Theory of Phasons in Aperiodic Crystals

Janssen, Τ.; Radulescu, Ovidiu

doi:10.1080/00150190490462694

Cited by 11 publications

(12 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…and considers momenta close to the Dirac points to capture the strain-induced anisotropy appropriately [122,124,131]. Here, one needs to find the new Dirac point positions explicitly from the dispersion relation, equation (64). As mentioned in Section 4.3, the Dirac points K D ± are given by equations ( 67) and ( 68) to first order in strain tensor.…”

Section: Continuum Models: Effective Dirac Equationmentioning

confidence: 99%

Electronic and optical properties of strained graphene and other strained 2D materials: a review

et al. 2017

View full text Add to dashboard Cite

Abstract. This review presents the state of the art in strain and rippleinduced effects on the electronic and optical properties of graphene. It starts by providing the crystallographic description of mechanical deformations, as well as the diffraction pattern for different kinds of representative deformation fields. Then, the focus turns to the unique elastic properties of graphene, and to how strain is produced. Thereafter, various theoretical approaches used to study the electronic properties of strained graphene are examined, discussing the advantages of each. These approaches provide a platform to describe exotic properties, such as a fractal spectrum related with quasicrystals, a mixed DiracSchrödinger behavior, emergent gravity, topological insulator states, in molecular graphene and other 2D discrete lattices. The physical consequences of strain on the optical properties are reviewed next, with a focus on the Raman spectrum. At the same time, recent advances to tune the optical conductivity of graphene by strain engineering are given, which open new paths in device applications. Finally, a brief review of strain effects in multilayered graphene and other promising 2D materials like silicene and materials based on other group-IV elements, phosphorene, dichalcogenide-and monochalcogenide-monolayers is presented, with a brief discussion of interplays among strain, thermal effects, and illumination in the latter material family.

show abstract

Section: Continuum Models: Effective Dirac Equationmentioning

confidence: 99%

Electronic and optical properties of strained graphene and other strained 2D materials: a review

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Another particularity of quasicrystals is the extra degrees of freedom that are present in the elastic properties 12 and that are related to the behavior of the elementary excitations and stability. 13 In a crystal, any function of the density ͑and the density itself͒ is described as a superposition of reciprocal wave vectors. Then the Fourier transform ͑FT͒ of the density is just a series of sharp spots in the reciprocal space.…”

Section: Introductionmentioning

confidence: 99%

Phason hierarchy and electronic stability of quasicrystals

Naumis

2005

Phys. Rev. B

View full text Add to dashboard Cite

We show that under a random phasonic field, there is a hierarchy in the probability of making a phason in real space. This effect divides the quasicrystal in a stable backbone plus an unstable part. The stable backbone and the unstable sites are obtained by the deflation rules of the corresponding quasicrystalline lattice, and thus analytical formulas to find the stable and unstable parts are provided. A discussion is made about how the electronic stabilization of a quasicrystal is affected by phason jumps in unstable sites. As a result, it is shown that phasons in unstable sites do not compromise the electronic stabilization of the structure, since they only affect low-amplitude diffraction spots of the quasicrystal.

show abstract

“…The phason flip is an intrinsic part of the quasiperiodic structure, restricted by the geometry of a quasicrystal to the specific rearrangement of atoms or structural units (Janssen & Radulescu, 2003;Kiselev et al, 2012). Note that a few different defects are called phasons in the literature.…”

Section: Phason Flipmentioning

confidence: 99%

Phason-flips refinement of and multiple-scattering correction for thed-AlCuRh quasicrystal

2019

View full text Add to dashboard Cite

The origin of the characteristic bias observed in a logarithmic plot of the calculated and measured intensities of diffraction peaks for quasicrystals has not yet been established. Structure refinement requires the inclusion of weak reflections; however, no structural model can properly describe their intensities. For this reason, detailed information about the atomic structure is not available. In this article, a possible cause for the characteristic bias, namely the lattice phason flip, is investigated. The derivation of the structure factor for a tiling with inherent phason flips is given and is tested for the AlCuRh decagonal quasicrystal. Although an improvement of the model is reported, the bias remains. A simple correction term involving a redistribution of the intensities of the peaks was tested, and successfully removed the bias from the diffraction data. This new correction is purely empirical and only mimics the effect of multiple scattering. A comprehensive study of multiple scattering requires detailed knowledge of the diffraction experiment geometry.

show abstract

Theory of Phasons in Aperiodic Crystals

Cited by 11 publications

References 7 publications

Electronic and optical properties of strained graphene and other strained 2D materials: a review

Electronic and optical properties of strained graphene and other strained 2D materials: a review

Phason hierarchy and electronic stability of quasicrystals

Phason-flips refinement of and multiple-scattering correction for thed-AlCuRh quasicrystal

Contact Info

Product

Resources

About