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In this paper, we investigate the ground state of two-dimensional disordered cylinders which contain spinless, interacting electrons using the Hartree-Fock approximation. Calculations of the deviation of the polarization from uniformity…

凝聚态物理 · 物理学 2007-05-23 A. Kambili , H. Fehrmann , C. J. Lambert , J. H. Jefferson

We investigate the computational hardness of spin-glass instances on a square lattice, generated via a recently introduced tunable and scalable approach for planting solutions. The method relies on partitioning the problem graph into…

无序系统与神经网络 · 物理学 2020-03-02 Dilina Perera , Firas Hamze , Jack Raymond , Martin Weigel , Helmut G. Katzgraber

Probability distributions of the magnetic work are computed for the 2D Ising model by means of Monte Carlo simulations. The system is first prepared at equilibrium for three temperatures below, at and above the critical point. A magnetic…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Dragi Karevski

Our research highlights the effectiveness of utilizing matrices akin to Wishart matrices, derived from magnetization time series data under specific dynamics, to elucidate phase transitions and critical phenomena in the Q-state Potts model.…

统计力学 · 物理学 2024-04-12 Roberto da Silva , Eliseu Venites , Sandra D. Prado , J. R. Drugowich de Felicio

Scrambling in interacting quantum systems out of equilibrium is particularly effective in the chaotic regime. Under time evolution, initially localized information is said to be scrambled as it spreads throughout the entire system. This…

强关联电子 · 物理学 2018-09-26 Adolfo del Campo , Javier Molina Vilaplana , Lea F. Santos , Julian Sonner

We present a large-scale simulation of the three-dimensional Ising spin glass with Gaussian disorder to low temperatures and large sizes using optimized population annealing Monte Carlo. Our primary focus is investigating the number of pure…

无序系统与神经网络 · 物理学 2021-01-20 Wenlong Wang , Mats Wallin , Jack Lidmar

Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick…

无序系统与神经网络 · 物理学 2011-10-21 A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes

The use of combinatorial optimization algorithms has contributed substantially to the major progress that has occurred in recent years in the understanding of the physics of disordered systems, such as the random-field Ising model. While…

无序系统与神经网络 · 物理学 2023-02-22 Manoj Kumar , Martin Weigel

The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a {\bf fixed}…

数值分析 · 数学 2007-05-23 Tony Lelievre , Mohamed El Makrini , Benjamin Jourdain

We use Monte Carlo simulations to evaluate the feasibility of detecting thermal order by disorder in real antiferromagnetic Ising pyrochlores, frustrated by a magnetic field applied in the $[110]$ direction. Building on an ideal system with…

统计力学 · 物理学 2019-11-11 Pamela C. Guruciaga , Rodolfo A. Borzi

A new model of localized highly frustrated ferromagnetism is presented: kagome spin ice. By use of analytical and Monte Carlo calculations its massive groundstate entropy is evaluated. Monte Carlo calculations are also used to explore the…

材料科学 · 物理学 2007-05-23 A. S. Wills , R. Ballou , C. Lacroix

We formally extend the energy landscape approach for the thermodynamics of liquids to account for saddle points. By considering the extensive nature of macroscopic potential energies, we derive the scaling behavior of saddles with system…

软凝聚态物质 · 物理学 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

The electronic properties of disordered systems have been the subject of intense study for several decades. Thermoelectric properties, such as thermopower and thermal conductivity, have been relatively neglected. A long standing problem is…

无序系统与神经网络 · 物理学 2007-05-23 R. A. Roemer , A. MacKinnon , C. Villagonzalo

Microscopic processes giving the energy gain and loss of a two-dimensional electron system in long-range potential fluctuations are studied theoretically at the breakdown of the quantum Hall effect in the case of even-integer filling…

介观与纳米尺度物理 · 物理学 2009-10-31 Hiroshi Akera

Recently, it has been conjectured that the statistics of extremes is of relevance for a large class of correlated system. For certain probability densities this predicts the characteristic large $x$ fall-off behavior $f(x)\sim\exp (-a…

统计力学 · 物理学 2009-11-07 Bernd A. Berg , Alain Billoire , Wolfhard Janke

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

凝聚态物理 · 物理学 2009-10-28 M. E. J. Newman , G. T. Barkema

We address the computation of ground-state properties of chemical systems and realistic materials within the auxiliary-field quantum Monte Carlo method. The phase constraint to control the fermion phase problem requires the random walks in…

强关联电子 · 物理学 2017-11-28 Mario Motta , Shiwei Zhang

Generalized Ising models, also known as cluster expansions, are an important tool in many areas of condensed-matter physics and materials science, as they are often used in the study of lattice thermodynamics, solid-solid phase transitions,…

统计力学 · 物理学 2016-06-27 Wenxuan Huang , Daniil Kitchaev , Stephen Dacek , Ziqin Rong , Zhiwei Ding , Gerbrand Ceder

Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered systems. Here we compare these methods using direct calculations…

无序系统与神经网络 · 物理学 2007-05-23 J. J. Moreno , H. G. Katzgraber , Alexander K. Hartmann

We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our approach is based on a generalization of the cavity method to a…

无序系统与神经网络 · 物理学 2007-05-23 A. Pagnani , G. Parisi , M. Ratieville
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