The calculation of calibration curves for low temperature resistance thermometers using a computer

Kopylov, V. N.; Межов-Деглин, Л. П.

doi:10.1016/0011-2275(74)90027-7

Cited by 11 publications

(10 citation statements)

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“…Soviet authors often specified the residual resistivity ratio; RRR = ρ(300 K)/ρ(4.2 K). The highest reported RRR range from 625 [49] to 650-680 [50], to be compared with what we find in our best sample (RRR = ρ(300 K)/ρ(2K) = 683).…”

Section: Supplemental Materialssupporting

confidence: 52%

Boundary conductance in macroscopic bismuth crystals

Kang,

Spathelf,

Fauqué

et al. 2021

Preprint

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The interface between a solid and vacuum can become electronically distinct from the bulk. This feature, encountered in the case of quantum Hall effect, has a manifestation in insulators with topologically protected metallic surface states. Non-trivial Berry curvature of the Bloch waves or periodically driven perturbation are known to generate it. Here, by studying the angle-dependent magnetoresistance in prismatic bismuth crystals of different shapes, we detect a robust surface contribution to electric conductivity when the magnetic field is aligned parallel to a two-dimensional boundary between the three-dimensional crystal and vacuum. The effect is absent in antimony, which has an identical crystal symmetry, a similar Fermi surface structure and equally ballistic carriers, but an inverted band symmetry and a topological invariant of opposite sign. Our observation points to the relevance of band symmetries to survival of metallicity at the boundary interrupting the cyclotron orbits.

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Section: Supplemental Materialssupporting

confidence: 52%

Boundary conductance in macroscopic bismuth crystals

Kang,

Spathelf,

Fauqué

et al. 2021

Preprint

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“…(c) In bismuth (after ref. [33]) it deviates upward. In three different crystals of SrTiO3 (d,e,f) the deviation is upward.…”

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confidence: 88%

Thermal Transport and Phonon Hydrodynamics in Strontium Titanate

et al. 2018

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We present a study of thermal conductivity, κ, in undoped and doped strontium titanate in a wide temperature range (2-400 K) and detecting different regimes of heat flow. In undoped SrTiO_{3}, κ evolves faster than cubic with temperature below its peak and in a narrow temperature window. Such behavior, previously observed in a handful of solids, has been attributed to a Poiseuille flow of phonons, expected to arise when momentum-conserving scattering events outweigh momentum-degrading ones. The effect disappears in the presence of dopants. In SrTi_{1-x}Nb_{x}O_{3}, a significant reduction in lattice thermal conductivity starts below the temperature at which the average inter-dopant distance and the thermal wavelength of acoustic phonons become comparable. In the high-temperature regime, thermal diffusivity becomes proportional to the inverse of temperature, with a prefactor set by sound velocity and Planckian time (τ_{p}=(ℏ/k_{B}T)).

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“…It is unusual to find a significant phonon drag effect at room temperature, though it has been observed [13] for semiconducting diamond above 300 K. Phonon drag has certainly been found in bismuth [14,15] at low temperatures and is, generally, larger in semimetals than metals [16]. The phonon drag effects are strongly dependent on temperature.…”

Section: Phonon Dragmentioning

confidence: 99%

Thermoelectric Properties of Metals and Semiconductors

Goldsmid

2009

Introduction to Thermoelectricity

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Thermoelements are usually made from crystalline solids. They are not commonly single crystals, but their crystalline nature can be observed under a microscope. Sometimes, the transport properties vary with crystalline orientation but, until we deal with specific examples, we shall suppose that the properties are uniform in all directions.The transport of electric charge is due to quasi-free electrons in the solid. The solids of interest to us are metals and semiconductors. In such materials, the electrons carry not only the charge but also the thermal energy. In other words, there is an electronic component of the thermal conductivity. As we shall see later, heat can also be carried by the thermal vibrations of the atoms in a crystal but, for the moment, we confine ourselves to the electronic effects.The idea of conduction by electrons was proposed by Drude and Lorentz using the principles of classical physics. The classical free electron theory predicted that the specific heat should be much larger for a metal than for an electrical insulator but, in reality, there is very little difference. This discrepancy disappeared when Sommerfeld [1] took account of the newly developed quantum theory but neither the classical nor the quantum mechanical-free electron theories were able to explain why some solids are metallic conductors and others are insulators. It was only when notice was taken of the interaction of the electrons with the periodic potential that exists in a crystal lattice that further progress could be made. It was shown that, through this interaction, the energy of the electrons must lie in discrete bands that are separated by forbidden regions or energy gaps. Interestingly, Sommerfeld's theory can still be applied to the current-carrying electrons, if they are assigned an effective mass rather than the mass of a free electron.According to quantum theory, the probability that an electron state of energy, E, will be occupied is given by the Fermi distribution function f 0 .E/ D

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The calculation of calibration curves for low temperature resistance thermometers using a computer

Cited by 11 publications

References 0 publications

Boundary conductance in macroscopic bismuth crystals

Boundary conductance in macroscopic bismuth crystals

Thermal Transport and Phonon Hydrodynamics in Strontium Titanate

Thermoelectric Properties of Metals and Semiconductors

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