ABAbderrezak Belabbes

Abderrezak Belabbes

*This is an algorithmically generated author record based on publicly available information.

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Abderrezak Belabbes has a total of 22 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Hexagonal Ge / Si 0.25 Ge 0.75 quantum wells: Prediction of quantization and light-emission strength

    by Abderrezak Belabbes, Martin Keller, Jürgen Furthmüller, Silvana Botti, Friedhelm Bechstedt

    We investigate heterostructures composed of hexagonal Ge quantum wells embedded within hexagonal Si 0.25 Ge 0.75 alloy layers, systematically considering variations in crystallographic orientation, well thickness, and external biaxial strain. This study employs density functional theory together with accurate functionals for calculations of the quasiparticle electronic structure. Overall, the heterostructures exhibit type-I band alignment, with the localization of electron and hole wave functions predominantly within the hexagonal Ge regions. The quantum confinement of both charge carrier types is determined by the orientation and thickness of the Ge layer for three different external strains. The results obtained can be interpreted within a rectangular potential-well model, with characteristic parameters derived from band structures of hexagonal Ge and Si 0.25 Ge 0.75 , as well as their strained multiquantum well structures, properly aligned via the branch point energies. Besides confinement energies and subbands, optical transition strengths are also discussed.


  • Open Access

    Surface properties of hexagonal Si and Ge: First-principles study of energetics, atomic relaxation, and electronic structure

    by Martin Keller, Abderrezak Belabbes, Jürgen Furthmüller, Friedhelm Bechstedt, Silvana Botti

    Low-index surfaces of hexagonal (lonsdaleite) silicon and germanium polytypes, 2H-Si and 2H-Ge, are investigated using density functional theory calculations for structural optimization and approximate quasiparticle methods for electronic structure analysis. We examine the relaxed geometries of four surface orientations: ($11\overline{2}0$) $a$ plane, ($1\overline{1}00$) $m$ plane, ($1\overline{1}02$) $r$ plane, and (0001) $c$ plane, encompassing nine distinct terminations. Our calculations reveal a clear energetic hierarchy with surface excess energies increasing in the order: $m$ plane $< a$ plane $< r$ plane $< c$ plane. Surface atomic relaxations are driven by the tendency to eliminate dangling bonds through either pairing or complete filling/emptying with electrons, effectively rendering the surfaces insulating. This behavior is evidenced by the formation of energy gaps between surface-bound states within the fundamental band gap region when projected onto the bulk band structure. We apply approximate quasiparticle methods such as the hybrid functional HSE06 and the shell-LDA-1/2 approach for an accurate description of the band structures. We calculate surface-dependent ionization potentials and electron affinities, and compare our findings with previous results for diamond-structure Si and Ge crystals. These results provide fundamental insights into the surface physics of hexagonal group-IV semiconductors and their potential applications in nanoelectronics.

  • First-principles insight in structure-property relationships of hexagonal Si and Ge polytypes

    by Martin Keller, Abderrezak Belabbes, Jürgen Furthmüller, Friedhelm Bechstedt, Silvana Botti

    Hexagonal SiGe is a promising material for combining electronic and photonic technologies. In this paper, the energetic, structural, elastic, and electronic properties of the hexagonal polytypes (2H, 4H, and 6H) of silicon and germanium are thoroughly analyzed under equilibrium conditions. For this purpose, we apply state-of-the-art density functional theory. The phase diagram, obtained in the framework of a generalized Ising model, shows that the diamond structure is the most stable under ambient conditions, but hexagonal modifications are close to the phase boundary, especially for Si. Our band structure calculations using the modified-Becke-Johnson–local-density-approximation (MBJLDA) and Heyd-Scuseria-Ernzerhof (HSE06) exchange-correlation functionals predict significant changes in electronic states with hexagonality. While Si crystals are always semiconductors with indirect band gaps, the hexagonal Ge polytypes have direct band gaps. The branch-point energies of the Si polytypes appear in the fundamental gaps, while for the Ge crystals they are below the valence band maxima. Band alignment based on the branch-point energy leads to type-I heterocrystalline interfaces between Ge polytypes, where electrons and holes can be trapped in the layer with the higher hexagonality.


  • Band lineup at hexagonalSixGe1−x/SiyGe1−yalloy interfaces

    by Abderrezak Belabbes, Silvana Botti, Friedhelm Bechstedt

    The natural and true band profiles at heterojunctions formed by hexagonal SixGe1−x alloys are investigated by a variety of methods: density-functional theory for atomic geometries, approximate quasiparticle treatments for electronic structures, different band-edge alignment procedures, and construction of various hexagonal unit cells to model alloys and heterojunctions. We demonstrate that the natural band offsets are rather unaffected by the choice to align the vacuum level or the branch point energy, as well as by the use of a hybrid or the Tran-Blaha functional. At interfaces between Ge-rich alloys we observe a type-I heterocharacter with direct band gaps, while Si-rich junctions are type-I but with an indirect band gap. The true band lineups at pseudomorphically grown heterostructures are strongly influenced by the generated biaxial strain of opposite sign in the two adjacent alloys. Our calculations show that the type-I character of the interface is reduced by strain. To prepare alloy heterojunctions suitable for active optoelectronic applications, we discuss how to decrease the compressive biaxial strain at Ge-rich alloys.


