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Spatially localized one-electron orbitals, orthogonal and nonorthogonal, are widely used in electronic structure theory to describe chemical bonding and speed up calculations. In order to avoid linear dependencies of localized orbitals, the…

Chemical Physics · Physics 2020-03-04 Ziling Luo , Rustam Z. Khaliullin

We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse…

We show that an optimized projection functions method can automatically construct maximally localized Wannier functions even for bands with nontrivial topology. We demonstrate this method on a tight-binding model of a two-dimensional…

Materials Science · Physics 2016-10-05 Jamal I. Mustafa , Sinisa Coh , Marvin L. Cohen , Steven G. Louie

Optical properties of components in a linac can be reconstructed from analysis of the orbit response matrix, composed from responses of BPMs to changes in currents of dipole correctors. An efficient way to record such response, discussed in…

Accelerator Physics · Physics 2021-09-27 Alexander Shemyakin

Methods for calculating an electron density of a periodic crystal constructed using non-orthogonal localised orbitals are discussed. We demonstrate that an existing method based on the matrix expansion of the inverse of the overlap matrix…

Computational Physics · Physics 2009-11-10 Lev Kantorovich , Oleh Danyliv

The structure of the electronic nonlinear optical conductivity is elucidated in a detailed study of the time-reversal symmetric two-band model. The nonlinear conductivity is decomposed as a sum of contributions related with different…

Other Condensed Matter · Physics 2021-09-22 D. J. Passos , G. B. Ventura , J. M. B. Lopes dos Santos , J. M. Viana Parente Lopes

We present a new method to calculate optical properties of strongly correlated systems. It is based on dynamical mean field theory and it uses as an input realistic electronic structure obtained by local density functional calculations.…

Strongly Correlated Electrons · Physics 2007-05-23 V. S. Oudovenko , G. Palsson , K. Haule , S. Y. Savrasov , G. Kotliar

Metaoptics are thin, planar surfaces consisting of many subwavelength optical resonators that can be designed to simultaneously control the amplitude, phase, and polarization to arbitrarily shape an optical wavefront much in the same manner…

In the framework of General Relativity we develop a method for analysis of the operation of the optical position meters in their photodetectors proper reference frames. These frames are non-inertial in general due to the action of external…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Sergey P. Tarabrin , Alexander A. Seleznyov

Over the last two decades, following the early developments on maximally localized Wannier functions, an ecosystem of electronic-structure simulation techniques and software packages leveraging the Wannier representation has flourished.…

Linear and nonlinear optical effect has been widely discussed in large quantity of materials using theoretical or experimental methods. Except linear optical conductivity, higher-order nonlinear responses are not studied fully. Starting…

Materials Science · Physics 2025-08-12 Maoyuan Wang , Jianhui Zhou , Yugui Yao

Localized bases play an important role in understanding electronic structure. In periodic insulators, a natural choice of localized basis is given by the Wannier functions which depend a choice of unitary transform known as a gauge…

Mathematical Physics · Physics 2021-02-24 Kevin D. Stubbs , Alexander B. Watson , Jianfeng Lu

An ab initio Hartree-Fock approach aimed at directly obtaining the localized orthogonal orbitals (Wannier functions) of a crystalline insulator is described in detail. The method is used to perform all-electron calculations on the ground…

Condensed Matter · Physics 2009-10-30 Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

We propose and demonstrate theoretically a method to achieve and design optical nonlinear responses through a light-mediated spatial hybridization of different standard nonlinearities. The mechanism is based on the fact that optical…

Optics · Physics 2008-04-24 Alessandro Ciattoni , Eugenio Del Re , Carlo Rizza , Andrea Marini

We describe a strategy for solving nonlinear eigenproblems numerically. Our approach is based on the approximation of a vector-valued function, defined as solution of a non-homogeneous version of the eigenproblem. This approximation step is…

Numerical Analysis · Mathematics 2023-12-06 Davide Pradovera

In this paper, we suggest two ways of calculating interpolation models for unconstrained smooth nonlinear optimization when Hessian-vector products are available. The main idea is to interpolate the objective function using a quadratic on a…

Numerical Analysis · Mathematics 2019-12-24 Lili Song , Luis Nunes Vicente

We present a computational scheme to study spin excitations in magnetic materials from first principles. The central quantity is the transverse spin susceptibility, from which the complete excitation spectrum, including single-particle…

Materials Science · Physics 2010-03-04 Ersoy Sasioglu , Arno Schindlmayr , Christoph Friedrich , Frank Freimuth , Stefan Blügel

We present a theoretical study of the optical response of a nonlinear oscillator formed by coupling a metal nanoparticle local surface plasmon resonance to excitonic degrees of freedom in a monolayer transition-metal dichalcogenide. We show…

Mesoscale and Nanoscale Physics · Physics 2019-06-13 Daniel B. S. Soh , Ryotatsu Yanagimoto , Eric Chatterjee , Hideo Mabuchi

Matrix elements between nonorthogonal Slater determinants represent an essential component of many emerging electronic structure methods. However, evaluating nonorthogonal matrix elements is conceptually and computationally harder then…

Chemical Physics · Physics 2024-06-19 Hugh G. A. Burton

In this work we present a derivation of the real-time time-dependent orbital-optimized M{\o}ller-Plesser TDOMP2 and its biorthogonal companion, time-dependent non-orthogonal OMP2 (TDNOMP2), theory starting from the time-dependent…