Polyethylene glycol coating on zinc powder surface: Applications in dendrite-free zinc anodes with enhanced utilization rate

X Huyan, Z Yi, Z Sang, S Tan, J Liu, R Chen, W Si… - Applied Surface …, 2023 - Elsevier
Zinc powder (Zn-P) anode is a more practical choice in industrial production compared with
zinc foil, benefiting from its high exposed surface area and potential utilization rate for …

Screening in the finite-temperature reduced Hartree–Fock model

A Levitt - Archive for Rational Mechanics and Analysis, 2020 - Springer
We prove the existence of solutions of the reduced Hartree–Fock equations at finite
temperature for a periodic crystal with a small defect, and show the total screening of the …

Point defects in tight binding models for insulators

C Ortner, J Thomas - Mathematical Models and Methods in Applied …, 2020 - World Scientific
We consider atomistic geometry relaxation in the context of linear tight binding models for
point defects. A limiting model as Fermi-temperature is sent to zero is formulated, and an …

Ab initio framework for systems with helical symmetry: theory, numerical implementation and applications to torsional deformations in nanostructures

AS Banerjee - Journal of the Mechanics and Physics of Solids, 2021 - Elsevier
We formulate and implement Helical Density Functional Theory (Helical DFT)—a self-
consistent first principles simulation method for nanostructures with helical symmetries. Such …

Second-order homogenization of periodic Schrödinger operators with highly oscillating potentials

É Cancès, L Garrigue, D Gontier - SIAM Journal on Mathematical Analysis, 2023 - SIAM
We consider a family of-periodic Schrödinger operators with rapidly oscillating potentials on,
where is a Bravais lattice of, the two-scale potential is-periodic with zero mean with respect …

Numerical methods for Kohn–Sham models: Discretization, algorithms, and error analysis

E Cancès, A Levitt, Y Maday, C Yang - Density Functional Theory …, 2022 - Springer
Numerical Methods for Kohn–Sham Models: Discretization, Algorithms, and Error Analysis |
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Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory

X Xing, X Li, L Lin - Mathematics of Computation, 2024 - ams.org
Despite decades of practice, finite-size errors in many widely used electronic structure
theories for periodic systems remain poorly understood. For periodic systems using a …

Efficient extraction of resonant states in systems with defects

I Duchemin, L Genovese, E Letournel, A Levitt… - Journal of …, 2023 - Elsevier
We introduce a new numerical method to compute resonances induced by localized defects
in crystals. This method solves an integral equation in the defect region to compute analytic …

Finite-size effects in response functions of molecular systems

MS Dupuy, A Levitt - The SMAI Journal of computational mathematics, 2022 - numdam.org
We consider an electron in a localized potential submitted to a weak external, time-
dependent field. In the linear response regime, the response function can be computed …

A method of calculating bandstructure in real-space with application to all-electron and full potential

D Li, J Kestyn, E Polizzi - Computer Physics Communications, 2024 - Elsevier
We introduce a practical and efficient approach for calculating the all-electron full potential
bandstructure in real space, employing a finite element basis. As an alternative to the k …