Contribution to a book FZJ-2014-05048

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Spin Excitations in Solids from Many-Body Perturbation Theory

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2014
Springer Berlin Heidelberg Berlin, Heidelberg
ISBN: 978-3-642-55067-6 (print), 978-3-642-55068-3 (electronic)

First Principles Approaches to Spectroscopic Properties of Complex Materials Berlin, Heidelberg : Springer Berlin Heidelberg, Topics in Current Chemistry 347, 259 - 301 () [10.1007/128_2013_518]

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Abstract: Collective spin excitations form a fundamental class of excitations in magnetic materials. As their energy reaches down to only a few meV, they are present at all temperatures and substantially influence the properties of magnetic systems. To study the spin excitations in solids from first principles, we have developed a computational scheme based on many-body perturbation theory within the full-potential linearized augmented plane-wave (FLAPW) method. The main quantity of interest is the dynamical transverse spin susceptibility or magnetic response function, from which magnetic excitations, including single-particle spin-flip Stoner excitations and collective spin-wave modes as well as their lifetimes, can be obtained. In order to describe spin waves we include appropriate vertex corrections in the form of a multiple-scattering T matrix, which describes the coupling of electrons and holes with different spins. The electron–hole interaction incorporates the screening of the many-body system within the random-phase approximation. To reduce the numerical cost in evaluating the four-point T matrix, we exploit a transformation to maximally localized Wannier functions that takes advantage of the short spatial range of electronic correlation in the partially filled d or f orbitals of magnetic materials. The theory and the implementation are discussed in detail. In particular, we show how the magnetic response function can be evaluated for arbitrary k points. This enables the calculation of smooth dispersion curves, allowing one to study fine details in the k dependence of the spin-wave spectra. We also demonstrate how spatial and time-reversal symmetry can be exploited to accelerate substantially the computation of the four-point quantities. As an illustration, we present spin-wave spectra and dispersions for the elementary ferromagnet bcc Fe, B2-type tetragonal FeCo, and CrO2 calculated with our scheme. The results are in good agreement with available experimental data.

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Contributing Institute(s):
  1. Quanten-Theorie der Materialien (IAS-1)
  2. Quanten-Theorie der Materialien (PGI-1)
Research Program(s):
  1. 422 - Spin-based and quantum information (POF2-422) (POF2-422)

Appears in the scientific report 2014
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 Record created 2014-10-01, last modified 2021-01-29


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