Discussion of phasons in quasicrystals and their dynamics

Widom, Michael

doi:10.1080/14786430802247163

Cited by 39 publications

(37 citation statements)

References 61 publications

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“…For a general description of phason strain in quasicrystals we refer the reader to Ref. [23], and references therein. For our purposes here, it is sufficient to note that phason strain translates to disorder in the atomic scale structure.…”

Section: A X-ray Diffractionmentioning

confidence: 99%

Magnetic and transport properties of i- R -Cd icosahedral quasicrystals (R=Y,Gd-Tm)

et al. 2014

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We present a detailed characterization of the recently discovered i-R-Cd (R=Y,Gd-Tm) binary quasicrystals by means of x-ray diffraction, temperature-dependent dc and ac magnetization, temperature-dependent resistance, and temperature-dependent specific heat measurements. Structurally, the broadening of x-ray diffraction peaks found for i-R-Cd is dominated by frozen-in phason strain, which is essentially independent of R. i-Y-Cd is weakly diamagnetic and manifests a temperature-independent susceptibility. i-Gd-Cd can be characterized as a spin glass below 4.6 K via dc magnetization cusp, a third order nonlinear magnetic susceptibility peak, a frequency-dependent freezing temperature, and a broad maximum in the specific heat. i-R-Cd (R=Ho-Tm) is similar to i-Gd-Cd in terms of features observed in thermodynamic measurements. i-TbCd and i-Dy-Cd do not show a clear cusp in their zero-field-cooled dc magnetization data, but instead show a more rounded, broad local maximum. The resistivity for i-R-Cd is of order 300μΩ cm and weakly temperature dependent. The characteristic freezing temperatures for i-R-Cd (R=Gd-Tm) deviate from the de Gennes scaling, in a manner consistent with crystal electric field splitting induced local moment anisotropy. We present a detailed characterization of the recently discovered i-R-Cd (R = Y, Gd-Tm) binary quasicrystals by means of x-ray diffraction, temperature-dependent dc and ac magnetization, temperature-dependent resistance, and temperature-dependent specific heat measurements. Structurally, the broadening of x-ray diffraction peaks found for i-R-Cd is dominated by frozen-in phason strain, which is essentially independent of R. i-Y-Cd is weakly diamagnetic and manifests a temperature-independent susceptibility. i-Gd-Cd can be characterized as a spin glass below 4.6 K via dc magnetization cusp, a third order nonlinear magnetic susceptibility peak, a frequency-dependent freezing temperature, and a broad maximum in the specific heat. i-R-Cd (R = Ho-Tm) is similar to i-Gd-Cd in terms of features observed in thermodynamic measurements. i-Tb-Cd and i-Dy-Cd do not show a clear cusp in their zero-field-cooled dc magnetization data, but instead show a more rounded, broad local maximum. The resistivity for i-R-Cd is of order 300 μ cm and weakly temperature dependent. The characteristic freezing temperatures for i-R-Cd (R = Gd-Tm) deviate from the de Gennes scaling, in a manner consistent with crystal electric field splitting induced local moment anisotropy. Keywords Physics and Astronomy Disciplines Condensed Matter Physics Magnetic and transport properties of i-R-Cd icosahedral quasicrystals (R=Y, Gd-Tm)

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Section: A X-ray Diffractionmentioning

confidence: 99%

Magnetic and transport properties of i- R -Cd icosahedral quasicrystals (R=Y,Gd-Tm)

et al. 2014

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“…For example, typical symmetries of decagonal quasicrystals which correspond to (a) ten-fold, (b) two-fold, (c) pseudo two-fold zone axes and also the [111] orientation of the cubic phase (d) can be observed. In addition, the atomic lines (linear resolution) observed show linearly deviation, which are related to lattice vibrations in quasicrystals (phasons) [9,10]. HRTEM images were obtained to observe directly the cuasiperiodic lattice.…”

Section: Resultsmentioning

confidence: 99%

Phase Stability of the Al-Cu-Co Decagonal Phase Under Conventional Solidification

et al. 2009

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Al 65 Cu 15 Co 20 and Al 67 Cu 13 Co 20 (% at.) alloys with composition near to the quasicrystalline decagonal phase was produced by melting in an induction furnace and solidified at room temperature. The structural characterization was carried out by X-ray diffraction (XRD), high resolution transmission electron microscopy (HRTEM) and scanning electron microscopy (SEM). For the structural model of decagonal quasicrsytals, it is important to know which crystalline phases have a structural relationship on the formation and decomposition of this type of phases. In the present investigation, the decagonal phase usually coexist with small amounts of the Al(Cu,Co) cubic phase of B2 type. Then, the quasicrystalline (QC) phase is outside of a single-phase region under equilibrium conditions at room temperature. DSC and TGA techniques showed the thermal stability of the alloy system up to 1000 o C.

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“…Generation of the structure of aperiodic tiles in one periodic grid could result from the action of phasons in the approximants Coddens et al, 1991;Klein et al, 1997;Widom, 2008). Phasons are involved in the formation of metadislocations (Klein et al, 1999;Heggen et al, 2008;Feuerbacher et al, 2008;Feuerbacher, 2005) in Al-Pd-Mn and Al-Pd-Fe alloys, and defectmodulated approximants in Al-Ni-Rh and Al-Pd-Fe alloys (Sun et al, 2007(Sun et al, , 2009).…”

Section: Generation Mechanism Of the Mosaic Of Aperiodic Tiles In Onementioning

confidence: 99%

Quasicrystal-related mosaics with periodic lattices interlaid with aperiodic tiles

Shen

et al. 2020

Acta Cryst Sect A

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Quasicrystals, which have long‐range orientational order without translational symmetry, are incompatible with the theory of conventional crystals, which are characterized by periodic lattices and uniformly repeated unit cells. Reported here is a novel quasicrystal‐related solid state observed in two Al–Cr–Fe–Si alloys, which can be described as a mosaic of aperiodically distributed unit tiles in translationally periodic structural blocks. This new type of material possesses the opposing features of both conventional crystals and quasicrystals, which might trigger wide interest in theory, experiments and the potential applications of this type of material.

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Discussion of phasons in quasicrystals and their dynamics

Cited by 39 publications

References 61 publications

Magnetic and transport properties of i- R -Cd icosahedral quasicrystals (R=Y,Gd-Tm)

Magnetic and transport properties of i- R -Cd icosahedral quasicrystals (R=Y,Gd-Tm)

Phase Stability of the Al-Cu-Co Decagonal Phase Under Conventional Solidification

Quasicrystal-related mosaics with periodic lattices interlaid with aperiodic tiles

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