Fermi surfaces and anomalous transport in quasicrystals

Roche, Stephan; Fujiwara, Takeo

doi:10.1103/physrevb.58.11338

Cited by 54 publications

(39 citation statements)

References 42 publications

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“…In addition, the ␥ i parameters can be related to the diffusivity of the corresponding states. 68,93 For the sake of illustration in Fig. 3 the spectral conductivity curve, as obtained from expression ͑3͒, is shown for a suitable choice of the parameters ␥ i and ␦ i .…”

Section: Electronic Structure Modelmentioning

confidence: 99%

Universal features in the electrical conductivity of icosahedral Al-transition-metal quasicrystals

Maciá

2002

Phys. Rev. B

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In this work we report the existence of certain universal features in the temperature dependence of the electrical conductivity of Al-transition-metal icosahedral quasicrystals, extending the results previously reported on the inverse Matthiessen rule ͓D. Mayou, C. Berger, F. Cyrot-Lackmann, T. Klein, and P. Lanco, Phys. Rev. Lett. 70, 3915 ͑1993͔͒. We propose a tentative classification scheme providing a unified description of the electrical conductivity curves over a broad temperature range. We introduce a phenomenological model describing the electrical conductivity of icosahedral quasicrystals, deriving closed analytical expressions. We compare our analytical results with suitable experimental data and illustrate the use of the introduced phenomenological coefficient in order to extract information about the electronic structure of the samples from a fitting analysis of the experimental conductivity curves.

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Section: Electronic Structure Modelmentioning

confidence: 99%

Universal features in the electrical conductivity of icosahedral Al-transition-metal quasicrystals

Maciá

2002

Phys. Rev. B

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“…In literature, several calculations have already been done from ab-initio studies (see for instance Refs. [58,[60][61][62]). They give indication of non-ballistic diffusion [58][59][60][61][62]71].…”

Section: Ab-initio Calculations Of the Quantum Diffusionmentioning

confidence: 99%

Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Breakdown of the semiclassical model

Laissardière¹,

Julien²,

Mayou³

2008

Philosophical Magazine

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The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semiconductors. Physical systems that are beyond the range of applicability of this theory are thus of fundamental interest. It appears that in quasicrystals and related complex metallic alloys, a new type of break-down of this theory operates. This phenomenon is related to the specific propagation of electrons. We develop a theory of quantum transport that applies to a normal ballistic law but also to these specific diffusion laws. As we show phenomenological models based on this theory describe correctly the anomalous conductivity in quasicrystals. Ab-initio calculations performed on approximants confirm also the validity of this anomalous quantum diffusion scheme. This provides us with an ab-initio model of transport in approximants such as α-AlMnSi and AlCuFe 1/1 cubic approximant.

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“…Modern electronic structure calculations performed for the approximants to various i alloys unanimously predict the presence of the pseudogap in the DOS(E F ). [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] For the i Al-Pd-Re system, the possible existence of a real gap in the DOS around E F was predicted. 22,24 The predicted minimum of DOS(E F ) ͑a pseudogap͒ is not a unique characteristic which distinguishes the electronic structure of QC's from that of crystalline and amorphous alloys since the pseudogap does occur in both crystalline and amorphous systems.…”

Section: Introductionmentioning

confidence: 99%

Absence of fine structure in the photoemission spectrum of the icosahedral Al-Pd-Mn quasicrystal

et al. 2001

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Absence of fine structure in the photoemission spectrum of the icosahedral Al-Pd-Mn quasicrystal AbstractThe results of the low-temperature ultrahigh-energy-resolution photoemission studies of a single-grain icosahedral alloy Al 70 Pd 21.5 Mn 8.5 have been presented. The existence of the theoretically predicted pseudogap in the density of states at the Fermi energy has been confirmed. No evidence of the theoretically predicted spikiness of the density of states could be observed. It has been suggested that the failure to detect the predicted spikiness of the density of states in icosahedral quasicrystals is consistent with the results of Zijlstra and Janssen [Europhys. Lett. 52, 578 (2000)] who showed that the spikiness occurs only in lowerorder periodic approximants to icosahedral quasicrystals, but does not survive in the quasiperiodic limit. Disciplines Condensed Matter Physics | Metallurgy CommentsThis article is from Physical Review B 64 (2001) The results of the low-temperature ultrahigh-energy-resolution photoemission studies of a single-grain icosahedral alloy Al 70 Pd 21.5 Mn 8.5 have been presented. The existence of the theoretically predicted pseudogap in the density of states at the Fermi energy has been confirmed. No evidence of the theoretically predicted spikiness of the density of states could be observed. It has been suggested that the failure to detect the predicted spikiness of the density of states in icosahedral quasicrystals is consistent with the results of Zijlstra and Janssen ͓Europhys. Lett. 52, 578 ͑2000͔͒ who showed that the spikiness occurs only in lower-order periodic approximants to icosahedral quasicrystals, but does not survive in the quasiperiodic limit.

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Fermi surfaces and anomalous transport in quasicrystals

Cited by 54 publications

References 42 publications

Universal features in the electrical conductivity of icosahedral Al-transition-metal quasicrystals

Universal features in the electrical conductivity of icosahedral Al-transition-metal quasicrystals

Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Breakdown of the semiclassical model

Absence of fine structure in the photoemission spectrum of the icosahedral Al-Pd-Mn quasicrystal

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