The thermal and electrical resistivity of bismuth and antimony at low temperatures

Low Temperature Transport Properties of the Group V Semimetals

“…showed that the ideal resistivity of this component varies as r 3 from 4·2 to 20 K, confirming the early results of White and Woods (1958), who reported a r 2 ' 75 variation for polycrystalline material. In this case the behaviour is similar to that of arsenic.…”

“…At lower temperatures, there is the r 2 variation first reported by White and Woods (1958) for polycrystalline material and further confirmed by many investigators on single crystal samples (Bhagat and Manchon 1967;Friedman 1967;Fenton et al 1969;Hartman 1969;Chopra et al 1971;Kopylov and Mezhov-Deglin 1974;Kukkonen and Sohn 1977;Uher and Pratt 1977). But this variation still remains a matter for conjecture (Anagnostopoulos and Aubrey 1976;Kukkonen and Maldague 1976).…”

Experimental determination of the Lorenz number in Cu0.01Bi2Te2.7Lukas1, Liu2, Joshi3 et al. 2012Phys. Rev. B420200View full textAdd to dashboardCite

“…Ideal thermoelectric materials will have a high mobility along with a low lattice thermal conductivity which is comparable to the electronic portion, and so the use of magnetic field to separate out carrier κ would be perfect for the ideal nanostructured thermoelectric material. 1,[5][6][7][8][9] The assumptions that are being made for the analysis (models used to fit the data) using this method are that: the Lorenz number is independent of magnetic field, the lattice is unaffected by magnetic field, there is no bipolar contribution, and electron-phonon interactions are negligible. The assumption that the Lorenz number and lattice are independent of magnetic field is true for some materials, which we take to be the case for these materials, 12 but in general is not true and can be affected by secondary magnetic impurities; the authors are investigating the generality of this assumption further.…”

“…6,12 Neither method has been extensively used due to the fact that there are restrictions on the materials that can be measured because there must be a significant carrier contribution to the total thermal conductivity; also the experimental setup is rather difficult to realize. 1,[5][6][7][8][9] The advent of the Physical Properties Measurement System (PPMS) from Quantum Design makes the experimental setup and measurement readily possible for either method. The purpose of this paper is to present experimental techniques for the determination of the Lorenz number from which both the electronic and lattice contributions to the thermal conductivity can be directly extracted.…”

“…[5][6][7][8] In the MTR method the sample is kept at a constant temperature while the field is varied. In this case both the electrical conductivity as well as the total thermal conductivity will change with the field due to the Lorentz force acting on the carriers, which is induced by the transverse magnetic field.…”