A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials
Pieper A, Hager G, Fehske H (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Abstract
We introduce PVSC-DTM (Parallel Vectorized Stencil Code for Dirac and Topological Materials), a library and code generator based on a domain-specific language tailored to implement the specific stencil-like algorithms that can describe Dirac and topological materials such as graphene and topological insulators in a matrix-free way. The generated hybrid-parallel (MPI+OpenMP) code is fully vectorized using Single Instruction Multiple Data (SIMD) extensions. It is significantly faster than matrix-based approaches on the node level and performs in accordance with the roofline model. We demonstrate the chip-level performance and distributed-memory scalability of basic building blocks such as sparse matrix-(multiple-) vector multiplication on modern multicore CPUs. As an application example, we use the PVSC-DTM scheme to (i) explore the scattering of a Dirac wave on an array of gate-defined quantum dots, to (ii) calculate a bunch of interior eigenvalues for strong topological insulators, and to (iii) discuss the photoemission spectra of a disordered Weyl semimetal.
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Germany (DE)How to cite
APA:
Pieper, A., Hager, G., & Fehske, H. (2020). A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials. International Journal of High Performance Computing Applications. https://dx.doi.org/10.1177/1094342020959423
MLA:
Pieper, Andreas, Georg Hager, and Holger Fehske. "A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials." International Journal of High Performance Computing Applications (2020).
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