Enhanced Insulatorlike Electron Transport Behavior of Thermally Tuned Quasicrystalline States of Al-Pd-Re Alloys

Pierce, F. S.; Guo, Qi; Poon, S. J.

doi:10.1103/physrevlett.73.2220

Cited by 143 publications

(79 citation statements)

References 22 publications

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“…The resistivity at 4 Kelvin of the AlP dRe alloy is similar to that of resistive materials like doped semiconductors 26 . So, it is legitimate to compare their respective behaviors as a function of temperature in order to characterize the possible underlying conduction mechanisms implied in AlP dRe at low temperature.…”

Section: B Electronic Conductivity Of Quasicrystalsmentioning

confidence: 57%

“…The specific heat measures give also a weak TDoS at the Fermi level, of order ∼ 1/3 of free electrons for icosahedral phases of AlCuF e, AlLiCu 59 (see fig. figPseudga), and of ∼ 1/10 for i − AlCuRu 60 and i − AlP dRe 26 . The pseudo-gap is also observed experimentally for approximant phases 61 .…”

Section: B Electronic Structure Of Quasicrystalline Materialsmentioning

confidence: 99%

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Electronic transport properties of quasicrystals

Roche¹,

Laissardière²,

Mayou

1997

Journal of Mathematical Physics

105

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We present a review of some results concerning electronic transport properties of quasicrystals. After a short introduction to the basic concepts of quasiperiodicity, we consider the experimental transport properties of electrical conductivity with particular focus on the effect of temperature, magnetic field and defects. Then, we present some heuristic approaches that tend to give a coherent view of different, and to some extent complementary, transport mechanisms in quasicrystals. Numerical results are also presented and in particular the evaluation of the linear response Kubo-Greenwood formula of conductivity in quasiperiodic systems in presence of disorder.

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Section: B Electronic Conductivity Of Quasicrystalsmentioning

confidence: 57%

Section: B Electronic Structure Of Quasicrystalline Materialsmentioning

confidence: 99%

Electronic transport properties of quasicrystals

Roche¹,

Laissardière²,

Mayou

1997

Journal of Mathematical Physics

105

View full text Add to dashboard Cite

show abstract

“…Nonetheless, most of their purported transport properties [3][4][5][6][7][8][9] resemble a more semiconductorlike than metallic character. [10][11][12][13] To complete the puzzle, QC's exhibit an ideal ohmic behavior over a broad voltage range, 14 and the possibility that they also obey Wiedemann-Franz's law has been theoretically suggested. 15 Consequently, neither the notion of metal nor that of semiconductors apply to QC's, clearly demanding the introduction of a more adequate concept to describe them.…”

Section: Introductionmentioning

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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“…As the temperature is further increased Eq. ͑14͒ indicates that the WFL will be valid as long as the coefficients 2 , 3 , and 4 …”

Section: ͑14͒mentioning

confidence: 99%

“…For instance, materials with abundant content of aluminum ͑which is a good metal͒ and with low transition-metal content, such as Al-Pd-Re, Al-Pd-Mn, AlCu-Fe, and Al-Cu-Ru, show high resistivities close to the metal-insulator transition. [3][4][5][6] This is not due to the disorder in the system, such as the Anderson transition, 7 it is rather a consequence of both the quasiperiodicity and the chemical order. Moreover, the temperature dependence of the resistivity shows a nonmetallic behavior, 4,8 the Hall coefficient is three orders of magnitude larger than for related amorphous phases, 9,10 the thermopower changes its sign with temperature, 9,10 and the thermal conductivity is two orders of magnitude lower than that in fcc Al.…”

Section: Introductionmentioning

confidence: 99%

Analytical expressions for the transport coefficients of icosahedral quasicrystals

2003

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We investigate by analytical means the electronic transport properties of approximants and quasicrystals. The spectral resistivity is modeled by Lorentz functions in agreement with realistic ab initio calculations ͑linear muffin-tin orbital basis, Kubo-Greenwood formula͒ for low-order approximants. The analytical expressions for the transport coefficients compare well with both numerical calculations and experiments. Thus, the temperature-dependent conductivity, thermopower, electronic thermal conductivity, and Lorenz number of certain approximants and quasicrystals can be consistently explained.

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Enhanced Insulatorlike Electron Transport Behavior of Thermally Tuned Quasicrystalline States of Al-Pd-Re Alloys

Cited by 143 publications

References 22 publications

Electronic transport properties of quasicrystals

Electronic transport properties of quasicrystals

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

Analytical expressions for the transport coefficients of icosahedral quasicrystals

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