Abstract
Angle-resolved photoelectron spectroscopy (ARPES) is commonly applied to map the shape of Fermi surfaces. Here we quantify the errors of simple criteria for extracting Fermi vectors by ARPES that are induced by strongly varying matrix elements. Sophisticated methods for determining the three-dimensional Fermi vector based on temperature and photon energy dependent photoemission are discussed with reference to data of the quasi-two-dimensional system $1T\ensuremath{-}{\mathrm{TiTe}}_{2}.$
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