A detailed experimental investigation was made of the phonon thermal conductivity on n-and p-type indium antimonide of single crystals (carrier concentrations 1014 to lo1* ~m -~) in the temperature range 2 to 100 OK. It is shown that the experimental results may be explained by a new mechanism of phonon scattering by charge carriers in the electrical field of impurity centres [2] and a more consistent consideration of the role of normal processes of phonon-phonon interaction a t low temperatures.Eine ausfiihrliche experimentelle Untersuchung der Phononenwiirmeleitfiihigkeit von n-und p-leitenden Indiumantimonid-Einkistallen (Ladungstriigerkonzentrationen von 1014 bis 10l8 ~r n -~) wurde im Temperaturbereich von 2 bis 100 OK durchgefiihrt. Es wird gezeigt, daB die experimentellen Ergebnisse durch einen neuen Mechanismus der Phononenstreuung an Ladungstriigern im elektrischen Feld von Defektzentren [2] und eine konsistent,ere Beriicksichtigung der Rolle der normalen Prozesse der Phonon-Phonon-Wechselwirkung bei tiefen Temperaturen erkliirt werden konnen.

A new type of oscillations in the transverse magnetoresistanee of nondegenerate semiconductors due to inelastic scattering of electrons by optical phonons was theoretically predicted by Gurevich and Firsov. 1 This new effect can be observed if the phonon spectrum of the crystal has an optical branch and if the magnetic field is sufficiently strong to satisfy the condition ftr = iiH/c = (erH/m*c)» 1, where Q is the cyclotron frequency, r is the electronic relaxation time, and ji is the electronic mobility. Later Efros 2 generalized the Gurevich-Firsov theory for degenerate statistics.The physical nature of these oscillations can be explained as follows. At very high magnetic field the distance between the adjacent Landau levels, HQ,, exceeds the longitudinal optical phonon energy, HQJ Q , and the probability of electron-phonon scattering is relatively small. When the magnetic field decreases, the Landau splitting energy H£l becomes equal to HOJ Q . Then the probability of electron-phonon scattering sharply increases, causing the p xx component of the resistivity tensor to increase (the magnetic field H is supposed to be oriented along the z axis).Further decrease of the magnetic field breaks the resonance condition, and the number of transitions induced by optical phonons is decreased until a new resonance is approached. The resonance condition is a> 0 = M£2, where M is an integer. Thus the part of the magnetoresistanee due to scattering by optical phonons should oscillate with a period A(l/#) =e/m*u> 0 c, a)depending on the effective mass m* and co 0 .We have also investigated theoretically similar oscillations of the longitudinal magnetoresistanee for the case of low temperatures, where (fiw 0 /kT) 10 15 20 25 30 35 Kkgauss FIG.

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Oscillations in the magnetoresistance, Hall coefficient, and thermoelectric power in transverse and longitudinal strong magnetic fields are studied for different polycrystalline samples of n‐InAs at liquid helium temperatures. Some pecularities, which have also been observed previously in n‐InSb, cannot be explained by existing theory and need special theoretical treatment.

By the generalized linear quantum transformation theory, we concisely derive the analytic expressions of partition function for general quadratic systems of multi-mode boson and fermion Fock space without any information for the energy spectrum. Under a general condition, we firstly acquire the exact expressions of energy spectra for these systems.PACS numbers: 03.65. Fd,