12-13 May 2022
Max Planck Institute for Evolutionary Biology
Europe/Berlin timezone

Numerical integration on an implicit surface in the Brillouin zone of chiral materials for the calculation of the circular photogalvanic effect

12 May 2022, 16:45
Lecture Hall (Max Planck Institute for Evolutionary Biology)

Lecture Hall

Max Planck Institute for Evolutionary Biology

August Thienemann Strasse 2 24306 Plön Germany
onsite Session 2


Kirill Alpin (MPI for Solid State Research)


In this talk I will present the problem of calculating the circular
photogalvanic effect in topological semimetals[1], a property for
which we would like to study the effects of symmetry breaking of. One
of the approaches explored in this ongoing project, different than in
previous studies, is to evaluate the resulting implicit surface
integrals directly. Previous studies used an artificial broadening of
the implicit surface, which converts this problem to a 3D integration.
It is solved by sampling a grid, which introduces rather high errors
of up to 2% as the grid density is pushed to numerical limits[2]. We
will discuss different possible solutions to this problem and the
subtleties of implementing a numerical implicit surface integration.
Suggestions on different unexplored approaches to the presented
problems are welcome.

[1] F. de Juan, et al. Quantized circular photogalvanic effect in Weyl
semimetals. Nature communications 8.1 (2017): 1-7.

[2] Z. Ni, et al. Giant topological longitudinal circular
photo-galvanic effect in the chiral multifold semimetal CoSi. Nature
communications 12.1 (2021): 1-8.

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