Numerical investigation of the Hall effect in disordered materials

Houari, Ahmed; Mebrouki, M.; Dib, A.F.R; Ould-Kaddour, F.

doi:10.1016/s0921-4526(99)02279-6

Cited by 6 publications

(3 citation statements)

References 13 publications

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“…It was then conjectured 39 that the sign of the Hall coefficient is correlated with the negative sign of the derivative of the electronic DOS at the Fermi energy, . This consideration was supported by other literature reports 34 , 37 , 38 , including a numerical re-examination of the problem 40 . In our analysis of the Hall coefficient of the HEA and MG samples, we shall check the validity of the relation, i.e.…”

Section: Resultssupporting

confidence: 76%

Electronic transport properties of the Al0.5TiZrPdCuNi alloy in the high-entropy alloy and metallic glass forms

Wencka

Krnel

Jelen

et al. 2022

Sci Rep

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High-entropy alloys (HEAs) are characterized by a simultaneous presence of a crystal lattice and an amorphous-type chemical (substitutional) disorder. In order to unravel the effect of crystal-glass duality on the electronic transport properties of HEAs, we performed a comparative study of the electronic transport coefficients of a 6-component alloy Al0.5TiZrPdCuNi that can be prepared either as a HEA or as a metallic glass (MG) at the same chemical composition. The HEA and the MG states of the Al0.5TiZrPdCuNi alloy both show large, negative-temperature-coefficient resistivity, positive thermopower, positive Hall coefficient and small thermal conductivity. The transport coefficients were reproduced analytically by the spectral conductivity model, using the Kubo-Greenwood formalism. For both modifications of the material (HEA and MG), contribution of phonons to the transport coefficients was found small, so that their temperature dependence originates predominantly from the temperature dependence of the Fermi–Dirac function and the variation of the spectral conductivity and the related electronic density of states with energy within the Fermi-level region. The very similar electronic transport coefficients of the HEA and the MG states point towards essential role of the immense chemical disorder.

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Section: Resultssupporting

confidence: 76%

Electronic transport properties of the Al0.5TiZrPdCuNi alloy in the high-entropy alloy and metallic glass forms

Wencka

Krnel

Jelen

et al. 2022

Sci Rep

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“…This has proved to be successful for the i-Al-Cu-Fe and i-Al-Cu-Ru(Si) QCs, where the DOS in the vicinity of the Fermi level forms a pseudogap. 55 Houari et al 56 have re-examined this problem numerically. For substitutional disorder and weak scattering they confirmed that the sign of R H is related to Àdg/de.…”

Section: Modeling the Electronic Transport Coefficients Of I-ag-in-ybmentioning

confidence: 99%

Electrical and thermal transport properties of icosahedral and decagonal quasicrystals

Dolinšek

2012

Chem. Soc. Rev.

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Electrical and thermal transport properties of quasicrystals are reviewed on the examples of i-Ag-In-Yb and i-Al-Cu-Fe icosahedral phases and d-Al-Co-Ni decagonal phase. Using samples of single-grain morphology and high structural quality, and performing the measurements along well-defined crystallographic directions, the following basic questions in the context of physical properties of quasicrystals are addressed, both experimentally and theoretically: (1) are the unusual transport properties of quasicrystals introduced by the quasiperiodicity of the structure or are they a consequence of complex local atomic order with no direct relationship to the quasiperiodicity; (2) what is the role of the electronic structure of quasicrystals in their electronic transport properties, especially the pseudogap in the electronic density of states in the vicinity of the Fermi energy; (3) what is the anisotropy of the transport coefficients along different crystallographic directions for icosahedral and decagonal quasicrystals and (4) what are the true intrinsic properties of quasicrystalline phases?

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“…Though this method is well established as a primary determination of Avogadro's number at this instruction level, its main disadvantage is that it needs a careful manipulation in getting deposited metals at the cathode of the electrolytic cell and Determination of Avogadro's number via the Hall effect also requires an accurate analytical balance for weighing the masses of deposited metals. As a Hall effect practitioner [5][6][7], I propose here the classical Hall effect for the determination of Avogadro's number as an additional method which is conceptually accessible to first-year science students. To the best of the author's knowledge, there is no indication in the literature of the application of the Hall effect to the determination of Avogadro's number.…”

Section: Introductionmentioning

confidence: 99%

Determination of Avogadro’s number via the Hall effect

Houari

2007

Phys. Educ.

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Many researchers and lecturers have reported that the concept of the mole and Avogadro's number are frequently misunderstood by first-year science students. For this reason, it is highly recommended to introduce this fundamental number to high school and freshman science students as clearly as possible. Therefore, it is pedagogically very useful to diversify the methods of determination of Avogadro's number which are based on basic physics phenomena accessible to those classes of students. Along these lines, I will describe here an unusual method based on the classical Hall effect for determining Avogadro's number. The present method is not relevant for its accuracy but mainly for its simplicity and its 'cleanness' compared to the usual electrochemical method used at this instruction level. In addition, this method provides an extra useful test for the validity of the free electron model.

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Numerical investigation of the Hall effect in disordered materials

Cited by 6 publications

References 13 publications

Electronic transport properties of the Al0.5TiZrPdCuNi alloy in the high-entropy alloy and metallic glass forms

Electronic transport properties of the Al0.5TiZrPdCuNi alloy in the high-entropy alloy and metallic glass forms

Electrical and thermal transport properties of icosahedral and decagonal quasicrystals

Determination of Avogadro’s number via the Hall effect

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