Erratum: Fermi surface, effective masses, and Dingle temperatures of ZrTe5as derived from the Shubnikov-de Haas effect

1986 ◽  
Vol 33 (12) ◽  
pp. 8791-8791
Author(s):  
G. N. Kamm ◽  
D. J. Gillespie ◽  
A. C. Ehrlich ◽  
T. J. Wieting ◽  
F. Levy
Keyword(s):  
Fermi Surface ◽  
Effective Masses ◽  
Haas Effect

Fermi surface, effective masses, and Dingle temperatures ofZrTe5as derived from the Shubnikov–de Haas effect

1985 ◽  
Vol 31 (12) ◽  
pp. 7617-7623 ◽  
Author(s):  
G. N. Kamm ◽  
D. J. Gillespie ◽  
A. C. Ehrlich ◽  
T. J. Wieting ◽  
F. Levy
Keyword(s):  
Fermi Surface ◽  
Effective Masses ◽  
Haas Effect

Fermi surface, effective masses, and energy bands of HfTe_{5} as derived from the Shubnikov–de Haas effect

1987 ◽  
Vol 35 (3) ◽  
pp. 1223-1229 ◽  
Author(s):  
G. Kamm ◽  
D. Gillespie ◽  
A. Ehrlich ◽  
D. Peebles ◽  
F. Levy
Keyword(s):  
Fermi Surface ◽  
Energy Bands ◽  
Effective Masses ◽  
Haas Effect

Absence of magnetic field dependence of the cyclotron effective masses of electrons on the Fermi surface of Pd

1984 ◽  
Vol 30 (10) ◽  
pp. 5637-5645 ◽  
Author(s):  
W. Joss ◽  
L. N. Hall ◽  
G. W. Crabtree ◽  
J. J. Vuillemin
Keyword(s):  
Magnetic Field ◽  
Fermi Surface ◽  
Field Dependence ◽  
Magnetic Field Dependence ◽  
Effective Masses

Fermi surface and effective masses for the heavy-electron superconductors UPt3

1988 ◽  
Vol 68 (2) ◽  
pp. 245-249 ◽  
Author(s):  
M.R. Norman ◽  
R.C. Albers ◽  
A.M. Boring ◽  
N.E. Christensen
Keyword(s):  
Fermi Surface ◽  
Effective Masses ◽  
Heavy Electron ◽  
Electron Superconductors

Effective masses in Sn‐doped Ga1−xAlxAs (x<0.33) determined by the Shubnikov–de Haas effect

1985 ◽  
Vol 58 (9) ◽  
pp. 3481-3484 ◽  
Author(s):  
B. El Jani ◽  
P. Gibart ◽  
J. C. Portal ◽  
R. L. Aulombard
Keyword(s):  
Effective Masses ◽  
Haas Effect

The Shubnikov – de Haas effect in dilute lead-in-bismuth alloys

1968 ◽  
Vol 46 (21) ◽  
pp. 2413-2423 ◽  
Author(s):  
On-Ting Woo ◽  
R. J. Balcombe
Keyword(s):  
Band Structure ◽  
Fermi Surface ◽  
Carrier Concentration ◽  
Fermi Energy ◽  
Dilute Alloys ◽  
Haas Effect ◽  
Effect Of Alloying

The differential Shubnikov – de Haas effect has been studied in samples of bismuth containing up to 50 parts per million of lead. The results indicate that the only effect of alloying on the band structure of bismuth is to shift the Fermi energy; the sizes of the various pieces of the Fermi surface are changed, but their shapes are not distorted. The ratio of the change in net carrier concentration to the concentration of lead atoms is found to be only 0.4, which is anomalously low, compared with values of about 1.0 found for dilute alloys of other metals in bismuth.

Hydrostatic pressure and uniaxial stress derivatives of the Fermi surface of rhenium

1983 ◽  
Vol 61 (10) ◽  
pp. 1428-1433 ◽  
Author(s):  
J. R. Anderson ◽  
F. W. Holroyd ◽  
J. M. Perz ◽  
J. E. Schirber ◽  
I. M. Templeton
Keyword(s):  
Transition Temperature ◽  
Hydrostatic Pressure ◽  
Fermi Surface ◽  
Cross Sections ◽  
Solid Helium ◽  
Uniaxial Stress ◽  
Superconducting Transition ◽  
Cross Sectional ◽  
Effective Masses ◽  
Derivatives Of

Derivatives with respect to hydrostatic pressure of extremal cross-sectional areas normal to [Formula: see text] of all closed sheets of the Fermi surface of rhenium have been determined by both fluid–helium and solid–helium phase shift techniques. Precise values of de Haas–van Alphen frequencies and effective masses have also been measured for these cross sections. In addition, uniaxial stress derivatives of the zone seven cross sections have been deduced from quantum oseillations in magnetostriction and torque. Previously observed anomalies in the pressure dependence of the superconducting transition temperature are interpreted in terms of the present results.

