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We present in detail two variants of the lattice Monte Carlo method aimed at tackling systems in external trapping potentials: a uniform-lattice approach with hard-wall boundary conditions, and a non-uniform Gauss-Hermite lattice approach.…

Quantum Gases · Physics 2016-09-20 Casey E. Berger , Joaquín E. Drut , William J. Porter

Nematic liquid crystals confined to geometrically as well as chemically patterned substrate on one end and a flat substrate with strong anchoring on the other is studied using non-Boltzmann Monte Carlo methods. We observe significant…

Soft Condensed Matter · Physics 2010-10-18 D. Jayasri , Regina Jose , K. P. N. Murthy , V. S. S. Sastry

Spin crossover molecules have recently emerged as a family of compounds potentially useful for implementing molecular spintronics devices. The calculations of the electronic properties of such molecules is a formidable theoretical challenge…

Materials Science · Physics 2015-06-04 Andrea Droghetti , Dario Alfe' , Stefano Sanvito

The triangular lattice model with nearest-neighbor attraction and third-neighbor repulsion, introduced in [J. Pekalski, A. Ciach and N. G. Almarza, arXiv:1401.0801 [cond-mat.soft]] is studied by Monte Carlo simulation. Introduction of…

Soft Condensed Matter · Physics 2015-06-18 N. G. Almarza , J. Pekalski , A. Ciach

We present a study of mono(benzene)TM and bis(benzene)TM systems, where TM={Mo,W}. We calculate the binding energies by quantum Monte Carlo (QMC) approaches and compare the results with other methods and available experiments. The orbitals…

Chemical Physics · Physics 2017-12-01 M. Chandler Bennett , Adem H. Kulahlioglu , Lubos Mitas

We have identified the ground state configurations of soft particles (interacting via inverse power potentials) confined between two hard, impenetrable walls. To this end we have used a highly reliable optimization scheme at {\it vanishing}…

Soft Condensed Matter · Physics 2015-06-18 Moritz Antlanger , Günther Doppelbauer , Martial Mazars , Gerhard Kahl

We use Monte Carlo simulations to map out the phase diagram of the two dimensional Coulomb gas on a square lattice, as a function of density and temperature. We find that the Kosterlitz-Thouless transition remains up to higher charge…

Condensed Matter · Physics 2009-10-28 Pramod Gupta , S. Teitel

We present a new Monte Carlo algorithm for studying site or bond percolation on any lattice. The algorithm allows us to calculate quantities such as the cluster size distribution or spanning probability over the entire range of site or bond…

Statistical Mechanics · Physics 2009-10-31 M. E. J. Newman , R. M. Ziff

We have performed Monte Carlo simulations for the investigation of dynamic phase transitions on a honeycomb lattice which has garnered a significant amount of interest from the viewpoint of tailoring the intrinsic magnetism in…

Statistical Mechanics · Physics 2024-11-21 Yusuf Yüksel

Lattice mismatch can substantially impact the spatial organization of heterogeneous materials. We examine a simple model for lattice-mismatched solids over a broad range of temperature and composition, revealing both uniform and spatially…

Statistical Mechanics · Physics 2019-10-02 Layne B. Frechette , Christoph Dellago , Phillip L. Geissler

In this paper, we extend our analysis of lattice systems using the wavelet transform to systems for which exact enumeration is impractical. For such systems, we illustrate a wavelet-accelerated Monte Carlo (WAMC) algorithm, which…

Chemical Physics · Physics 2009-11-07 Ahmed E. Ismail , George Stephanopoulos , Gregory C. Rutledge

Herein, we study the extended Jaynes-Cummings-Hubbard model mainly by the large-scale worm quantum Monte-Carlo method to check whether or not a light supersolid phase exists in various geometries, such as the one-dimensional chain, square…

Statistical Mechanics · Physics 2021-05-12 Huanhuan Wei , Jie Zhang , Sebastian Greschner , Tony C Scott , Wanzhou Zhang

The basic problem in equilibrium statistical mechanics is to compute phase space average, in which Monte Carlo method plays a very important role. We begin with a review of nonlocal algorithms for Markov chain Monte Carlo simulation in…

Statistical Mechanics · Physics 2007-05-23 Jian-Sheng Wang

The phase separation of a simple binary mixture of incompatible linear polymers in solution is investigated using an extension of the sedimentation equilibrium method, whereby the osmotic pressure of the mixture is extracted from the…

Soft Condensed Matter · Physics 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different plaquette arrangements known as checkerboard models…

Strongly Correlated Electrons · Physics 2019-05-30 Xiaoxue Ran , Nvsen Ma , Dao-Xin Yao

The cold-atom on a two-dimensional square optical lattice is studied within the hard-core boson Hubbard model with an alternating potential. In terms of the quantum Monte Carlo method, it is shown explicitly that a supersolid phase emerges…

Strongly Correlated Electrons · Physics 2009-03-26 Huaiming Guo , Yuchuan Wen , Shiping Feng

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

The stability of liquid crystal phases in presence of small amount of non-mesogenic impurities is of general interest for a large spectrum of technological applications and in the theories of binary mixtures. Starting from the known phase…

Soft Condensed Matter · Physics 2014-05-13 Carlos E. Alvarez , Martial Mazars

This is a series of lectures on Monte Carlo results on the non-perturbative, lattice formulation approach to quantum field theory. Emphasis is put on 4D scalar quantum field theory. I discuss real space renormalization group, fixed point…

High Energy Physics - Lattice · Physics 2007-05-23 C. B. Lang

We performed Monte Carlo simulations in a bilayer system composed by two thin films, one ferromagnetic (FM) and the other antiferromagnetic (AFM). Two lattice structures for the films were considered: simple cubic (sc) and a body center…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Orlando V. Billoni , Sergio A. Cannas , Francisco A. Tamarit
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