Energy Bands and Fermi Surface of OrderedβBrass

1969 ◽  
Vol 186 (3) ◽  
pp. 609-618 ◽  
Author(s):  
F. J. Arlinghaus
Keyword(s):  
1977 ◽  
Vol 7 (7) ◽  
pp. 1229-1244 ◽  
Author(s):  
A Hasegawa ◽  
A Yanase

1968 ◽  
Vol 173 (3) ◽  
pp. 685-688 ◽  
Author(s):  
G. S. Fleming ◽  
T. L. Loucks
Keyword(s):  

Measurements are presented, at selected temperatures between 305 and 77 °K, of the twelve coefficients that define the low-field magnetoresistivity tensor of arsenic. A two-carrier multivalley ellipsoidal model of the energy bands is invoked to determine carrier densities and mobilities and tilt angles of the Fermi ellipsoids. In agreement with recent theoretical calculations and measurements of the de Haas–van Alphen effect, the electrons are sited in pockets tilted at +82° to the trigonal axis and holes in pockets tilted at +40°. Equal carrier densities are essentially temperature independent, ranging from 1.9 x 10 20 cm -3 at 77 °K to 2.1 x 10 20 cm -3 at 305 °K. Carrier mobility temperature dependences are close to T -1.7 , considerably greater than the expected T -1.0 , probably owing to intervalley scattering. Experimental techniques and a new method of computation are described.


1974 ◽  
Vol 9 (12) ◽  
pp. 5071-5076 ◽  
Author(s):  
Francis Arlinghaus
Keyword(s):  

1974 ◽  
Vol 14 (10) ◽  
pp. 1003-1006 ◽  
Author(s):  
S.H. Liu ◽  
W.B. England ◽  
H.W. Myron

2005 ◽  
Vol 19 (06) ◽  
pp. 929-970 ◽  
Author(s):  
M. E. PALISTRANT

The review of works about the study of the thermodynamic properties of the superconductors with energy bands overlapping on Fermi surface is done. The base of the review is Moscalenco's model1 with the formation of cooper pairs of electrons inside each energy band and their transition as a whole entity from one band to another. The model was generalized in order to consider the interband pairings of electrons in addition to the pairings that have been taken into account in Ref. 1. The main system of equations in this theory of superconductivity is derived for the two-band systems at arbitrary density of charge carriers (including the very low densities). The detailed studies of dependences of the temperature of superconducting transition TC, the jump of heat capacity (CS-CN), as well as the chemical potential μ on the density of charge carriers are made. Singularities in the behavior of the two-band superconductors at low densities of charge carriers (μ~TC) are revealed. There has been studies on the influence of the additional pairings of electrons that result in the formation of the cooper pairs of electrons from different energy bands on the thermodynamic properties of the system. Both phonon and non-phonon mechanisms of superconductivity in the BCS scenario of the formation of superconducting pairs (μ>0) have been taken into account. The theory of superconductivity in the mean-field approximation at T = 0 in the picture of Bose condensation of localized pairs (Schaffroth's scenario μ<0) is built. The technique of functional integration with regard to the two-band system is developed and the crossover from Fermi to Bose picture of elementary excitations at T≠0 with the two-particle bound state in the system has been shown. The temperature of Bose condensation TK is determined and the influence of the overlapping of energy bands on Fermi surface onto Bose condensation of localized pairs is studied.


1998 ◽  
Vol 545 ◽  
Author(s):  
J. O. Sofo ◽  
G. D. Mahan

AbstractWe report calculations which show that the band structure of CoSb3 is typical of a narrow band-gap semiconductor. The gap is strongly dependent on the relative position of the Sb atoms inside the unit cell. We obtain a band gap of 0.22 eV after minimization of these position. This value is more than four times larger than the result of a previous calculation which reported that the energy bands near the Fermi surface are unusual. The electronic states close to the Fermi level are properly described by a two-band Kane Model. The calculated effective masses and band gap are in excellent agreement with Shubnikov de Haas and Hall effect measurements. Recent measurements of the transport coefficients of this compound can be understood assuming it is a narrow band gap semiconductor, in agreement with our results.


1972 ◽  
Vol 50 (14) ◽  
pp. 1659-1675 ◽  
Author(s):  
J. C. Jones ◽  
W. R. Datars

Semi-empirical local and nonlocal pseudopotentials have been used to calculate the energy bands and Fermi surface of crystalline mercury. The nonlocal pseudopotentials were an approximation in which the repulsive potentials of the outer core states were explicitly represented by nonlocal projection operators. A search in parameter space revealed three separate regions in which the Fermi surface generated by the pseudopotential was a good fit to experimental magneto-acoustic calipers and extremal sectional areas. One of the regions investigated was equivalent to the Animalu–Heine pseudopotential for mercury and a second was very similar to the Evans pseudopotential which has been used for liquid mercury. Although there were strong resemblances in the band structures generated by the different classes of pseudopotential, the symmetry characteristics of the bands were different. The nonlocal operators had a strong influence on the Fermi energy with p-like and d-like operators causing an increase in the Fermi energy. The influence of spin–orbit coupling and more general questions of pseudopotential theory and band symmetry were also considered.


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