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Related papers: A Correction Method for the Density of States

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We calculate the exact density of states (DOS) for the three classical and two non-classical Random Matrix Ensembles for finite matrix size N using supersymmetric integrals. The 1/N-Expansion yields already in lowest order good…

Disordered Systems and Neural Networks · Physics 2009-11-07 Frieder Kalisch , Daniel Braak

The electronic density of states (DOS) highlights fundamental properties of materials that oftentimes dictate their properties, such as the band gap and Van Hove singularities. In this short note, we discuss how sharp features of the…

Materials Science · Physics 2021-03-08 M. Y. Toriyama , A. M. Ganose , M. Dylla , S. Anand , J. Park , M. K. Brod , J. Munro , K. A. Persson , A. Jain , G. J. Snyder

We present a correction method for the pair density (PD) to get close to the ground state one. The PD is corrected to be a variationally-best PD within the search region that is extended by adding the uniformly-scaled PDs to its elements.…

Strongly Correlated Electrons · Physics 2011-05-04 Masahiko Higuchi , Katsuhiko Higuchi

We study the density of states (DOS) for disordered systems whose spectral statistics can be described by a Gaussian ensemble of almost diagonal Hermitian random matrices. The matrices have independent random entries $ H_{i \geq j} $ with…

Disordered Systems and Neural Networks · Physics 2016-08-31 Oleg Yevtushenko , Vladimir E. Kravtsov

We present a comparative study of numerical methods for computingelectronic densities of states (DOS) in periodic systems. We provide a detailed analysis of the domain of validity of the Brillouincomplex deformation (BCD), a…

Numerical Analysis · Mathematics 2026-04-01 Ewen Lallinec , Antoine Levitt

The present article is concerned with the use of approximations in the calculation of the many-body density of states (MBDS) of a system with total energy E, composed by N bosons. In the mean-field framework, an integral expression for…

Statistical Mechanics · Physics 2014-11-17 Alexandre Dias Ribeiro

In this work we develop and implement a novel Bayesian method for computing the DOS of a system. This method is based on the use of a test function with adjustable parameters and we use Bayes theorem to find the best parameters given a…

Statistical Mechanics · Physics 2021-12-28 Felipe Moreno , Sergio Davis , Joaquín Peralta

By considering the quantum-mechanically minimum allowable energy interval, we exactly count number of states (NOS) and introduce discrete density of states (DOS) concept for a particle in a box for various dimensions. Expressions for…

Statistical Mechanics · Physics 2016-02-24 Alhun Aydin , Altug Sisman

The density of states (DOS) is a spectral property of materials, which provides fundamental insights on various characteristics of materials. In this paper, we propose a model to predict the DOS by reflecting the nature of DOS: DOS…

Machine Learning · Computer Science 2023-04-11 Namkyeong Lee , Heewoong Noh , Sungwon Kim , Dongmin Hyun , Gyoung S. Na , Chanyoung Park

The density of states (DOS) is a spectral property of crystalline materials, which provides fundamental insights into various characteristics of the materials. While previous works mainly focus on obtaining high-quality representations of…

Materials Science · Physics 2023-11-27 Namkyeong Lee , Heewoong Noh , Sungwon Kim , Dongmin Hyun , Gyoung S. Na , Chanyoung Park

We report an efficient quantum algorithm for estimating the local density of states (LDOS) on a quantum computer. The LDOS describes the redistribution of energy levels of a quantum system under the influence of a perturbation. Sometimes…

Quantum Physics · Physics 2009-11-10 Joseph Emerson , Seth Lloyd , David Poulin , David Cory

It is shown that the algorithm introduced in [1] and conceived to deal with continuous degrees of freedom models is well suited to compute the density of states in models with a discrete energy spectrum too. The q=10 D=2 Potts model is…

Statistical Mechanics · Physics 2012-09-21 M. Guagnelli

Electronic density of states (DOS) is a key factor in condensed matter physics and material science that determines the properties of metals. First-principles density-functional theory (DFT) calculations have typically been used to obtain…

Materials Science · Physics 2019-04-12 Byung Chul Yeo , Donghun Kim , Chansoo Kim , Sang Soo Han

We evaluate the density of states (DOS) associated with tridiagonal symmetric Hamiltonian matrices and study the effect of perturbation on one of its entries. Analysis is carried out by studying the resulting three-term recursion relation…

Materials Science · Physics 2011-11-09 H. Bahlouli , A. D. Alhaidari , M. S. Abdelmonem

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. C. Flores , M. Hilke

In this paper, we introduce a new interpolation scheme to approximate the density of states (DOS) for a class of rank-structured matrices with application to the Tamm-Dancoff approximation (TDA) of the Bethe-Salpeter equation (BSE). The…

Numerical Analysis · Mathematics 2019-02-20 Peter Benner , Venera Khoromskaia , Boris N. Khoromskij , Chao Yang

Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble- averaged density of states without exact…

Disordered Systems and Neural Networks · Physics 2012-11-07 Jiahao Chen , Eric Hontz , Jeremy Moix , Matthew Welborn , Troy Van Voorhis , Alberto Suárez , Ramis Movassagh , Alan Edelman

We calculate the phonon density of states (DOS) for strongly amorphous materials with a short-ranged interatomic potential. Exponentially decaying and abruptly truncated interatomic potentials are examined. Thermally excited mean square…

Materials Science · Physics 2015-03-13 D. J. Priour

A diagrammatic method is applied to study the effects of commensurability in two-dimensional disordered crystalline metals by using the particle-hole symmetry with respect to the nesting vector P_0={\pm{\pi}/a, {\pi}/a} for a half-filled…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. P. Nakhmedov , M. Kumru , R. Oppermann

We presented an efficient algorithm, fast adaptive flat-histogram ensemble (FAFE), to estimate the density of states (DOS) and to enhance sampling in large systems. FAFE calculates the means of an arbitrary extensive variable $U$ in…

Statistical Mechanics · Physics 2008-11-13 Xin Zhou , Yi Jiang
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