The effect of regularization on the reconstruction of ACAR data

13th International Workshop on Slow Positron Beam Techniques and Applications

Weber, J.A.^1 ; Ceeh, H.^1 ; Hugenschmidt, C.^1,2 ; Leitner, M.^1 ; Böni, P.^1

Technische Universität München, Physik Department, Lehrstuhl E21, James-Franck-Straße, D-85748 Garching, Germany^1

Technische Universität München, Forschungs-Neutronenquelle Heinz Maier-Leibnitz, Lichtenbergstraße 1, D-85748 Garching, Germany^2

关键词: Angle resolved photoemission spectroscopy;    Angular correlations;    Band structure calculation;    Full informations;    Positron-electron annihilation;    Quantum oscillations;    Two-dimensional surface;    Unoccupied state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/505/1/012047/pdf
DOI  :  10.1088/1742-6596/505/1/012047

来源: IOP

【 摘 要 】

The Fermi surface, i.e. the two-dimensional surface separating occupied and unoccupied states in k-space, is the defining property of a metal. Full information about its shape is mandatory for identifying nesting vectors or for validating band structure calculations. With the angular correlation of positron-electron annihilation radiation (ACAR) it is easy to get projections of the Fermi surface. Nevertheless it is claimed to be inexact compared to more common methods like the determination based on quantum oscillations or angle-resolved photoemission spectroscopy. In this article we will present a method for reconstructing the Fermi surface from projections with statistically correct data treatment which is able to increase accuracy by introducing different types of regularization.