is calculated in the self-consistent Hartree approximation. In addition, the binding energy within an electron-hole pair is included in the ladder approximation as a vertex correction to the response function. Due to the subband structure arising from the quantization by the quantum well, there are different types of excitons associated with the electrons and holes in different subbands. In the theory, the coupling between excitons is calculated in the random-phase approximation. The numerical results for the temperature dependence of the absorption peaks at the Fermi edge (low temperature) and the band edge (room temperature) compare well with available experimental data which was obtained in electric-field modulated photoreflectance experiments. At low temperatures, the theory shows that there are important modifications to the single-particle model. The Fermi energy is extracted by fitting the calculated results to the thermally broadened line shape of the absorption spectrum. As a consequence, the electron density of the quantum wells can be accurately determined by means of this contactless, nondestructive, rapid and simple characterization method. Moreover, information on the alloy composition, built-in electric field, and the interface stress can also be obtained.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 73 (1993), S. 8397-8401 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The dielectric response of an electron gas in a cylindrical quantum well is calculated when the electron motion in the angular direction is restricted. The dielectric response is shown to depend in a nontrivial way on the angle of restriction β thereby making it possible to tune the optical response to external electromagnetic radiation. The resonant absorption wavelength can be adjusted by changing β over a wide range which might be used in optoelectronic detectors.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 73 (1993), S. 5479-5481 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The time evolution of the spin distribution for the XY model in mean-field theory is described by the Fokker–Planck transport equation. This equation is Fourier transformed to generate an infinite-dimensional nonlinear dynamical system. The otherwise well-known behavior of the XY model is then explained using a fully dynamical-systems approach. The evolution of the phase-space trajectories of this dynamical system from initial nonequilibrium states is obtained. Regardless of the initial spin distribution, its attractors (all are point attractors) determine the equilibrium magnetic state of the model. The phase transition at a critical temperature is accompanied by a supercritical bifurcation. Numerical results for the time dependence of the phase-space trajectories and the order parameter are presented.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 75 (1994), S. 902-907 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Hartree–Fock treatment of cyclotron resonance (CR) [see A. H. MacDonald, J. Phys. C 18, 1003 (1985)] is generalized by including the correlation contribution to the screening by the electrons. It is found that the CR effective mass m* is an oscillatory function of the magnetic field, which is due to the filling-factor-dependent dynamic screening of the electron-impurity scattering. It is demonstrated that as the Landau levels are depleted with increasing magnetic field, m* has a maximum at half-filling. Similar behavior has also been found in CR absorption of the two-dimensional electron gas in a high-mobility heterostructure.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 209-227 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A novel approach is employed for studying a paramagnetic/ferromagnetic phase transition. Here, the Fokker–Planck transport equation is used to describe the time dependence of the spin distribution function (order parameter) for the XY model in mean-field theory. The evolution of the phase-space trajectories from initial nonequilibrium states is obtained. This is then applied in explaining the otherwise well-known behavior of the XY model using a fully dynamical-systems approach. The attractors of this infinite-dimensional dynamical system are determined and their stability for any value of a system parameter δ, that plays the role of the absolute temperature, is obtained. A supercritical bifurcation occurs for δ=1/2, and this bifurcation corresponds to the paramagnetic/ferromagnetic phase transition. For an arbitrary initial spin density, a unique equilibrium magnetization is shown as being due to a continuum of fixed points existing in the temperature range 0〈δ〈1/2. These fixed points attract all the phase-space trajectories, except those lying on the stable manifold of a trivial fixed point. The trivial fixed point at the origin is stable if δ(approximately-greater-than)1/2, otherwise it is a saddle point. These two types of fixed points determine the limit behavior of the dynamical system and therefore also the equilibrium state of the XY model in the approximation used here.
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 86 (1999), S. 1467-1471 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The second-order nonlinear optical susceptibility χ(2) for second-harmonic generation is calculated for the 11H transition of a graded double quantum well (DQW) structure of undoped GaAs/AlxGa1−xAs. These results are compared with the single quantum well (QW). Our results show that the values of χ(2) have optimal magnitudes dependent on the width, depth and separation between the QWs in a DQW structure. When the electric field increases, the dipole moment increases due to the increasing separation between the electron and hole wave functions. On the other hand, the oscillator strength of the 11H transition is reduced as a result of the decrease in the overlap of the electron and hole envelope functions. These two competing factors give rise to optimal conditions for the enhancement of the second-order nonlinear susceptibility χ(2). It is demonstrated that χ(2) for the DQW structure is more enhanced than for the biased single QW. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 50 (1983), S. 89-103 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effects of impurity scattering on the transition temperature of a superconducting film of thicknessL are analyzed. The film is in contact with a normal substrate (with zero BCS interaction parameter). The analysis is carried out with the aid of a gap equation whose kernel is a solution of a linearized version of Eilenberger's transport equations. The kernel may be written as a sum of two terms. One of these terms dominates in the dirty limit. In this limit, this term is equal to the kernel that satisfies the diffusion equation of de Gennes. The significance of these two terms in determining the transition temperatureT cis compared, for several values ofL, by varying the impurity scattering time. It is shown that the correction to the diffusion approximation may give quantitatively, and in certain limits qualitatively, different results forT c. This correction in general leads to a different critical thicknessL cfrom that determined in the diffusion approximation (T c=0 forL〈L c).
    Type of Medium: Electronic Resource
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  • 9
  • 10
    Publication Date: 2015-08-07
    Print ISSN: 0021-8979
    Electronic ISSN: 1089-7550
    Topics: Physics
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