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The degeneracy of two-phase disordered microstructures consistent with a specified correlation function is analyzed by mapping it to a ground-state degeneracy. We determine for the first time the associated density of states via a Monte…

统计力学 · 物理学 2012-05-16 Cedric Gommes , Yang Jiao , Salvatore Torquato

It has been shown numerically that systems of particles interacting with "stealthy" bounded, long-ranged pair potentials (similar to Friedel oscillations) have classical ground states that are, counterintuitively, disordered, hyperuniform…

统计力学 · 物理学 2015-06-03 S. Torquato , G. Zhang , F. H. Stillinger

We study a family of frustrated anti-ferromagnetic spin-$S$ systems with a fully dimerized ground state. This state can be exactly obtained without the need to include any additional three-body interaction in the model. The simplest members…

强关联电子 · 物理学 2015-09-09 C. A. Lamas , J. M. Matera

Classical ground states (global energy-minimizing configurations) of many-particle systems are typically unique crystalline structures, implying zero enumeration entropy of distinct patterns (aside from trivial symmetry operations). By…

统计力学 · 物理学 2017-10-23 G. Zhang , F. H. Stillinger , S. Torquato

We calculate thermodynamic properties of a disordered model insulator, starting from the ideal simple-cubic lattice ($g = 0$) and increasing the disorder parameter $g$ to $\gg 1/2$. As in the earlier Einstein- and Debye- approximations, the…

统计力学 · 物理学 2016-08-31 J. M. Yanez , M. I. Molina , D. C. Mattis

We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the…

软凝聚态物质 · 物理学 2007-05-23 P. Buonsante , P. Kevrekidis , V. Penna , A. Vezzani

Ground-state properties of the Blume-Emery-Griffiths model with antiferromagnetic nearest-neighbor interactions on a triangular lattice are investigated in the presence of an external magnetic field. In particular, we explore the model's…

统计力学 · 物理学 2012-12-24 M. Žukovič

Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found…

无序系统与神经网络 · 物理学 2009-10-31 V. T. Petaja , M. J. Alava , H. Rieger

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random and external field strength. Thermal states and thermodynamic properties are obtained for all…

统计力学 · 物理学 2009-11-11 Yong Wu , Jon Machta

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

无序系统与神经网络 · 物理学 2009-10-30 Goutam Tripathy , Mustansir Barma

We study the ground state of the attractive one-dimensional Bose-Hubbard model, and in particular the nature of the crossover between the weak interaction and strong interaction regimes for finite system sizes. Indicator properties like the…

统计力学 · 物理学 2013-05-29 Norman Oelkers , Jon Links

The problem of measuring nontrivial static correlations in deeply supercooled liquids made recently some progress thanks to the introduction of amorphous boundary conditions, in which a set of free particles is subject to the effect of a…

无序系统与神经网络 · 物理学 2015-06-11 G. Gradenigo , R. Trozzo , A. Cavagna , T. S. Grigera , P. Verrocchio

Standard variational methods tend to obtain upper bounds on the ground state energy of quantum many-body systems. Here we study a complementary method that determines lower bounds on the ground state energy in a systematic fashion, scales…

量子物理 · 物理学 2015-05-28 Tillmann Baumgratz , Martin B. Plenio

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

软凝聚态物质 · 物理学 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of the…

强关联电子 · 物理学 2016-01-27 Bo-Xiao Zheng , Garnet Kin-Lic Chan

The ground state of interacting particles on a disordered one-dimensional host-lattice is studied by a direct numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the host-lattice…

无序系统与神经网络 · 物理学 2014-01-03 L. A. Pastur , V. V. Slavin , A. A. Krivchikov

The disordered Bose-Hubbard model in two dimensions at non-integer filling admits a superfluid to Bose-glass transition at weak disorder. Less understood are the properties of this system at strong disorder and energy densities…

量子气体 · 物理学 2021-04-30 Andreas Geißler

The XY model with quenched random disorder is studied by a zero temperature domain wall renormalization group method in 2D and 3D. Instead of the usual phase representation we use the charge (vortex) representation to compute the domain…

统计力学 · 物理学 2009-11-07 N. Akino , J. M. Kosterlitz

We have studied the ground state of the two-dimensional (2D) Hubbard model by using a quantum monte method paying special attention to the shell structure effect on finite size clusters. Our calculations show there is a gap for spin…

强关联电子 · 物理学 2007-05-23 Yoshihiro ASAI

We study the phase stability of the Edwards-Anderson spin-glass model by analyzing the domain-wall energy. For the bimodal distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions:…

无序系统与神经网络 · 物理学 2015-06-25 F. Roma , S. Risau-Gusman , A. J. Ramirez-Pastor , F. Nieto , E. E. Vogel