Quantum theory of thermogalvanomagnetic phenomena (TGMP) in conductors with equal concentration of electrons and holes

Abstract

For the case of a magnetic quantization field a method is developed to calculate the conductivity current and heat flow up to terms of l/(Q r)2; B end t being the cyclotron resonance frequency of the carriers and the relaxation time, respectively. The kinetical coefficients, determined by these currents, are necessary for the investigation of TGMP in conductors with equal concentrations of electrons and holes and also of the oscillations of the Hall constant in normal conductors. For the scattering on a short-range potential the dependence of @j on the magnetic field is analysed.9aCTOTa HOCETeJIeB, Z KEHeTH--BpeMR PeJraHCaUHU. qecmie H O~@ @ E U E~H T~I , onpenemeMrae ~T E M H IIOTOH~ME, H~O~X O W M~I ~J I H ~3 ya Tawxe o c~~n n s~u b IIOCTORHHOB Xonna B 06b114~b1x npoBonmKax. l I p~ pacce- ¶eHER TrMR B IIpOBOnHUKaX C OREHaHOBOfi HOHUeHTpaUUefi 3JIeHTpOHOB H PJdPOK, IIHEE Ha HOpOTKOnefiCTBYIoI4eM IIOTeHUEaJIe IIpOaHaJIE3EpOBaHa XIBECEMOCTb $2 OT MarHETHOrO nOn5X.

Thermopower, entropy, and the Mott relation in HgSe:Fe

“…͑4͒ suggesting that this equation is either invalid or incomplete. There remains a possibility that the actual phase was not the same as xx 14,15 Although this has been seen experimentally, 12,23 it should be a small effect in the present case where B/ f р0.1. However, a similar phase difference is also expected when the scattering potential is long range, 24 a situation that might well occur in HgSeFe.…”

“…Equations for the Hall conductivity xy have been given by Horton, 13 Guseva and Zyryanov, 14 and Zyryanov and Kuleyev 15 ͑the last two papers give a result only for the fundamental component at zero temperature͒. Horton gives…”

Magneto-oscillations of the Hall coefficient in n-type GaSb at the extreme quantum limit

“…It is known that the oscillating behavior of R H may have different origins and the most natural explanation, based on the oscillatory behavior of the scattering time [16,17], failed to explain the unexpectedly high magnitude of the last maximum in R H : According to Viehwegen et al [23] and Zeitler et al [19] this last feature can be justified by invoking low energy tails where the electrons are localized in the density of states (DOS) of the two lowest spin-split 0 (2 ) and 0 (þ ) LLs. In the absence of spin-flip scattering the two spin-up and spin-down electron systems cannot mix and have to be considered separately; moreover, localized states cannot exist at higher LLs ðn $ 1Þ; since they should coexist with extended states having the same energy and spin.…”

“…[5] and references therein ), n-type doping of bulk crystals grown from the melt is normally limited to the high density range (n $ 10 17 cm 23 ). Differently, GaSb samples with free electron densities as low as a few 10 16 cm 23 have been obtained by molecular beam epitaxy (MBE) [6,7]; however, the minimum donor concentration to obtain n-type conductivity always overcomes the critical density n c for the Mott transition in the G valley (n c , 10 15 cm 23 ). Therefore, at low temperature the electron gas in the G valley is always degenerate.…”

“…The generally observed features in the magnetic field dependence of the Hall resistivity at the EQL are the following. (i) The amplitude of the last oscillation of R H is much greater than the one observed at LLs with higher quantum number ðn $ 1Þ and cannot be explained as simply due to the influence of SdH oscillations of s xx through the tensorial relationship r xy ¼ s xy =ðs 2 xx þ s 2 xy Þ [15], nor to the Fermi-energy dependence of the collision time [16,17]. This oscillation results in positive values of the DR ¼ ðR H 2 R cl Þ=R cl ratio usually followed by negative values of DR (Hall dip).…”