Research on Quasiperiodic Superlattice

Elastic theory of 1D-quasiperiodic stacking of 2D crystals

“…So far two kinds of 1D QC have been discovered and studied. Merlin et al [1], Hu et al [2], Feng et al [3], Terauchi et al [4] and Chen et al [5,6] prepared a Fibonacci sequence with alternating layers of GaAs and AlAs or Al 0.5 Ga 0.5 As, where the GaAs and AlAs were grown by molecular-beam epitaxy. He et al [7] found a 1D QC derived from the 2D decagonal QC in rapidly solidified Al-Ni-Si, Al-Cu-Mn and Al-Cu-Co alloys.…”

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“…A 1D QC is defined as a 3D body which is periodic in the x-y plane and quasiperiodic in the third direction. Merlin et al (1985), Hu et al (1986), Feng et al (1987), Terauchi et al (1988) and Chen et al (1987Chen et al ( , 1989 prepared a Fibonacci sequence with alternating layers of GaAs and AlAs or Al 0.5 Ga 0.5 As, where the GaAs and AlAs were grown by molecular-beam epitaxy. He et al (1988) found a 1D QC derived from the 2D decagonal QC in rapidly solidified Al-Ni-Si, Al-Cu-Mn, and Al-Cu-Co alloys.…”