Transport properties of the ferromagnetic metals. II. Nickel

1976 ◽  
Vol 54 (1) ◽  
pp. 92-102 ◽  
Author(s):  
M. J. Laubitz ◽  
T. Matsumura ◽  
P. J. Kelly

We present new experimental results for the transport properties of Ni. In comparing these results to previously published values, we show that there exists a consistent group of experimental data which establishes reliably the transport properties of pure Ni from perhaps 30 to 1500 K. In the paramagnetic range (T > 630 K), these properties show three characteristic features: a positive slope of the thermal conductivity (which is equivalent to an electrical resistivity increasing less than linearly with temperature), a large negative thermopower, and a Lorenz function substantially larger than the Sommerfeld value, L0. In attempting to provide an explanation of these features, we have discovered that the model of Mott, wherein the electronic relaxation time is inversely proportional to the density of states, does not appear to be universally valid and, more importantly, that the observed properties cannot be consistently explained if we assume pure electron–phonon scattering. To achieve consistency, at least one other scattering mechanism has to be included, such as normal electron–electron scattering; this will be taken up in detail in a subsequent publication.

1978 ◽  
Vol 56 (1) ◽  
pp. 161-174 ◽  
Author(s):  
J. G. Cook ◽  
M. J. Laubitz

The electrical resistivity (ρ), thermoelectric power(S), and thermal conductivity (κ) of two Sr samples and two Ba samples have been determined from 30 to 300 K. Large deviations from Matthiessen's rule (DMR) were observed. The estimated transport properties for ideally pure Sr and Ba indicate that these elements, like Ca, show large deviations from the Bloch–Gruneisen form for ρ(T) at all temperatures, large and positive diffusion thermopowers with a negative phonon-drag contribution, and large deviations from the Wiedemann–Franz relationship (DWFR). In these respects, they are much more like the transition metals than the monovalent metals.In the second, analytical, portion of the paper we study the DWFR in some detail. First, the effect of lattice conduction is estimated, and found to be large. Then, a function X(E) of the electron energy, closely related to the conventional conductivity function σ(E), is estimated from the ρ and S data now available for Ca, Sr, and Ba above 300 K, and used to compute S and the Lorenz function for elastic electron–phonon scattering below 300 K. Comparison with the experimental data indicates that the energy dependence of the electron parameters is responsible for the electronic DWFR, and effects the diffusion thermoelectric power. Such 'band effects' may also be seen in the thermal resistivity due to inelastic scattering in at least Sr. Regrettably, we are not able to explain the observed DMR.


1982 ◽  
Vol 60 (5) ◽  
pp. 693-702 ◽  
Author(s):  
Nathan Wisbr

The temperature-dependent part of the electrical resistivity ρ(T) of a metal consists of the sum of two terms, one term being due to electron–phonon scattering ρcp(T) and the other term being due to electron–electron scattering ρcc(T). One may write[Formula: see text]where θD, is the Debye temperature of the metal and the coefficients C and A give the magnitudes of ρcp(T) and ρcc(T), respectively. For a metal whose electrical resistivity exhibits "simple" behavior, it had been expected that the measured data for ρ(T) would have the following properties. (i) The function f(T/θD) should approach (T/θD) for [Formula: see text]. (ii) The magnitude of the coefficient C should be the same, or nearly so, for all measured samples. (iii) The magnitude of the coefficient A should be the same, or nearly so, for all measured samples.The low-temperature ρexpt(T) data for potassium, which has by now been measured for many samples, exhibit none of these three properties. A discussion will be presented of the reasons for this "non-simple" behavior of ρexpt(T) for potassium.


2003 ◽  
Vol 13 (03) ◽  
pp. 849-871 ◽  
Author(s):  
TSUNEYA ANDO

A brief review is given on electronic and transport properties of carbon nanotubes mainly from a theoretical point of view. The topics include a description of electronic states in a tight-binding model and in an effective-mass or k · p scheme. Transport properties are discussed including absence of backward scattering except for scatterers with a potential range smaller than the lattice constant, its extension to multi-bands cases, and long-wavelength phonons and electron-phonon scattering.


1982 ◽  
Vol 60 (5) ◽  
pp. 740-745 ◽  
Author(s):  
H. van Kempen

Under conditions of extremely high current densities, deviations from the linear current (I) – voltage (V) relation (Ohm's law) occur in normal metals. One can obtain sufficiently high current densities (of the order of 1010 A/cm2) by applying a voltage to a point contact. The nonlinear Boltzmann equation relates the nonlinearities to the energy dependence of the electron scattering probabilities. It is shown, for example, that d2V/dI2 is proportional to α2(ω)F(ω), where F(ω) is the phonon density of states and α(ω) is the electron–phonon scattering matrix element. In addition other interactions arc studied by this method such as electron–magnon interaction and the interaction of electrons with paramagnetic impurities, the well-known Kondo effect. A double point contact geometry is described which allows electron–surface scattering to be studied.


1987 ◽  
Vol 99 ◽  
Author(s):  
Philip B. Allen ◽  
Warren E. Pickett ◽  
Henry Krakauer

ABSTRACTThe resistivity, Hall, and thermopower tensors are calculated for the normal state of oxide superconductors on the assumption of band quasiparticle behavior. The shape of the resistivity ραβin the metallic a-b plane is consistent with ordinary impurity and electron-phonon scattering, but the magnitude is larger than predicted. The Hall tensor is predicted to be hole-like for orbits in the a-b plane but electron-like for a-c or b-c orbits, while the thermopower is predicted to be electron-like in the a-b plane and hole-like along the c-axis. Single crystal experiments have confirmed some of these predictions for the Hall tensor.


2019 ◽  
Vol 64 (4) ◽  
pp. 336
Author(s):  
Kh. A. Gasanov ◽  
J. I. Guseinov ◽  
I. I. Abbasov ◽  
D. J. Askerov ◽  
Kh. O. Sadig

A quantitative theory of electron-phonon interaction in the two-dimensional electron gas in a quantum-sized film with the hyperbolic P¨oschl–Teller confining potential has been developed. Analytical expressions for the transition probability are derived in the case of electron scattering by deformation-induced acoustic, piezoacoustic, and polar optical phonons. The results obtained for various scattering mechanisms in the film are compared with the results obtained for bulk crystals.


1985 ◽  
Vol 6 (5) ◽  
pp. 383-392 ◽  
Author(s):  
R. Cingolani ◽  
L. Vasanelli ◽  
A. Rizzo

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