Accurate localized resolution of identity approach for linear-scaling hybrid density functionals and for many-body perturbation theory
نویسندگان
چکیده
منابع مشابه
Density functionals from many-body perturbation theory: the band gap for semiconductors and insulators.
Theoretically the Kohn-Sham band gap differs from the exact quasiparticle energy gap by the derivative discontinuity of the exchange-correlation functional. In practice for semiconductors and insulators the band gap calculated within any local or semilocal density approximations underestimates severely the experimental energy gap. On the other hand, calculations with an "exact" exchange potenti...
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We show that the existence of algebraic forms of exactly-solvable A−B− C−D and G2, F4 Olshanetsky-Perelomov Hamiltonians allow to develop the algebraic perturbation theory, where corrections are computed by pure algebraic means. A classification of perturbations leading to such a perturbation theory based on representation theory of Lie algebras is given. In particular, this scheme admits an ex...
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The development of standard MBPT for single-reference and multi-reference cases is reviewed, and its extension to the relativistic case in the form of the Dirac-Coulomb-Breit (DCB) approximation is described. The latter scheme is non-covariant, and the recent development of a fully covariant MBPT scheme is discussed. This is based upon a new scheme for quantumelectrodynamical (QED) calculations...
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The second quantized form of Rayleigh-Schrodinger perturbation theory is symbolically manipulated to derive many-body perturbation theory (MBPT) formulas for particle-hole excited states of closed shell atoms. The analytic results obtained from the symbolic code, written in Mathematica, will be presented for the lowest orders of MBPT. These results compare exactly with the results obtained by h...
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c 2006 by John von Neumann Institute for Computing Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires prior specific permission by the publisher mentio...
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ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2015
ISSN: 1367-2630
DOI: 10.1088/1367-2630/17/9/093020