Electron-Ion Interaction and the Fermi Surfaces of the Alkali Metals

Lee, Martin J. G.

doi:10.1103/physrev.178.953

Cited by 105 publications

(11 citation statements)

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“…On converting these to muffin tin data by the procedure of Meyer and Young (1969) we obtained phase shifts of 0.03, 0.01 and 0.00. The latter correspond to the curve marked V in figure 3 (assuming no serious errors are introduced by the spherical averaging involved in obtaining equation (8)) and, each being almost zero, describe an almost spherical Fermi surface (Lee 1969). Fermi surfaces in agreement with the results of Lee (1969).…”

Section: Predict Almost Sphericalsupporting

confidence: 55%

“…The latter correspond to the curve marked V in figure 3 (assuming no serious errors are introduced by the spherical averaging involved in obtaining equation (8)) and, each being almost zero, describe an almost spherical Fermi surface (Lee 1969). Fermi surfaces in agreement with the results of Lee (1969). For AI, Faulkner (1969) has shown that the Mattheiss-Slater potential is satisfactory yet the Mattheiss-Kohn-Sham (based on the exchange description of Kohn and Sham 1965) and the Heine-Segall potentials are not.…”

Section: Predict Almost Sphericalmentioning

confidence: 86%

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Two Theorems on Identities in Multioperator Algebras

Kizner¹

1969

Russ. Math. Surv.

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Illinois 601 15. USC M S . received 14th M a y 1970Ahtract. Starting from bare-ion pseudopotentials, net crystal potentials are evalutiied in direct space by (a) the usual linear screening technique and (b) the Thomas-Fermi method. For the metals considered (Na and AI), the potentials are quite similar, crossing outside the cores and never differing by more than 0.02 a.u. in the case of Na nor by more than 0.2 a.u. in the case of Al. The similarity of the results based on (a) and (b) suggest the use of the pseudopotential concept in conjunction with the rather general method (b) under conditions when (a) is questionable, that is whenever the zeroth order uniform electron gas solution is a poor physical approximation to the actual system under study (specific examples being molecules, insulating solids and interfaces).Methods (a) and (bj both yield shallower wells than those most often used as input information in band structure calculations and obtained by superposing atomic data.

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Section: Predict Almost Sphericalsupporting

confidence: 55%

Section: Predict Almost Sphericalmentioning

confidence: 86%

Two Theorems on Identities in Multioperator Algebras

Kizner¹

1969

Russ. Math. Surv.

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“…25 For this reason we describe only in outline the method of calculation; for a more detailed discussion the reader is referred to the earlier paper.…”

Section: Methods Of Calculationmentioning

confidence: 99%

Phase-Shift Analysis of the Fermi Surface of Copper

Lee

1969

Phys. Rev.

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“…2,3 The matter has been qualitatively described by Ziman. 4 ' 5 The overlapping pseudopotentials, each rigidly moored to its ion, give rise to reduced, nonoverlapping muffin tins together with a natural lowering of the zero of energy by an amount e mtz (see Sec.…”

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confidence: 99%