Long-Range Order

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Alex Zunger - One of the best experts on this subject based on the ideXlab platform.

  • Optical consequences of Long-Range Order in wurtzite Al x Ga 1 − x N alloys
    Physical Review B, 2003
    Co-Authors: S. V. Dudiy, Alex Zunger
    Abstract:

    The effect of 1:1 long range Order on optical properties of ${\mathrm{Al}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{N}$ alloys is investigated by means of first-principles calculations combined with large-scale atomistic empirical-pseudopotential simulations. We propose an intra-band mechanism of Ordering-induced band gap reduction for different optical polarization. The scaling of band gap reductions with Order parameter is analyzed. Our simulations of inhomogeneous Ordering suggest that coexistence of Ordered and random domains may explain the large magnitude of the observed redshifts upon Ordering.

  • Dependence of Optical Properties of Semiconductor Alloys on Long Range Order, Strain and Pressure
    MRS Online Proceedings Library, 1995
    Co-Authors: Su-huai Wei, Alberto Franceschetti, Alex Zunger
    Abstract:

    Many III–V semiconductor alloys exhibit spontaneous (111) alternate monolayer Ordering when grown from the vapor phase. We have studied theoretically the Ordering induced changes in the optical properties of the semiconductor alloys. We describe (i) the change of the band gap Δ E _ g and the valence band splitting Δ E _12 as functions of the long range Order parameter η, (ii) the consequence of coexistence of (001) epitaxial strain and (111) chemical Ordering on the optical properties, (iii) optical anisotropy and spin polarization effects in the Ordered alloy, (iv) theory of reflectance-difference spectroscopy in Ordered alloy, and (v) the Ordering-induced changes on high energy E _1 and E _2 transitions. Specific, experimentally testable predictions are listed in the summary section.

  • Short- and Long-Range-Order effects on the electronic properties of III-V semiconductor alloys
    Physical Review B, 1995
    Co-Authors: Kurt A. Mäder, Alex Zunger
    Abstract:

    This leads to an indirect-gap to direct-gap crossover in Al{sub 0.5}Ga{sub 0.5}As with sufficient clustering. (iii) The band-gap reduction is accompanied by a localization of band-edge wave functions on certain types of clusters. The clusters act as ``isoelectronic impurities`` which localize states if their concentration (i.e., the degree of short-range Order) is large enough. Electrons at the conduction-band minimum localize on the cations with lower {ital s}-orbital energies. The band-gap reduction and wave-function localization of alloys with short-range Order is compared to the effects of Long-Range Order, where the gap reduction is due to level repulsion between zone-folding conduction states. Numerical results are given for CuPt-type Long-Range Order of AlGaAs{sub 2}, GaInP{sub 2}, and AlInAs{sub 2}. For complete Ordering, the band-gap reduction relative to the random alloys are 0.36, 0.49, and 0.16 eV, respectively.

  • Evolution of alloy properties with Long-Range Order.
    Physical review letters, 1992
    Co-Authors: D. B. Laks, Su-huai Wei, Alex Zunger
    Abstract:

    We present a general theory of compounds with partial Long-Range Order. We derive a simple formula that determines the properties of a partially Ordered compound from those of the perfectly random alloy and the fully Ordered compound. The formula makes accurate predictions of both formulation energies and electronic band structures. We also use the formula to predict the band gaps of Al[sub 1[minus][ital x]]Ga[sub [ital x]]As/GaAs superlattices.

Ettore Vicari - One of the best experts on this subject based on the ideXlab platform.

  • Quasi-Long-Range Order in trapped systems
    Physical Review A, 2011
    Co-Authors: Federico Crecchi, Ettore Vicari
    Abstract:

    We investigate the effects of a trapping space-dependent potential on the low-temperature quasi-Long-Range Order phase of two-dimensional particle systems with a relevant U(1) symmetry, such as quantum atomic gases. We characterize the universal features of the trap-size dependence using scaling arguments. The resulting scenario is supported by numerical Monte Carlo simulations of a classical two-dimensional XY model with a space-dependent hopping parameter, the inhomogeneity of which is analogous to that arising from the trapping potential in experiments of atomic gases.

Dietrich Belitz - One of the best experts on this subject based on the ideXlab platform.

Federico Crecchi - One of the best experts on this subject based on the ideXlab platform.

  • Quasi-Long-Range Order in trapped systems
    Physical Review A, 2011
    Co-Authors: Federico Crecchi, Ettore Vicari
    Abstract:

    We investigate the effects of a trapping space-dependent potential on the low-temperature quasi-Long-Range Order phase of two-dimensional particle systems with a relevant U(1) symmetry, such as quantum atomic gases. We characterize the universal features of the trap-size dependence using scaling arguments. The resulting scenario is supported by numerical Monte Carlo simulations of a classical two-dimensional XY model with a space-dependent hopping parameter, the inhomogeneity of which is analogous to that arising from the trapping potential in experiments of atomic gases.

Bao-heng Zhao - One of the best experts on this subject based on the ideXlab platform.