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We derive a Ewald decomposition for the Stokeslet in planar periodicity and a novel PME-type O(N log N) method for the fast evaluation of the resulting sums. The decomposition is the natural 2P counterpart to the classical 3P decomposition…

Fluid Dynamics · Physics 2011-11-09 Dag Lindbo , Anna-Karin Tornberg

We investigate higher order symplectic integration strategies within Bayesian cosmic density field reconstruction methods. In particular, we study the fourth-order discretisation of Hamiltonian equations of motion (EoM). This is achieved by…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Mónica Hernández-Sánchez , Francisco-Shu Kitaura , Metin Ata , Claudio Dalla Vecchia

The ab initio description of the spectral interior of the absorption spectrum poses both a theoretical and computational challenge for modern electronic structure theory. Due to the often spectrally dense character of this domain in the…

Computational Engineering, Finance, and Science · Computer Science 2019-03-21 Roel Van Beeumen , David B. Williams-Young , Joseph M. Kasper , Chao Yang , Esmond G. Ng , Xiaosong Li

Broadband absorption in the visible spectrum is essential in optoelectronic applications that involve power conversion such as photovoltaics and photocatalysis. Most ultrathin broadband absorbers use parasitic plasmonic structures that…

We present an efficient separable approach to the estimation and reconstruction of the bispectrum and the trispectrum from observational (or simulated) large scale structure data. This is developed from general CMB (poly-)spectra methods…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 J. R. Fergusson , D. M. Regan , E. P. S. Shellard

We present an efficient computational approach to perform real-space electronic structure calculations using an adaptive higher-order finite-element discretization of Kohn-Sham density-functional theory (DFT). To this end, we develop an…

Computational Physics · Physics 2015-06-05 Phani Motamarri , Michael R Nowak , Kenneth Leiter , Jaroslaw Knap , Vikram Gavini

In a previous letter, we computed the decay constants of heavy pseudoscalar mesons in the framework of relativistic (instantaneous) Bethe-Salpeter method (full $0^-$ Salpeter equation), in this letter, we solve the full $1^-$ Salpeter…

Mathematical Physics · Physics 2008-11-26 Guo-Li Wang

We present a new sublinear time algorithm for approximating the spectral density (eigenvalue distribution) of an $n\times n$ normalized graph adjacency or Laplacian matrix. The algorithm recovers the spectrum up to $\epsilon$ accuracy in…

Data Structures and Algorithms · Computer Science 2022-04-18 Vladimir Braverman , Aditya Krishnan , Christopher Musco

A systematic analysis of low-lying quadrupole and octupole collective states is presented, based on the microscopic energy density functional framework. By mapping the deformation constrained self-consistent axially symmetric mean-field…

Nuclear Theory · Physics 2014-02-26 K. Nomura , D. Vretenar , T. Niksic , Bing-Nan Lu

We propose a method for obtaining effective lifetimes of scattering electronic states for avoiding the artificially confinement of the wave function due to the use of incomplete basis sets in time-dependent electronic-structure calculations…

Computational Physics · Physics 2017-08-02 Emanuele Coccia , Roland Assaraf , Eleonora Luppi , Julien Toulouse

Linear scaling methods provide total energy, but no energy levels and canonical wavefuctions. From the density matrix computed through the density matrix purification methods, we propose an order-N (O(N)) method for calculating both the…

Materials Science · Physics 2007-06-27 H. J. Xiang , Jinlong Yang , J. G. Hou , Qingshi Zhu

We propose and theoretically investigate a hybrid system composed of a crystal of trapped ions coupled to a cloud of ultracold fermions. The ions form a periodic lattice and induce a band structure in the atoms. This system combines the…

Efficient fourth order symplectic integrators are proposed for numerical integration of separable Hamiltonian systems H(p,q)=T(p)+V(q). Symmetric splitting coefficients with five to nine stages are obtained by higher order decomposition of…

Quantum Physics · Physics 2015-02-10 Kristian Mads Egeris Nielsen

We describe a fast parallel iterative method for computing molecular absorption spectra within TDDFT linear response and using the LCAO method. We use a local basis of "dominant products" to parametrize the space of orbital products that…

Other Condensed Matter · Physics 2011-04-19 Peter Koval , Dietrich Foerster , Olivier Coulaud

To achieve a distributed reflectivity measurement along an optical fiber, we develop a simplified cost-effective configuration of optical correlation- (or coherence-) domain reflectometry based on a synthesized optical coherence function by…

A novel, to the best of our knowledge, ultralow-temperature luminescence thermometry strategy is proposed, based on a measurement of relative intensities of hyperfine components in the spectra of Ho$^{3+}$ ions doped into a crystal. A…

Optics · Physics 2025-11-25 Marina N. Popova , Mosab Diab , Boris Z. Malkin

We present the appearance of nearly flat band states with nonzero Chern numbers in a two-dimensional "diamond-octagon" lattice model comprising two kinds of elementary plaquette geometries, diamond and octagon, respectively. We show that…

Strongly Correlated Electrons · Physics 2018-12-17 Biplab Pal

Nb3O2(OH) has emerged as a highly attractive photocatalyst based on its chemical stability, energetic band positions, and large active lattice sites. Compared to other various photocatalytic semiconductors, it can be synthesized easily.…

Materials Science · Physics 2025-02-17 Wilayat Khan , Alishba Tariq , Jan Minar , Sawera Durrani , Abdul Raziq , Sikander Azam , Khalid Saeed

We present an ab initio derivation method for effective low-energy Hamiltonians of material with strong spin-orbit interactions. The effective Hamiltonian is described in terms of the Wannier function in the spinor form, and effective…

The numerical cost of variational methods suggests using perturbative approaches to determine the electronic structure of molecular systems. In this work, a sequential construction of effective Hamiltonians drives the definition of…

Chemical Physics · Physics 2024-08-30 Oussama Bindech , Bastien Valentin , Saad Yalouz , Vincent Robert
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