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We construct a low-energy effective action for a two-dimensional non-relativistic topological (i.e.\ gapped) phase of matter in a continuum, which completely describes all of its bulk electrical, thermal, and stress-related properties in…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Barry Bradlyn , N. Read

Using computer simulations, we validate a simple free energy model that can be analytically solved to predict the equilibrium size of self-limiting clusters of particles in the fluid state governed by a combination of short-range attractive…

Soft Condensed Matter · Physics 2016-08-25 Jonathan A. Bollinger , Thomas M. Truskett

Thermodynamics of clusterized matter is studied in the framework of statistical models with non-interacting cluster degrees of freedom. At variance with the analytical Fisher model, exact Metropolis simulation results indicate that the…

Nuclear Theory · Physics 2009-09-01 Ad. R. Raduta , F. Gulminelli

An efficient scheme is introduced for a fast and smooth convergence to the thermodynamic limit with finite size cluster calculations. This is obtained by modifying the energy levels of the non interacting Hamiltonian in a way consistent…

Strongly Correlated Electrons · Physics 2015-05-12 Sandro Sorella

The grain boundary (GB) energy has a profound influence on the grain growth and properties of polycrystalline metals. Here, we show that the energy of a GB, normalized by the bulk cohesive energy, can be described purely by four geometric…

Materials Science · Physics 2022-01-31 Weike Ye , Hui Zheng , Chi Chen , Shyue Ping Ong

Using a reverse-engineering method we construct a meta-generalized gradient approximation (meta-GGA) angle-averaged exchange-correlation hole model which has a general applicability. It satisfies known exact hole constraints and can exactly…

Chemical Physics · Physics 2013-09-17 L. A. Constantin , E. Fabiano , F. Della Sala

For systems that self assemble into finite-sized objects, it is sometimes convenient to compute the thermodynamics for a small system where a single assembly can form. However, we show that in the canonical ensemble the use of small systems…

Soft Condensed Matter · Physics 2010-02-24 Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

An empirical potential with fluctuating charges is proposed for modelling (MgO)_n clusters in both the molecular (small n) and bulk (n->infty) regimes. Vectorial polarization forces are explicitely taken into account in the self-consistent…

Materials Science · Physics 2009-11-10 F. Calvo

An expansion of energy characteristics of wide thin slab of thickness L in power of 1/L is constructed using the free-electron approximation and the model of a potential well of finite depth. Accuracy of results in each order of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. V. Pogosov , V. P. Kurbatsky , E. V. Vasyutin

Atomic scale simulations at finite temperature are an ideal approach to study the thermodynamic properties of magnetic transition metals. However, the development of interatomic potentials explicitly taking into account magnetic variables…

Tight-binding molecular dynamics (TBMD) is used to study the structural and electronic properties of silver clusters. The ground state structures of Ag clusters up to 21 atoms are optimized via TBMD combined with genetic algorithm (GA). The…

Atomic and Molecular Clusters · Physics 2007-05-23 Jijun Zhao

We compare Kohn-Sham results (density, cohesive energy, size and effect of charging) of the Spherical Averaged Pseudopotential Model with the Stabilized Jellium Model for clusters of sodium and aluminum with less than 20 atoms. We find that…

Condensed Matter · Physics 2009-10-30 Armando Vieira , M. Begona Torres , Carlos Fiolhais , L. Carlos Balbas

We consider a Landau-de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime - i.e., the size of the…

Analysis of PDEs · Mathematics 2019-01-14 Giacomo Canevari , Arghir Zarnescu

We report a study of structural and electronic properties of a germanium layer on Al(111) using scanning tunneling microscopy (STM), low energy electron diffraction and core-level photoelectron spectroscopy. Experimental results show that a…

Materials Science · Physics 2017-12-08 W. Wang , R. I. G. Uhrberg

Gold clusters Aun of size n = 2 to 12 atoms were studied by the density-functional theory with an ab-initio pseudopotential and a generalized gradient approximation. Geometry optimizations starting from a number of initial candidate…

Other Condensed Matter · Physics 2007-05-23 Prashant K. Jain

A self-consistent thermodynamic model of metallic system is presented. The expression for the Gibbs energy is derived, which incorporates elastic (static) energy, vibrational energy within the Debye model, and electronic part in Hartee-Fock…

Statistical Mechanics · Physics 2014-07-25 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

In this work, we have used the exchange-only optimized effective potential in the self-consistent calculations of the density functional Kohn-Sham equations for simple metal clusters in stabilized jellium model with self-compression. The…

Atomic and Molecular Clusters · Physics 2009-11-11 M. Payami

A 1-dimensional model for coherent quantum energy transfer through a complex of compressible boxes is investigated by numerical integration of the time-dependent Schr\"odinger equation. Energy is communicated from one box to the next by the…

Chemical Physics · Physics 2015-05-12 Mark A. Peterson

The quantum transport formalism based on tight-binding models is known to be powerful in dealing with a wide range of open physical systems subject to external driving forces but is, at the same time, limited by the memory requirement's…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Ming-Hao Liu , Klaus Richter

The thermodynamical property of a small cluster including $M$ Hubbard dimers, each of which is described by the two-site Hubbard model, has been discussed within the nonextensive statistics (NES). We have calculated the temperature…

Statistical Mechanics · Physics 2009-11-11 Hideo Hasegawa