Two contributions to the theory of annihilation of positrons in metals. I. Determination of the true Fermi surface

Majumdar, Chanchal. K. (1965) Two contributions to the theory of annihilation of positrons in metals. I. Determination of the true Fermi surface Physical Review, 140 (1A). A227-A236. ISSN 0031-899X

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Official URL: http://prola.aps.org/abstract/PR/v140/i1A/pA227_1

Related URL: http://dx.doi.org/10.1103/PhysRev.140.A227

Abstract

The theory of positron annihilation in metals, including electron-positron and electron-electron interaction, is discussed. It is well known that the Coulomb force of the positron causes very major changes in the motion of the electrons. Nevertheless, it is established that a sharp "break" in the angular-correlation curve of the two γ rays resulting from the singlet-state annihilation occurs at precisely those angles where it should be expected in the absence of electron-positron interaction. The break is an image of the discontinuity in the momentum distribution present in "normal" metals. Positron annihilation in metals is therefore a useful tool for the investigation of the true Fermi surface. It is also demonstrated that the slope of the angular-correlation curve at the Fermi momentum is related to the Gaussian curvature of the Fermi surface.

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