2013
DOI: 10.1103/physrevb.87.115148
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Ab initiostrategy for muon site assignment in wide band gap fluorides

Abstract: We report on an ab initio strategy based on Density Functional Theory to identify the muon sites. Two issues must be carefully addressed, muon delocalization about candidate interstitial sites and local structural relaxation of the atomic positions due to µ + -sample interaction. Here, we report on the validation of our strategy on two wide band gap materials, LiF and YF3, where localization issues are important because of the interplay between muon localization and lattice relaxation.

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Cited by 64 publications
(82 citation statements)
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“…From the solution of the Schrodinger equation we obtain a ground state energy E 0 = 0.6 eV (independently of the interpolation method and the boundary conditions used). The probability density of the ground state wave function (not shown) is well localized and, by considering the concept of turning point volume, 6 the same conclusion can be drawn from Figure 2a, where even the isosurface for V μ = 0.8 eV is found to be confined inside the points cloud acquired during the simulation.…”
Section: Articlesupporting
confidence: 73%
“…From the solution of the Schrodinger equation we obtain a ground state energy E 0 = 0.6 eV (independently of the interpolation method and the boundary conditions used). The probability density of the ground state wave function (not shown) is well localized and, by considering the concept of turning point volume, 6 the same conclusion can be drawn from Figure 2a, where even the isosurface for V μ = 0.8 eV is found to be confined inside the points cloud acquired during the simulation.…”
Section: Articlesupporting
confidence: 73%
“…In contrast to a proton, this is not a trivial task for a μ + because it is a light particle and cannot be treated as a clamped point charge within the Born–Oppenheimer (BO) paradigm. Various ‐ quantum chemical procedures have been developed specially for muonic molecules to deduce their structures . Probably, the most theoretically (but not computationally) straightforward procedure is treating μ + s like electron as a quantum wave from the outset of the non‐adiabatic quantum chemical calculations by introducing its kinetic energy operator directly into the time‐independent Schrödinger equation .…”
Section: Resultsmentioning
confidence: 99%
“…wide-gap semiconductors, insulating systems or cuprate and iron-based high-T c superconductors. [20][21][22][23][24][25] There are four equivalent minima in the unit cell corresponding to the 4c [(x, 1/4, z), x µ = 0.103, z µ = 0.921] Wyckoff position (see the Supplementary part). The calculations were started from the known FM and Hel−c magnetic structures at ambient pressure (see Refs.…”
Section: 7mentioning
confidence: 99%