Quantum oscillations, magnetic breakdown and thermal Hall eﬀect in Co3Sn2S2

The magnetic breakdown effect can be seen by the growth of new frequencies in the quantum oscillations in clean metals as a function of magnetic field. We have studied the variation of the amplitudes in the quantum oscillations in the resistance (the Shubnikov-de Haas effect) as a function of angle in the quasi-two dimensional-organic conductor κ-(BEDT-TTF)2Cu(NCS)2. The measurements were made by means of a radio frequency (rf) tank circuit (~ 50 MHz) at very high magnetic fields(50T-60T) and low temperature(500 mK). The geometry of the rf excitation we used excited in-plane currents, and therefore we measured the in-plane resistivity. In contrast to conventional transport measurements that measure the inter-plane resistivity, the in-plane resistivity is dominated by the magnetic breakdown frequencies. As a result we measured much higher breakdown frequency amplitudes than conventional transport experiments. As is expected, the angular dependence of the Shubnikov-de Haas frequencies have a 1/cosθ behavior. This is due to the change of the cross sectional area of the tubular Fermi surface as the angle with respect to the magnetic field is changed. The amplitude of the oscillations changes due to the spin splitting factor which takes into account the ratio between the spin splitting and the energy spacing of the Landau levels which also has 1/cosθ behavior. We show that our data agree with the semi-classical theory (Lifshitz-Kosevich formula).

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Quantum oscillations of the hall effect of a fermion gas with random impurity scattering

Solid State Communications ◽

10.1016/0038-1098(71)90070-6 ◽

1971 ◽

Vol 9 (1) ◽

pp. iii

Author(s):

A. Bastin ◽

C. Lewiner ◽

O. Betbeder-Matibet ◽

P. Nozieres

Keyword(s):

Hall Effect ◽

Impurity Scattering ◽

Quantum Oscillations ◽

Fermion Gas

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Electron motion and the Hall effect in monocrystalline zinc

Canadian Journal of Physics ◽

10.1139/p77-086 ◽

1977 ◽

Vol 55 (7-8) ◽

pp. 620-628 ◽

Cited By ~ 5

Author(s):

C. M. Hurd ◽

J. E. A. Alderson ◽

S. P. McAlister

Keyword(s):

Qualitative Analysis ◽

Hall Effect ◽

Path Integral ◽

Basal Plane ◽

Electron Motion ◽

Cyclotron Motion ◽

Transverse Magnetoresistance ◽

Hall Resistivity ◽

Magnetic Breakdown

The Hall resistivity ρ21(B, T) observed in Zn when [Formula: see text] and [Formula: see text] has been measured in fields B = 0.1–2.0 T and at temperatures T = 1.7–680 K. Supporting measurements of the transverse magnetoresistance have also been made at 1.7 K. A qualitative analysis of ρ21(B, T) is given separately for the cases when the cyclotron motion is confined to an axial or to the basal plane. In the latter case, the discussion is supported by path integral calculations based upon model orbits chosen to imitate all the geometrical possibilities arising from magnetic breakdown between the monster and needle sheets. The results provide an explanation of the principal features shown by ρ21(B, T).

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