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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 3 (1970), S. 147-174 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Accurate and detailed measurements of the temperature dependence of the longitudinal magnetoresistance of single-crystal Bi-Sb alloys have been made, with static magnetic fields in the range 0–100 kG oriented parallel to the trigonal axis. Alloy concentrations were in the range 8–12 at.% Sb, and temperatures in the range 1–35 K. At very high fields the resistance increases with increasing temperature in a metallic manner with “ideal” and “residual” components, in contrast to the semiconductor behavior observed at zero field or low fields. For the high-field semimetal regime the electrical resistance behaves in a simple manner similar to a metal in zero field, in contrast to the complicated magnetoresistance phenomena for metals in low fields. This behavior can be understood in terms of a simple quasi-one-dimensional extreme-quantum-limit regime. The magnetic-field-induced semiconductor-semimetal transition is associated with an energy gap and changes of the energy-band structure which are of order 1 meV. Thermal activation energies for electrical conduction manifest this gap only at temperatures below approximately 20 K. Activation energies an order of magnitude larger which have been measured at considerably higher temperatures are apparently the direct gap at theL-point in the Brillouin zone and are not directly connected with the semiconductor-semimetal transition. Our results indicate that the zero-field indirectL-T energy gap increases from zero somewhere near 7–8 at. % Sb to values only as large as approximately 1.5 meV at 12 at. % Sb. At the magnetic-field induced transition there occurs evidence of an intermediate “excitonic insulator” phase, a resistance minimum below 10 K reminiscent of the Kondo alloy behavior. This anomalous regime is a property of the semiconductor-to-semimetal transition and cannot be associated with the well-known temperature and magnetic-field “freeze-out” of charge carriers in extrinsic semiconductors, or with magnetic ordering of the Kondo type.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 7 (1972), S. 415-432 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The electrical resistivity of semimetals in the extreme quantum limit is strongly affected by the presence of anomalous charge—density waves at low temperatures. Anomalous Green's function and perturbation theories of the charge—density wave regime are related and extended to calculation of the imaginary part of the electron self-energy. The electrical resistivity due to electron—hole scattering is calculated. The electron—hole scattering reaches a peak value near a scaling temperatureT c with a lnT decrease at higher temperatures. When combined with electron—impurity and electron—phonon scattering contributions, the total resistivity behaves in a manner which has been observed experimentally in Bi-Sb alloys.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 13 (1973), S. 525-551 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A weak-coupling theory of the itinerant-electron antiferromagnet forT〉T c is described, Vertex and self-energy parts are treated self-consistently using Ward-Pitaevskii identities. The weak-coupling criterion is that the scalar three-vertex must be suitably small. This condition is not satisfied right down toT c ; however, it is satisfied in a region nearT c where the corrections to the bare electron-electron interaction are not small. Expressions are derived for the specific heat, temperature derivative of the electrical resistivity, etc., which are all proportional to the weakly singular form[T c /(T−T c )] n , withh«1. An analogous theory applies for superconductors. In this case the weak-coupling exponenth is approximately equal to(T c /E F )2. This quantity is typically 10−8–10−7 for superconductors, and in the weak-coupling temperature regime the lambda curve singularity would not be observable experimentally. However, for an itinerant-electron antiferromagnet such as chromium, the quasicubic shape of the electron and hole Fermi surfaces causes enhancement ofh to a value of order 10−1. For chromium the theory is consistent with experimental results and with a recent theory by Dzyaloshinskii and Kats (using a different method).
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 15 (1974), S. 637-646 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Theory of the phase transition of an itinerant electron antiferromagnet is similar to superconductivity theory, including singular contributions to the specific heat and other properties at the transition temperature. The effects of a small concentration of normal impurities, which are pair breaking for the antiferromagnet, are calculated for temperatures nearT c . The principal effect of normal homovalent impurities is temperature smearing of the phase transition due to inhomogeneous electron-impurity scattering. This temperature smearing removes the singularities, leaving peaks with finite amplitudes which depend on the impurity concentration in a simple manner. Recent experimental results for chromium are discussed.
    Type of Medium: Electronic Resource
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