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Monte Carlo simulation using the Wang-Landau algorithm has been performed in an one-dimensional Lebwohl-Lasher model. Both one-dimensional and two-dimensional random walks have been carried out. The results are compared with the exact…

Statistical Mechanics · Physics 2009-11-13 Kisor Mukhopadhyay , Nababrata Ghoshal , Soumen Kumar Roy

Energy variation of the density of states (DOS) has been calculated in the superconductor/ferromagnet/ferromagnet/superconductor structure (SFFS) in the frame of Gorkov equations taking into account the s-d electron scattering in the…

Other Condensed Matter · Physics 2016-08-31 D. Gusakova , A. Vedyayev , O. Kotel'nikova

Density of states (DOS) and absorption spectrum of weakly doped, narrow quantum wells in high magnetic fields are calculated by realistic exact diagonalization. The systems containing an electron--hole pair with and without an additional,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Anna Gladysiewicz , Leszek Bryja , Arkadiusz Wojs , Marek Potemski

We derive a powerful yet simple method for analyzing the local density of states in gapless one dimensional fermionic systems, including extensions such as momentum dependent interaction parameters and hard-wall boundaries. We study the…

Strongly Correlated Electrons · Physics 2010-01-19 Imke Schneider , Sebastian Eggert

Determining the ground state properties of the two-dimensional Hubbard model has remained an outstanding problem. Applying recent advances in constrained path auxiliary-field quantum Monte Carlo techniques and simulating large rectangular…

Strongly Correlated Electrons · Physics 2010-03-22 Chia-Chen Chang , Shiwei Zhang

A Monte Carlo method to estimate the Joint Density of States g(E,M) of the Ising and Ising-like models is presented. The method is applied to the well-known 2D Ising model, and is shown to be accurate, efficient, and embarrassingly…

Statistical Mechanics · Physics 2022-03-08 J. C. Inácio , A. L. Ferreira , J. S. Amaral

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

We investigate the density of states (DOS) in an antiferromagnetic spin-system on a square lattice described by the Blume-Capel (BC) model. We use a new and very efficient simulation method, proposed by Wang and Landau, in which we estimate…

Other Condensed Matter · Physics 2009-11-13 G. Pawlowski

We present a method for estimating the density of states of a classical statistical model. The algorithm successfully combines the Wang-Landau flat histogram method with the N-fold way in order to improve efficiency of the original single…

Statistical Mechanics · Physics 2009-11-07 B. J. Schulz , K. Binder , M. Mueller

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 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 report a new multicanonical Monte Carlo algorithm to obtain the density of states for physical systems with continuous state variables in statistical mechanics. Our algorithm is able to obtain a closed-form expression for the density of…

Computational Physics · Physics 2018-11-20 Alfred C. K. Farris , Ying Wai Li , Markus Eisenbach

Wang and Landau proposed recently, a simple and flexible non-Boltzmann Monte Carlo method for estimating the density of states, from which the macroscopic properties of a closed system can be calculated. They demonstrated their algorithm by…

Statistical Mechanics · Physics 2009-11-11 D. Jayasri , V. S. S. Sastry , K. P. N. Murthy

Paying attention to the difference of density of states, \Delta ln g(E) = ln g(E+\Delta E) - ln g(E), we study the convergence of the Wang-Landau method. We show that this quantity is a good estimator to discuss the errors of convergence,…

Statistical Mechanics · Physics 2012-01-10 Yukihiro Komura , Yutaka Okabe

We develop a general framework to calculate the many-body density of states (DOS) of isolated and interacting quantum systems. Based on the generalized coherent state formalism and the Simon-Lieb bounds for a quantum partition function, our…

Strongly Correlated Electrons · Physics 2026-04-17 Deniz Coskun , R. Chitra

We present a Monte Carlo method that efficiently computes the density of states for spin models having any number of interaction per spin. By combining a random-walk in the energy space with collective updates controlled by the…

Statistical Mechanics · Physics 2009-11-11 Sylvain Reynal , Hung-The Diep

We investigate the behavior of the deviation of the estimator for the density of states (DOS) with respect to the exact solution in the course of Wang-Landau and Stochastic Approximation Monte Carlo (SAMC) simulations of the two-dimensional…

Statistical Mechanics · Physics 2017-03-08 Simon Schneider , Marco Mueller , Wolfhard Janke

A real space diagrammatic method, which is an extension of the Berezinskii technique to problems with periodic boundary condition, is formulated to study the density of states (DOS) \rho(\epsilon,\phi) and its moments for a one-channel…

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

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

It is shown in this work how the Wang-Landau algorithm can be parallelized through the concept of the micromagnetic ensemble, when the Hamiltonian contains both spin interaction and the external field terms, and thus energy-magnetization…

Statistical Mechanics · Physics 2013-02-12 Borko Stosic