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Using the \delta N formalism we consider the non-linear curvature perturbation in multi-field models of inflation with non-minimal coupling. In particular, we focus on the relation between the \delta N formalism as applied in the…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-25 Jonathan White , Masato Minamitsuji , Misao Sasaki

It is well known that the minimax rates of convergence of nonparametric density and regression function estimation of a random variable measured with error is much slower than the rate in the error free case. Surprisingly, we show that if…

Statistics Theory · Mathematics 2019-08-21 Fei Jiang , Yanyuan Ma , Raymond J. Carroll

Semi-local density functionals for the exchange-correlation energy of electrons are extensively used as it produce realistic and accurate results for finite and extended systems. The choice of techniques play crucial role in constructing…

Materials Science · Physics 2017-11-01 Subrata Jana , Prasanjit Samal

We present an approximate semiclassical (SC) framework for mixed quantized dynamics in Wigner phase space in a two-part series. In the first article, we introduced the Adiabatic Hybrid Wigner Dynamics (AHWD) method that allows for a few…

Chemical Physics · Physics 2024-09-06 Shreyas Malpathak , Nandini Ananth

We present an accurate and efficient framework for real-space Hubbard-corrected density functional theory. In particular, we obtain expressions for the energy, atomic forces, and stress tensor suitable for real-space finite-difference…

Computational Physics · Physics 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana

We introduce a model of a nonlinear double-barrier structure, to describe in a simple way the effects of electron-electron scattering while remaining analytically tractable. The model is based on a generalized effective-mass equation where…

Condensed Matter · Physics 2009-10-28 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

The structural properties of additive binary hard-sphere mixtures are addressed as a follow-up of a previous paper [S. Pieprzyk et al., Phys. Rev. E 101, 012117 (2020)]. The so-called rational-function approximation method and an approach…

We recently derived a spin-mapping approach for treating the nonadiabatic dynamics of a two-level system in a classical environment [J. Chem. Phys. 151, 044119 (2019)] based on the well-known quantum equivalence between a two-level system…

Chemical Physics · Physics 2020-03-03 Johan E. Runeson , Jeremy O. Richardson

Non-adiabatic molecular dynamics (NAMD) simulations have become an indispensable tool for investigating excited-state dynamics in solids. In this work, we propose a general framework, N$^2$AMD which employs an E(3)-equivariant deep neural…

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

Chemical Physics · Physics 2024-08-19 Kyle Bystrom , Boris Kozinsky

We present a general formulation to calculate the dynamic optical conductivity, beyond the linear response regime, of any electronic system whose quasiparticle dispersion is described by a two band model. Our phenomenological model is based…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Ashutosh Singh , Tuhina Satpati , Kirill I. Bolotin , Saikat Ghosh , Amit Agarwal

We present and test a new approximation for the exchange-correlation (xc) energy of Kohn-Sham density functional theory. It combines exact exchange with a compatible non-local correlation functional. The functional is by construction free…

Chemical Physics · Physics 2014-05-23 Tobias Schmidt , Eli Kraisler , Adi Makmal , Leeor Kronik , Stephan Kümmel

We formulate a rigorous method for calculating a nonadiabatic (frequency-dependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within…

Strongly Correlated Electrons · Physics 2014-10-13 Volodymyr Turkowski , Talat S. Rahman

Machine learning techniques have received growing attention as an alternative strategy for developing general-purpose density functional approximations, augmenting the historically successful approach of human designed functionals derived…

Chemical Physics · Physics 2022-11-23 Kanun Pokharel , James W. Furness , Yi Yao , Volker Blum , Tom J. P. Irons , Andrew M. Teale , Jianwei Sun

Dielectric-dependent hybrid (DDH) functionals were recently shown to yield accurate energy gaps and dielectric constants for a wide variety of solids, at a computational cost considerably less than that of GW calculations. The fraction of…

Materials Science · Physics 2016-06-08 Jonathan H Skone , Marco Govoni , Giulia Galli

Double hybrid density functional theory arguably sits on the seamline between wavefunction methods and DFT: it represents a special case of Rung 5 on the "Jacobs Ladder" of John P. Perdew. For large and chemically diverse benchmarks such as…

Chemical Physics · Physics 2020-10-16 Jan M. L. Martin , Golokesh Santra

Long-range corrected (LC) hybrid functionals and asymptotically corrected (AC) model potentials are two distinct density functional methods with correct asymptotic behavior. They are known to be accurate for properties that are sensitive to…

Chemical Physics · Physics 2017-09-13 Chen-Wei Tsai , Yu-Chuan Su , Guan-De Li , Jeng-Da Chai

We present an implementation of the Heyd-Scuseria-Ernzerhof (HSE) hybrid functional within the full-potential linearized augmented-plane-wave (FLAPW) method. Pivotal to the HSE functional is the screened electron-electron interaction, which…

Materials Science · Physics 2011-11-11 Martin Schlipf , Markus Betzinger , Christoph Friedrich , Marjana Ležaić , Stefan Blügel

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum effects of electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

Strongly Correlated Electrons · Physics 2025-09-10 Brittany P. Harding , Francisca Sagredo , Vincent Martinetto , Aurora Pribram-Jones

We report a first-principle theoretical study of a monolayer-thick lateral heterostructure (LH) joining two different transition metal dichalcogenides (TMDC): NbS2 and WSe2. The NbS2//WSe2 LH can be considered a prototypical example of a…