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      \textit{In-situ} pseudopotentials for electronic structure theory

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          Abstract

          We present a general method of constructing \textit{in-situ} pseodopotentials from first principles, all-electron, full-potential electronic structure calculations of a solid. The method is applied to bcc Na, at equilibrium volume. The essential steps of the method involve (i) calculating an all-electron Kohn-Sham eigenstate. (ii) Replacing the oscillating part of the wavefunction (inside the muffin-tin spheres) of this state, with a smooth function. (iii) Representing the smooth wavefunction in a Fourier series, and (iv) inverting the Kohn-Sham equation, to extract the pseudopotential that produces the state generated in steps (i)-(iii). It is shown that an \textit{in-situ} pseudopotential can reproduce an all-electron, full-potential eigenvalue up to the sixth significant digit. A comparison of the all-electron theory, \textit{in-situ} pseudopotential theory and the standard nonlocal pseudopotential theory demonstrates good agreement, e.g., in the energy dispersion of the 3\(s\) band state of bcc Na.

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          Author and article information

          Journal
          09 February 2021
          Article
          2102.04719
          49674fe3-a75e-41e5-9f3e-55457cf2d288

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          13 pages, 3 figures
          cond-mat.mtrl-sci cond-mat.other

          Condensed matter
          Condensed matter

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