Efficient real space formalism for hybrid density functionals

التفاصيل البيبلوغرافية
العنوان: Efficient real space formalism for hybrid density functionals
المؤلفون: Jing, Xin, Suryanarayana, Phanish
سنة النشر: 2024
المجموعة: Condensed Matter
Physics (Other)
مصطلحات موضوعية: Physics - Computational Physics, Condensed Matter - Materials Science, Physics - Chemical Physics
الوصف: We present an efficient real space formalism for hybrid exchange-correlation functionals in generalized Kohn-Sham density functional theory (DFT). In particular, we develop an efficient representation for any function of the real space finite-difference Laplacian matrix by leveraging its Kronecker product structure, thereby enabling the time to solution of associated linear systems to be highly competitive with the fast Fourier transform scheme, while not imposing any restrictions on the boundary conditions. We implement this formalism for both the unscreened and range-separated variants of hybrid functionals. We verify its accuracy and efficiency through comparisons with established planewave codes for isolated as well as bulk systems. In particular, we demonstrate up to an order-of-magnitude speedup in time to solution for the real space method. We also apply the framework to study the structure of liquid water using ab initio molecular dynamics, where we find good agreement with literature. Overall, the current formalism provides an avenue for efficient real space DFT calculations with hybrid density functionals.
Comment: 9 pages, 4 figures
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2406.16998Test
رقم الانضمام: edsarx.2406.16998
قاعدة البيانات: arXiv