On investigation of the structure of energy bands using quasielastic knock‐out of an electron by an electron (e, 2e)

“…2,6 Namely, we should replace the quantity 6(w -£*) 6£* entering into equations for the Sommerfeld model of a degenerate electron gas 2,6 by the general electron spectral-weight function yl(k, a;). 11 We obtain…”

Section: Institute Of Nuclear Physics Moscow State University Moscomentioning

confidence: 99%

Manifestations of Collective Properties of the Degenerate Electron Gas in the (e,2e) Quasielastic Knockout Process

Neudatchin

Zhivopistsev

1974

Phys. Rev. Lett.

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It is shown that quasielastic knockout (e t 2e) of electron by a fast electron from a thin solid film presents direct information about both the k and oo dependence of the singleparticle, spectral-weight function A(k,), (p,pd),etc.] is a powerful tool for nuclear-structure research. 1 Several years ago the {e, 2e) quasielastic knockout process was proposed by Smirnov and one of the authors 2 for the investigation of electron wave functions in atoms, molecules, and thin solid films. Its advantage in comparison with the methods of positron annihilation and Compton scattering profiles 3 consists in the possibility of obtaining the momentum distribution of the target electron for the fixed value of its binding energy side by side with the fixed orientation of its quasimomentum in a monocrystal. The disadvantage of the {e, 2e) method is that it cannot be used for the investigation of thick solid (d > 250 A) or liquid targets.Subsequent papers have exhibited both various theoretical aspects of the problem mentioned 4 ** 6 (in particular the manifestation of the band structure of solids 2 * 5 * 6 ) and the first experimental results for solid 7 and gas 8 targets (with the best energy resolution at present 8 A£ ^1-2 eV). Rather rapid further experimental progress is to be expected.The first problem considered in the present paper concerns the Mahan-Nozikres edges 9 and their plasmon satellites. 10 The main difference between the (e, 2e) process and x-ray absorption considered earlier 9,10 is that the final electron is not near the Fermi surface but is ejected into the high-energy (a few keV) continuum described by plane waves. Thus only the polarization of the degenerate electron gas by the suddenly appearing deep hole is present as a collective effect (high-energy x-ray photoemission would be, of course, similar in this respect). In terms of Ref. 9 we obtain information about singularities of the deep-electron spectral-weight function Z(w) itself.For describing this effect we should generalize the formulas of our previous papers. 2,6 Namely, we should replace the quantity 6(w -£*) 6£* entering into equations for the Sommerfeld model of a degenerate electron gas 2,6 by the general electron spectral-weight function yl(k, a;). 11 We obtain d 5 a 2ink 2 (do dSl^figaE l dE 2 du> {2-nhf \aQ l A'F6(£ 0 -Ey -E 2 -(jo)A(k, OC)as the (e,2e) cross section for a unit crystal volume containing A electrons (V is the volume of the 995

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Nuclear methods for the determination of electron momentum densities in solids

Singru¹

1975

Phys. Stat. Sol. (a)

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On investigation of the structure of energy bands using quasielastic knock‐out of an electron by an electron (e, 2e)

Abstract: The question of obtaining information on the band structure of solids using quasielastic knock-out of an electron by an electron from a very thin crystalline film is discussed. It has been found that Van Hove singularities practically have no effect on the quasielastic knock-

Cited by 34 publications

References 11 publications

Electron momentum spectroscopy of atoms, molecules, and thin films

Electron momentum spectroscopy of atoms, molecules, and thin films

Manifestations of Collective Properties of the Degenerate Electron Gas in the (e,2e) Quasielastic Knockout Process

Nuclear methods for the determination of electron momentum densities in solids

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