  • Giant Optical Oscillator Strengths in Perturbed Hexagonal Germanium

    by Abderrezak Belabbes, Friedhelm Bechstedt, Silvana Botti

    By means of ab initio calculations we demonstrate that perturbed hexagonal germanium is a superior material for active optoelectronic devices in the infrared spectral region. Perfect lonsdaleite germanium is a pseudodirect semiconductor, with a direct fundamental band gap but almost vanishing optical transitions. Perturbing the system by replacing a germanium atom with a silicon atom in the primitive cell increases the oscillator strength at the onset gap by orders of magnitude, with a concurrent blue shift of the transition energies. This effect is mainly due to the increased s character of the lowest conduction band because of the perturbation‐induced wave function mixing. A structural distortion of pure lonsdaleite Ge can enhance as well optical oscillator strengths, but their magnitude significantly depends on the specific details of the resulting atomic geometry. In particular, moderate tensile uniaxial strain can induce an order inversion of the two lowest conduction bands, leading to an extremely efficient enhancement of the dipole matrix elements at the minimum gap. In general, chemical and/or structural perturbations are shown to make lonsdaleite germanium a suitable material for light emitting devices.


  • Forbidden Band‐Edge Excitons of Wurtzite‐GaP: A Theoretical View

    by Abderrezak Belabbes, Friedhelm Bechstedt

    By means of an approximate quasiparticle description we study the electronic structure of wurtzite‐GaP in more detail for the two lowest and conduction bands and the three highest , , and valence bands. We conclude that the corresponding three gaps between the valence bands and the conduction band are quasi‐direct, while the ones involving the s‐like conduction band are direct. The optical oscillator strengths are also calculated outside the point. Their influence on the observability of excitons in absorption and emission spectra is investigated. The almost dipole‐forbidden transitions into the lowest p‐like conduction band become substantial for finite wave vectors perpendicular to the c‐axis. Therefore, the finite extent of the exciton envelope functions gives rise to non‐vanishing transition strengths, which explain the intense photoluminescence observed experimentally by forbidden p‐type excitons.


  • Polytypism in ZnS, ZnSe, and ZnTe: First-principles study

    by F. Boutaiba, A. Belabbes, M. Ferhat, F. Bechstedt

    We report results of first-principles calculations based on the projector augmented wave (PAW) method to explore the structural, thermodynamic, and electronic properties of cubic (3C) and hexagonal (6H, 4H, and 2H) polytypes of II-VI compounds: ZnS, ZnSe, and ZnTe. We find that the different bond stacking in II-VI polytypes remarkably influences the resulting physical properties. Furthermore, the degree of hexagonality is found to be useful to understand both the ground-state properties and the electronic structure of these compounds. The resulting lattice parameters, energetic stability, and characteristic band energies are in good agreement with available experimental data. Trends with hexagonality of the polytype are investigated.


  • Relation between spontaneous polarization and crystal field from first principles

    by A. Belabbes, J. Furthmüller, F. Bechstedt

    Recently several hexagonal polytypes of III-V compounds have been discovered during growth of nanowires. They exhibit a spontaneous polarization. We calculate the polarization using the ab initio density functional theory within the Berry phase and the electrostatic method. We demonstrate its clear relationship to the crystal field characterized by internal-cell parameters and polytype hexagonality. Sign and magnitude of the polarization field in wurtzite follow the deviation of the internal-cell parameter from its ideal value, thereby explaining the opposite behavior of III-nitrides and the corresponding phosphides, arsenides, and antimonides. DOI: http://dx.doi.org/10.1103/PhysRevB.87.035305 ©2013 American Physical Society


  • Imposing changes of band and spin–orbit gaps in GaNBi

    by A. Belabbes, A. Zaoui, S. Laref, M. Ferhat


  • Electronic bands of III-V semiconductor polytypes and their alignment

    by Abderrezak Belabbes, Christian Panse, Jürgen Furthmüller, Friedhelm Bechstedt

    The quasiparticle band structures of four polytypes 3C, 6H, 4H, and 2H of GaP, GaAs, GaSb, InP, InAs, and InSb are computed with high accuracy including spin-orbit interaction applying a recently developed approximate calculation scheme, the LDA-1/2 method. The results are used to derive band offsets $\Delta${}Ec and $\Delta${}Ev for the conduction and valence bands between two polytypes. The alignment of the band structures is based on the branch-point energy EBP for each polytype. The aligned electronic structures are used to explain properties of heterocrystalline but homomaterial junctions. The gaps and offsets allow to discuss spectroscopic results obtained recently for such junctions in III-V nanowires.