Oscillatory Galvanomagnetic Properties of Bismuth Single Crystals in Longitudinal Magnetic Fields

Babiskin, J.

doi:10.1103/physrev.107.981

Cited by 45 publications

(8 citation statements)

References 29 publications

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“…Second, there is a smooth and marked deviation from the periodicity in H~l characteristic of de Haas-van Alphen oscillations. This phenomenon has been noted by Babiskin in the longitudinal magnetoresistance 8 and by Tanuma in the transverse magnetoresistance. 54 By making trial log-log plots of Fig.…”

Section: The Class IV Pointssupporting

confidence: 59%

“…Also of interest is the fact that the results of measurements at certain magnetic field orientations in some of the de Haas-van Alphen-type experiments do not fit well into the generally accepted picture of the electron Fermi surface. This is notably true of the measurements of the oscillatory components of the longitudinal magnetoresistance, 8 the transverse magnetoresistance, 7 and the Hall effect. 9 It is the principal purpose of this paper to present experimental evidence, from the Shubnikov-de Haas effect, that there are at least three and very likely four sets of carriers in bismuth.…”

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confidence: 93%

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Shubnikov-de Haas Effect in Bismuth

Lerner

1962

Phys. Rev.

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The oscillatory component of the transverse magnetoresistance of bismuth has been measured as a function of magnetic field orientation at liquid helium temperatures. A derivative technique was employed. In addition to sets of periods, observed in the de Haas-van Alphen effect by Shoenberg and by Brandt and attributed by them, respectively, to the electron and light-hole Fermi surfaces, we observe a new set of isotropic short periods, P = 0.72X10~5 G" 1 . The squares of the electron Fermi momenta w 0 /cn 2 , w 0 /c 2 2 2 , W0K33 2 , 7W0K23 2 are, respectively, 0.189, 45.4, 0.918, and -4.54 mo milli-electron volts (meV). For the light holes, moKu 2 and W0K33 2 are 1.51 and 21.0 Wo meV. For the new heavy carriers, w 0 «: 2 = 3.18 Wo meV. These data are fitted to two possible three-carrier models of the Fermi surface, and to a four-carrier model. Significant deviations of the oscillations from periodicity in H~l are observed for the electron part of the Fermi surface for certain magnetic field orientations.

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Section: The Class IV Pointssupporting

confidence: 59%

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confidence: 93%

Shubnikov-de Haas Effect in Bismuth

Lerner

1962

Phys. Rev.

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“…[21]), and subsequently for bismuth in 1957 (Ref. [22]). For semiconductor n-type InSb, NLMR up to −70% at 77 K was reported.…”

Section: Observationsmentioning

confidence: 99%

Recent observations of negative longitudinal magnetoresistance in semimetal

Jia

2016

Chinese Phys. B

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The discovery of Dirac semimetal and Weyl semimetal has motivated a growing passion for investigating the unique magneto-transport properties in the topological materials. A Weyl semimetal can host Weyl fermions as its low-energy quasi-particle excitations, and therefore perform exotic features analogous to those in high-energy physics, such as the violation of the chiral charge conservation known as the chiral anomaly. One of the electrical transport signatures of the chiral anomaly is the Adler-Bell-Jackiw (ABJ) anomaly which presents as a negative magnetoresistance when the magnetic field and the current are parallel. Very recently, numerous experiments reported negative longitudinal magnetoresistance (NLMR) in topological materials, but the details of the measurement results are various. Here the materials and the corresponding experiment results are briefly reviewed. Besides the plausible explanation of the ABJ anomaly, some other origins of the NLMR are also discussed.

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“…The experimental observation of a strong negative longitudinal MR is no new finding. It was reported in compensated semimetals such as pure elemental antimony already in 1955 by Steele [40] and later in bismuth and tungsten [41][42][43], but also in anisotropic antiferromagnetic metal chromium [43]. In these materials an inhomogeneous current distribution can occur in magnetic fields, when the current is not injected homogeneously into the sample [42][43][44].…”

Section: Introductionmentioning

confidence: 99%

On the search for the chiral anomaly in Weyl semimetals: the negative longitudinal magnetoresistance

et al. 2016

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Recently, the existence of massless chiral (Weyl) fermions has been postulated in a class of semi-metals with a non-trivial energy dispersion. These materials are now commonly dubbed Weyl semi-metals (WSM). One predicted property of Weyl fermions is the chiral or Adler-Bell-Jackiw anomaly, a chirality imbalance in the presence of parallel magnetic and electric fields. In WSM, it is expected to induce a negative longitudinal magnetoresistance (MR). Here, we present experimental evidence that the observation of the chiral anomaly can be hindered by an effect called 'current jetting'. This effect also leads to a strong apparent negative longitudinal MR, but it is characterized by a highly non-uniform current distribution inside the sample. It appears in materials possessing a large field-induced anisotropy of the resistivity tensor, such as almost compensated high-mobility semimetals due to the orbital effect. In case of a non-homogeneous current injection, the potential distribution is strongly distorted in the sample. As a consequence, an experimentally measured potential difference is not proportional to the intrinsic resistance. Our results on the MR of the Weyl semimetal candidate materials NbP, NbAs, TaAs, and TaP exhibit distinct signatures of an inhomogeneous current distribution, such as a field-induced 'zero resistance' and a strong dependence of the 'measured resistance' on the position, shape, and type of the voltage and current contacts on the sample. A misalignment between the current and the magneticfield directions can even induce a 'negative resistance'. Finite-element simulations of the potential distribution inside the sample, using typical resistance anisotropies, are in good agreement with the experimental findings. Our study demonstrates that great care must be taken before interpreting measurements of a negative longitudinal MR as evidence for the chiral anomaly in putative Weyl semimetals.

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Oscillatory Galvanomagnetic Properties of Bismuth Single Crystals in Longitudinal Magnetic Fields

Cited by 45 publications

References 29 publications

Shubnikov-de Haas Effect in Bismuth

Shubnikov-de Haas Effect in Bismuth

Recent observations of negative longitudinal magnetoresistance in semimetal

On the search for the chiral anomaly in Weyl semimetals: the negative longitudinal magnetoresistance

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