scholarly journals Fermi Surface of AuSb2. I. High-Field Galvanomagnetic Effects

1970 ◽  
Vol 1 (4) ◽  
pp. 1273-1284 ◽  
Author(s):  
J. Ahn ◽  
D. J. Sellmyer

The thermal and electrical magnetoresistance tensors are expected to depend in identical ways on the electronic structure of a metal provided that scattering is predominantly elastic. It is shown that the lattice contribution to the thermal conductivity tensor can be neglected in copper at 2°K up to a field of 10 6 G, and that there are experimental reasons which suggest the thermal effect to be more amenable to accurate experimental investigation than the electrical one. The expected details of the electrical Hall effect in and around high symmetry directions are discussed in terms of the extended zone Fermi surface, and it is shown that the high field limits of the Hall coefficient with magnetic field exactly along the high symmetry directions are very simply related to a caliper dimension of the Fermi surface necks. Experimental techniques using carbon resistance thermometers and of making accurately placed thermal contacts to a copper crystal are described, and are followed by the results obtained in two samples, of resistance ratio 1600 an d 7000, in fields up to 40 kG. The open orbit dominated behaviour expected for the electrical effect near the high symmetry directions is satisfactorily confirmed in the thermal experiment, but the high field limits of the coefficients exactly along the symmetry directions do not agree at all well with the calculations, particularly in <111>. It is clearly necessary to measure the electrical and thermal effects in the same sample to check the validity of the Wiedemann-Franz law.


1995 ◽  
Vol 51 (13) ◽  
pp. 8325-8336 ◽  
Author(s):  
J. Caulfield ◽  
S. J. Blundell ◽  
M. S. L. du Croo de Jongh ◽  
P. T. J. Hendriks ◽  
J. Singleton ◽  
...  

1966 ◽  
Vol 141 (2) ◽  
pp. 592-603 ◽  
Author(s):  
J. R. Klauder ◽  
W. A. Reed ◽  
G. F. Brennert ◽  
J. E. Kunzler

2012 ◽  
Vol 81 (7) ◽  
pp. 074715 ◽  
Author(s):  
Dai Aoki ◽  
Georg Knebel ◽  
Ilya Sheikin ◽  
Elena Hassinger ◽  
Liam Malone ◽  
...  

1982 ◽  
Vol 60 (5) ◽  
pp. 687-692 ◽  
Author(s):  
A. W. Overhauser

The high-field magnetoresistance of potassium, which fails to saturate, can be an intrinsic property only if the Fermi surface is multiply connected. Direct observation of open-orbit magnetoresistance peaks by Coulter and Datars confirms this theoretical principle. Since the Brillouin zone of potassium is only half full, and the Fermi surface is nearly spherical, open orbits can occur only if the translational symmetry of the crystal is broken by a charge-density-wave structure. The open-orbit distributions that result explain the observed magnetoresistance patterns.


1968 ◽  
Vol 176 (2) ◽  
pp. 671-683 ◽  
Author(s):  
A. J. Arko ◽  
J. A. Marcus ◽  
W. A. Reed

The longitudinal magnetoresistance is easier to analyse than the transverse magneto­resistance, and it is used here to study how the theoretically predicted behaviour depends on the details of the model chosen. It is found that for a multiply-connected Fermi surface like that of copper there is a large difference according as the scattering is through large or small angles, and that a very small amount of small angle scattering imposed on predomi­nantly isotropic scattering can have a powerful influence in increasing the difference between zero-field and high-field conductivity. The effects discussed arise from those orbits which pass through Brillouin zone boundaries and which in a high field greatly accelerate the relaxation process by connecting opposite sides of the Fermi surface. A detailed calculation is carried out for the longitudinal magnetoresistance of aluminium with the field along a cube axis, and it is found that except in very strong fields the observed behaviour is well accounted for by the nearly-free. electron model and a constant relaxation time.


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