1983
DOI: 10.1007/bf01305895
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Relativistic multiple scattering theory of electrons by ferromagnets

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Cited by 149 publications
(61 citation statements)
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“…The numerical solution of the above equation with a corresponding expression for the so-called single-site t-matrix was originally given in Refs. [26,27]. A particular feature resulting from the approach they used is that, although the t-matrix has necessarily off-diagonal elements, no coupling between different ℓ values is present.…”
Section: The Computational Methodsmentioning
confidence: 99%
“…The numerical solution of the above equation with a corresponding expression for the so-called single-site t-matrix was originally given in Refs. [26,27]. A particular feature resulting from the approach they used is that, although the t-matrix has necessarily off-diagonal elements, no coupling between different ℓ values is present.…”
Section: The Computational Methodsmentioning
confidence: 99%
“…The definite form of the function V (k, p) is related to the symmetry of the Cooper pair; different symmetries correspond to the different forms of V (k, p). Since the matrix structure of (50) is same as (16), the Green's function obtained by solving (50) gives the same matrix structure. It is also clear that this can be extended to the finite-temperature Matsubara formalism.…”
Section: The Generalized Bcs Theorymentioning
confidence: 99%
“…On the other hand, in the electronic structure calculations based on the band theory, it is obvious that, in the cases of heavy elements, we have to take into account several relativistic effects for correct descriptions even qualitatively. For example, even in the case of slow electrons like ones with a kinetic energy of 100 eV ( the electron mass is about 0.511 MeV ), we need the 4-component Dirac equation for an qualitatively correct description of the system [16]. Needless to say, the targets of condensed matter theory are more or less to include the relativistic effect.…”
Section: Introductionmentioning
confidence: 99%
“…Dealing with paramagnetic solids on the basis of the Dirac equation is quite straightforward and, accordingly, a corresponding version of the original KKR method had already been developed in the 1960s by Onodera and Okazaki. 28 The necessary formalism to allow addition of spin polarization has been worked out only as recently as the beginning of the 1980s, by Feder et al 29 and Strange et al 30 Originally, the KKR method was formulated, like Slater's APW method, by making use of the muffin-tin construction for the charge and the potential. Later, the ASA, which also assumes spherical symmetry, was used as well because of its numerical convenience.…”
Section: S Pi Nmentioning
confidence: 99%