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To address ultimate precision in density-functional-theory calculations we employ the full-potential linearized augmented planewave + local-orbital (LAPW+lo) method and justify its usage as a benchmark method. LAPW+lo and two completely…

Computational Physics · Physics 2018-04-11 Andris Gulans , Anton Kozhevnikov , Claudia Draxl

Spatio-temporal clustering occupies an established role in various fields dealing with geospatial analysis, spanning from healthcare analysis to environmental science. One major challenge are applications in which cluster assignments are…

Computation · Statistics 2023-11-09 Ben Moews , Antonia Gieschen

We develop a general theory of transport-limited aggregation phenomena occurring on curved surfaces, based on stochastic iterated conformal maps and conformal projections to the complex plane. To illustrate the theory, we use stereographic…

Statistical Mechanics · Physics 2015-05-18 Jaehyuk Choi , Darren Crowdy , Martin Z. Bazant

Nuclear implementation of the density functional theory (DFT) is at present the only microscopic framework applicable to the whole nuclear landscape. The extension of DFT to superfluid systems in the spirit of the Kohn-Sham approach, the…

Nuclear Theory · Physics 2021-08-24 Shi Jin , Kenneth J. Roche , Ionel Stetcu , Ibrahim Abdurrahman , Aurel Bulgac

Examining phase stabilities and phase equilibria in strongly correlated materials asks for a next level in the many-body extensions to the local-density approximation (LDA) beyond mainly spectroscopic assessments. Here we put the…

Materials Science · Physics 2013-04-26 Daniel Grieger , Christoph Piefke , Oleg E. Peil , Frank Lechermann

To describe pseudogap regime in Bi2212 we employ novel generalized ab initio LDA+DMFT+Sigma_k hybrid scheme. This scheme is based on the strategy of one of the most powerfull computational tool for real correlated materials LDA+DMFT. Here…

Strongly Correlated Electrons · Physics 2007-09-18 E. Z. Kuchinskii , I. A. Nekrasov , Z. V. Pchelkina , M. V. Sadovskii

I introduce several simplified schemes for the approximation of the self-consistency condition of the dynamical cluster approximation. The applicability of the schemes is tested numerically using the fluctuation-exchange approximation as a…

Strongly Correlated Electrons · Physics 2012-04-25 J. P. Hague

We present a joint implementation of dynamical-mean-field theory (DMFT) with the pseudopotential plane-wave approach, via Wannier functions, for the determination of the electronic properties of strongly correlated materials. The scheme…

Strongly Correlated Electrons · Physics 2018-08-08 G. Trimarchi , I. Leonov , N. Binggeli , Dm. Korotin , V. I. Anisimov

We discuss the application of the density functional theory in the local density approximation (LDA) near a ferromagnetic quantum critical point. The LDA fails to describe the critical fluctuations in this regime. This provides a…

Strongly Correlated Electrons · Physics 2007-05-23 I. I. Mazin , D. J. Singh , A. Aguayo

The discrete-dipole approximation (DDA) is a powerful method for calculating absorption and scattering by targets that have sizes smaller than or comparable to the wavelength of the incident radiation. We present a new prescription -- the…

Astrophysics · Physics 2015-06-24 Matthew J. Collinge , B. T. Draine

We introduce a generalization (gLDA) of the traditional Local Density Approximation (LDA) within density functional theory. The gLDA uses both the one-electron Seitz radius $\rs$ and a two-electron hole curvature parameter $\eta$ at each…

Chemical Physics · Physics 2015-06-18 Pierre-François Loos , Caleb J. Ball , Peter M. W. Gill

The dynamical mean-field theory together with the non-crossing approximation is used to set up a novel scheme to study the electronic structure of strongly correlated electron systems. The non-interacting band structure is obtained from a…

Strongly Correlated Electrons · Physics 2007-05-23 M. B. Zoelfl , Th. Pruschke , J. Keller , A. I. Poteryaev , I. A. Nekrasov , V. I. Anisimov

The dynamical fluctuations in approaches such as dynamical mean-field theory (DMFT) allow for the self-consistent optimization of a local fragment, hybridized with a true correlated environment. We show that these correlated environmental…

Strongly Correlated Electrons · Physics 2018-12-19 Edoardo Fertitta , George H. Booth

We investigate diffusion-limited aggregation (DLA) in a wedge geometry. Arneodo and collaborators have suggested that the ensemble average of DLA cluster density should be close to the noise-free selected Saffman-Taylor finger. We show that…

Statistical Mechanics · Physics 2009-11-11 Leonard M. Sander , Ellak Somfai

Limited by the difficulty in acceleration synchronization, it has been a long-term challenge for on-chip dielectric laser-based accelerators (DLA) to bridge the gap between non-relativistic and relativistic regimes. Here, we propose a DLA…

Optics · Physics 2022-02-02 Lu Wang , Uwe Niedermayer , Jingui Ma , Weihao Liu , Dongfang Zhang , Liejia Qian

Practical applications of fragment embedding and closely related local correlation methods critically depend on a judicious choice of a low-level theory to define the local embedding subspace and to capture long-range electrostatic and…

Chemical Physics · Physics 2026-05-14 Ruiheng Song , Xiliang Gong , Aamy Bakry , Hong-Zhou Ye

We give a summary of recent progress in the field of electronic structure calculations for materials with strong electronic Coulomb correlations. The discussion focuses on developments beyond the by now well established combination of…

Strongly Correlated Electrons · Physics 2014-12-30 Silke Biermann

We present a formalism of distorted wave impulse approximation (DWIA) for analyzing spin observables in nucleon inelastic and charge exchange reactions leading to the continuum. It utilizes response functions calculated by the continuum…

Nuclear Theory · Physics 2009-11-06 Ken Kawahigashi , Kimiaki Nishida , Atsushi Itabashi , Munetake Ichimura

We develop, clarify and test various aspects of cluster methods dynamical mean field methods using a soluble toy model as a benchmark. We find that the Cellular Dynamical Mean Field Theory (C-DMFT) converges very rapidly and compare its…

Strongly Correlated Electrons · Physics 2009-11-07 Giulio Biroli , Gabriel Kotliar

We present an \emph{Effective Static Approximation} (ESA) to the local field correction (LFC) of the electron gas that enables highly accurate calculations of electronic properties like the dynamic structure factor $S(q,\omega)$, the static…

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