The de Haas-van Alphen effect

1952 ◽  
Vol 245 (891) ◽  
pp. 1-57 ◽  
Keyword(s):  
Fermi Surface ◽  
Brillouin Zone ◽  
Wave Number ◽  
Theoretical Interpretation ◽  
Damping Factor ◽  
Electron Mass ◽  
Field Variation ◽  
Collision Time ◽  
Free Electrons ◽  
Effective Masses

The magnetic anisotropy of single crystals of various metals has been studied experimentally particularly at liquid-helium temperatures, and an oscillatory variation with field (de Haas-van Alphen effect) has been discovered in gallium, tin, graphite, antimony, aluminium, cadmium, indium, mercury and thallium. Previously the effect has been found only in bismuth and zinc, and recently it has been found by Verkin, Lazarev & Rudenko also in magnesium and beryllium. After a brief statement of Landau’s theory of the effect and some recent modifications by Dingle, the experimental technique is described and the results for the individual metals are presented. The effect has been studied most thoroughly for gallium, tin, graphite and antimony, and it has been possible to explain the results in considerable detail on the basis of the theory, though some features such as the modulations of the oscillations cannot be fully explained; the theoretical interpretation of the results for the other metals is less complete, mainly because of experimental difficulties specific to each metal which hindered a complete investigation. Comparison with the theory shows that the effect can be explained if it is assumed that only a very small number of free electrons (ranging from 10 -6 to 10 -3 per atom) are effective and that these electrons have effective masses which are small (usually of order of one-tenth of an electron mass) and depend on the direction of the applied magnetic field. The period, amplitude and temperature-dependence of the oscillations vary considerably from one metal to another, depending on the particular values of these parameters. These ‘effective’ electrons are presumably those which overflow at certain places in wave-number space from one Brillouin zone into another, or the ‘holes’ left behind in nearly full zones, and their small effective masses are associated with large curvature of the Fermi surface in these regions. The theory assumes that the relevant parts of the Fermi surface can be represented by ellipsoids, and for some of the metals the form of these ellipsoids can be worked out in detail on the basis of the experimental results. The fact that the de Haas-van Alphen effect has not been found in monovalent metals such as copper, silver and gold up to fields of 15800 G, supports this interpretation, since the Fermi surface in these metals does not cross Brillouin zone boundaries. Although the oscillatory variation of anisotropy was the main object of the investigation, some new data on the steady part of the anisotropy were also obtained, and where a detailed comparison with theory was possible it was found that the free electrons effective in producing the oscillations could account only partly for the observed steady anisotropy. An important feature of the comparison with theory is that in order to explain both the temperature and field variation of the amplitude of the oscillations consistently it is necessary to add to Landau’s formula an exponential ‘ damping factor ’ involving a parameter x which has the dimensions of temperature and is usually of order 1°K. The effect of this ‘damping’ is equivalent to that of raising the temperature by x º K. Dingle has shown that just such a factor is to be expected if broadening of the energy levels due either to collisions or other causes is taken into account. Experiments on the de Haas-van Alphen effect in a series of alloys of tin with mercury and indium support Dingle’s interpretation in showing that the parameter x varies approximately linearly with the reciprocal of the collision time (i.e. with the residual resistance), and the slope of the linear relation gives a reasonable value of the collision time. It is clear, however, that collision broadening alone cannot account for the experimental values of x for pure metals, and other causes of level broadening, such as the effect of the electric field of the crystal lattice, must be invoked.

A study of magnetothermal and Shubnikov – de Haas oscillations in arsenic

1968 ◽  
Vol 46 (17) ◽  
pp. 1935-1943 ◽  
Author(s):  
J. Vanderkooy ◽  
W. R. Datars
Keyword(s):  
Fermi Surface ◽  
Sample Material ◽  
Effect Factors ◽  
Long Period ◽  
Period Oscillation ◽  
Shubnikov De Haas Oscillations ◽  
Haas Effect

Magnetothermal and Shubnikov – de Haas oscillations were observed in arsenic. The periods of the oscillations are in agreement with those from recent de Haas – van Alphen experiments that support the Lin–Falicov model of the arsenic Fermi surface. The ratio of oscillatory and non-oscillatory resistivities is of the magnitude predicted by Adams–Holstein theory. It is shown that, for the same sample material, the Dingle temperature of the Shubnikov – de Haas effect is larger than the corresponding temperature of the de Haas – van Alphen effect. The long-period oscillation is not observed in the Shubnikov – de Haas effect. Factors that could attenuate the long-period oscillation are considered. Variations in temperature in the magnetothermal effect are compared to calculated values determined from the amplitude of the de Haas – van Alphen torque oscillations.

The Fermi surface in niobium

1970 ◽  
Vol 320 (1540) ◽  
pp. 115-130 ◽  
Keyword(s):  
Band Structure ◽  
Fermi Surface ◽  
Low Frequency ◽  
Band Structure Calculation ◽  
Wave Band ◽  
Many Body ◽  
Effective Masses ◽  
A Value ◽  
Computer Based ◽  
Field Modulation

The low-frequency field modulation technique has been employed to study the de Haas-van Alphen effect in single crystals of niobium in fields up to 10 tesla. The frequency determination of the oscillations was performed by computer-based Fourier analysis and gave five sets of frequencies, which were studied in {100} and {110} planes. Effective masses and Dingle temperatures of some orbits were measured in the symmetry directions <100>, <110> and <111>. Interpretation of the results has been based on the results of a recent augmented plane wave band structure calculation of Mattheiss (1970). Three of the observed frequency branches can be explained in terms of, and are in good agreement with, the Fermi surface predicted by this calculation. The remaining frequencies can be accounted for, if a slight distortion of the proposed model is made. Comparison of the measured effective masses with those calculated from the band structure gives a value of 2·14 ± 0·17 for the mass enhancement factor due to many body effects. Using the theory of McMillan (1968) we evaluate the superconducting isotope shift coefficient to be 0·24.

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