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We prove uniqueness in the class of integrable and bounded nonnegative solutions in the energy sense to the Keller-Segel (KS) chemotaxis system. Our proof works for the fully parabolic KS model, it includes the classical parabolic-elliptic…

偏微分方程分析 · 数学 2012-12-07 J. A. Carrillo , S. Lisini , E. Mainini

We develop an iterative diagonalization scheme in solving a one-body self-consistent-field equation in the transcorrelated (TC) method using a plane-wave basis set. Non-Hermiticity in the TC method is well handled with a block-Davidson…

材料科学 · 物理学 2016-03-15 Masayuki Ochi , Yoshiyuki Yamamoto , Ryotaro Arita , Shinji Tsuneyuki

For molecules and solids, we developed efficient MPI-parallel algorithms for evaluating the second-order exchange term with bare, statically screened, and dynamically screened interactions. We employ the resulting term in a fully…

强关联电子 · 物理学 2024-12-30 Pavel Pokhilko , Chia-Nan Yeh , Miguel A. Morales , Dominika Zgid

Hedin's $GW$ approximation to the electronic self-energy has been impressively successful to calculate quasiparticle energies, such as ionization potentials, electron affinities, or electronic band structures. The success of this fairly…

化学物理 · 物理学 2024-10-31 Arno Förster , Fabien Bruneval

Kohn-Sham regularizer (KSR) is a differentiable machine learning approach to finding the exchange-correlation functional in Kohn-Sham density functional theory (DFT) that works for strongly correlated systems. Here we test KSR for weak…

化学物理 · 物理学 2022-03-22 Bhupalee Kalita , Ryan Pederson , Jielun Chen , Li Li , Kieron Burke

Following Hollins et al. [J. Phys.: Condens. Matter 29, 04LT01 (2017)], we invert the electronic ground state densities for various semiconducting and insulating solids calculated using several density functional approximations within the…

化学物理 · 物理学 2025-11-05 Visagan Ravindran , Nikitas I. Gidopoulos , Stewart J. Clark

In a recent Letter, Baer et al. present a stochastic method for Kohn-Sham density functional theory calculations. Their convergence criterion is the self-averaging total energy per electron, which requires a number of statistical samples…

材料科学 · 物理学 2014-04-15 Jonathan E. Moussa , Andrew D. Baczewski

In this chapter, we provide a review of ground-state Kohn-Sham density-functional theory of electronic systems and some of its extensions, we present exact expressions and constraints for the exchange and correlation density functionals,…

化学物理 · 物理学 2022-09-12 Julien Toulouse

Mechanistic understanding and rational design of complex chemical systems depend on fast and accurate predictions of electronic structures beyond individual building blocks. However, if the system exceeds hundreds of atoms, first-principles…

The band gaps, longitudinal and transverse effective masses, and deformation potentials of ScN in the rock-salt structure have been calculated employing G0W0-quasiparticle calculations using exact-exchange Kohn-Sham density functional…

材料科学 · 物理学 2007-05-23 Abdallah Qteish , Patrick Rinke , Matthias Scheffler , Joerg Neugebauer

Using an end-to-end differentiable implementation of the Kohn-Sham self-consistent field equations, we obtain an accurate neural network-based exchange and correlation (XC) functional of the electronic density. The functional is optimized…

化学物理 · 物理学 2021-06-09 Sebastian Dick , Marivi Fernandez-Serra

Accurate wave-function descriptions of pristine and defected solids remain challenging due to the simultaneous presence of finite-size, basis-set, and correlation errors. While embedding techniques alleviate finite-size effects and…

Standard spin-density functionals for the exchange-correlation energy of a many-electron ground state make serious self-interaction errors which can be corrected by the Perdew-Zunger self-interaction correction (SIC). We propose a…

材料科学 · 物理学 2014-01-28 Mark R Pederson , Adrienn Ruzsinszky , John P. Perdew

We propose an autonomous quantum error correction scheme using squeezed cat (SC) code against the dominant error source, excitation loss, in continuous-variable systems. Through reservoir engineering, we show that a structured dissipation…

量子物理 · 物理学 2022-10-25 Qian Xu , Guo Zheng , Yu-Xin Wang , Peter Zoller , Aashish A. Clerk , Liang Jiang

Methods of bound-state QED that treat the self-energy contributions to the Lamb shift within the partial-wave expansion usually face the problem of slow convergence of the latter. Inspired by an approach formulated in [J. Sapirstein and K.…

原子物理 · 物理学 2024-04-09 A. V. Malyshev , E. A. Prokhorchuk , V. M. Shabaev

We develop a microscopic theory of single-electron transport in N-S-N hybrid structures in the presence of applied magnetic field introducing vortex lines in a superconductor layer. We show that vortex cores in a thick and clean…

超导电性 · 物理学 2009-11-10 N. B. Kopnin , A. S. Mel'nikov , V. M. Vinokur

We propose a systematic method of analyzing pseudopotential transferability based on linear-response properties of the free atom, including self-consistent chemical hardness and polarizability. Our calculation of hardness extends the…

mtrl-th · 物理学 2009-10-28 A. Filippetti , David Vanderbilt , W. Zhong , Yong Cai , G. B. Bachelet

We find that for simple metal clusters a single-electron description of the ground state employing self-interaction correction (SIC) in the framework of local-density approximation strongly contaminates the high energy photoionization cross…

原子与分子团簇 · 物理学 2009-11-07 M. E. Madjet , Himadri S. Chakraborty , Jan-M. Rost

We study the quantum corrections to the polarizability of isolated metallic mesoscopic systems using the loop-expansion in diffusive propagators. We show that the difference between connected (grand-canonical ensemble) and isolated…

介观与纳米尺度物理 · 物理学 2013-07-29 M. Treiber , P. M. Ostrovsky , O. M. Yevtushenko , J. von Delft , I. V. Lerner

Belief propagation (BP) provides a scalable heuristic for contracting tensor networks on loopy graphs, but its success in quantum many-body settings has largely rested on empirical evidence. Developing upon a recently introduced…

量子物理 · 物理学 2026-04-06 Siddhant Midha , Grace M. Sommers , Joseph Tindall , Dmitry A. Abanin