dorsal/arxiv
View SchemaSignature of Fermi surface jumps in positron spectroscopy data
| Authors | Gh. Adam, S. Adam |
|---|---|
| Categories | |
| ArXiv ID | physics/9908011 |
| URL | https://arxiv.org/abs/physics/9908011 |
| DOI | 10.1016/S0010-4655(99)00220-9 |
| Journal | Computer Physics Communications, vol. 120 (Aug.1999) no. 2-3, 215-221 |
Abstract
A subtractionless method for solving Fermi surface sheets ({\tt FSS}), from measured $n$-axis-projected momentum distribution histograms by two-dimensional angular correlation of the positron-electron annihilation radiation ({\tt 2D-ACAR}) technique, is discussed. The window least squares statistical noise smoothing filter described in Adam {\sl et al.}, NIM A, {\bf 337} (1993) 188, is first refined such that the window free radial parameters ({\tt WRP}) are optimally adapted to the data. In an ideal single crystal, the specific jumps induced in the {\tt WRP} distribution by the existing Fermi surface jumps yield straightforward information on the resolved {\tt FSS}. In a real crystal, the smearing of the derived {\tt WRP} optimal values, which originates from positron annihilations with electrons at crystal imperfections, is ruled out by median smoothing of the obtained distribution, over symmetry defined stars of bins. The analysis of a gigacount {\tt 2D-ACAR} spectrum, measured on the archetypal high-$T_c$ compound $YBa\sb{2}Cu\sb{3}O\sb{7-\delta}$ at room temperature, illustrates the method. Both electronic {\tt FSS}, the ridge along $\Gamma X$ direction and the pillbox centered at the $S$ point of the first Brillouin zone, are resolved.
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"abstract": "A subtractionless method for solving Fermi surface sheets ({\\tt FSS}), from\nmeasured $n$-axis-projected momentum distribution histograms by two-dimensional\nangular correlation of the positron-electron annihilation radiation ({\\tt\n2D-ACAR}) technique, is discussed. The window least squares statistical noise\nsmoothing filter described in Adam {\\sl et al.}, NIM A, {\\bf 337} (1993) 188,\nis first refined such that the window free radial parameters ({\\tt WRP}) are\noptimally adapted to the data. In an ideal single crystal, the specific jumps\ninduced in the {\\tt WRP} distribution by the existing Fermi surface jumps yield\nstraightforward information on the resolved {\\tt FSS}. In a real crystal, the\nsmearing of the derived {\\tt WRP} optimal values, which originates from\npositron annihilations with electrons at crystal imperfections, is ruled out by\nmedian smoothing of the obtained distribution, over symmetry defined stars of\nbins. The analysis of a gigacount {\\tt 2D-ACAR} spectrum, measured on the\narchetypal high-$T_c$ compound $YBa\\sb{2}Cu\\sb{3}O\\sb{7-\\delta}$ at room\ntemperature, illustrates the method. Both electronic {\\tt FSS}, the ridge along\n$\\Gamma X$ direction and the pillbox centered at the $S$ point of the first\nBrillouin zone, are resolved.",
"arxiv_id": "physics/9908011",
"authors": [
"Gh. Adam",
"S. Adam"
],
"categories": [
"physics.data-an",
"physics.comp-ph"
],
"doi": "10.1016/S0010-4655(99)00220-9",
"journal_ref": "Computer Physics Communications, vol. 120 (Aug.1999) no. 2-3,\n 215-221",
"title": "Signature of Fermi surface jumps in positron spectroscopy data",
"url": "https://arxiv.org/abs/physics/9908011"
},
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