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We propose a scheme to investigate the quantum phase transition of cold atoms in the bilayer hexagonal optical lattices. Using the quantum Monte Carlo method, we calculate the ground state phase diagrams which contain an antiferromagnet, a…

Quantum Gases · Physics 2013-05-29 Wei Xie , Qi-Hui Chen , Wu-Ming Liu

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method treats all interactions exactly and…

Strongly Correlated Electrons · Physics 2007-10-25 Martin Hohenadler , Peter B Littlewood

In this work the well-known Frenkel-Mulder phase diagram of hard ellipsoids of revolution [Mol. Phys. 55, 1171 (1985)] is revisited by means of replica exchange Monte Carlo simulations. The method provides good sampling of dense systems and…

Statistical Mechanics · Physics 2015-06-04 Gerardo Odriozola

We develop generalization of the fixed-phase diffusion Monte Carlo method for Hamiltonians which explicitly depend on particle spins such as for spin-orbit interactions. The method is formulated in zero variance manner and is similar to…

Strongly Correlated Electrons · Physics 2016-04-13 Cody A. Melton , Minyi Zhu , Shi Guo , Alberto Ambrosetti , Francesco Pederiva , Lubos Mitas

We study lithium systems over a range of number of atoms, e.g., atomic anion, dimer, metallic cluster, and body-centered cubic crystal by the diffusion Monte Carlo method. The calculations include both core and valence electrons in order to…

Computational Physics · Physics 2015-07-29 Kevin Rasch , Lubos Mitas

We study a solution of interacting semiflexible polymers with curvature energy in poor-solvent conditions on the d-dimensional cubic lattice using mean-field theory and Monte Carlo computer simulations. Building upon past studies on a…

Soft Condensed Matter · Physics 2024-07-02 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

Motivated by the unexpected Monte Carlo results as well as the theoretical proposal of a large correction to scaling for the critical theory of the 2-d staggered-dimer spin-1/2 Heisenberg model on the square lattice, we study the phase…

Strongly Correlated Electrons · Physics 2012-06-19 M. -T. Kao , D. -J. Tan , F. -J. Jiang

We discuss designer Hamiltonians---lattice models tailored to be free from sign problems ("de-signed") when simulated with quantum Monte Carlo methods but which still host complex many-body states and quantum phase transitions of interest…

Strongly Correlated Electrons · Physics 2013-03-28 Ribhu K. Kaul , Roger G. Melko , Anders W. Sandvik

A continuous-time formulation of the Diffusion Monte Carlo method for lattice models is presented. In its simplest version, without the explicit use of trial wavefunctions for importance sampling, the method is an excellent tool for…

Strongly Correlated Electrons · Physics 2009-11-10 Olav F. Syljuasen

We present an effcient Monte-Carlo method for lattice glass models which are characterized by hard constraint conditions. The basic idea of the method is similar to that of the $N$-fold way method. By using a list of sites into which we can…

Statistical Mechanics · Physics 2015-06-05 Munetaka Sasaki , Koji Hukushima

We present a Monte Carlo simulation technique by which the free energy of disordered systems can be computed directly. It is based on thermodynamic integration. The central idea is to construct an analytically solvable reference system from…

Statistical Mechanics · Physics 2015-05-14 Tanja Schilling , Friederike Schmid

We use Monte Carlo techniques and analytical methods to study the phase diagram of the M--component Widom-Rowlinson model on the bcc-lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion…

Statistical Mechanics · Physics 2015-06-25 P. Nielaba , J. L. Lebowitz

A field theory involving two interacting scalar fields, previously studied by Rummukainen and Gottlieb, is revisited. Our study is not restricted to the limit of large quartic couplings, and a Symanzik-improved action is used so that…

High Energy Physics - Lattice · Physics 2018-10-29 Daniel Darvish , Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Colin Morningstar

Based on the scheme of variational Monte Carlo sampling, we develop an accurate and efficient two-dimensional tensor-network algorithm to simulate quantum lattice models. We find that Monte Carlo sampling shows huge advantages in dealing…

Strongly Correlated Electrons · Physics 2021-06-28 Wen-Yuan Liu , Yi-Zhen Huang , Shou-Shu Gong , Zheng-Cheng Gu

The dipolar universality class describes the phase transition in 3D ferromagnets with strong dipolar interactions, as first discussed by Aharony and Fisher in the 1970s. While this universality class has been studied theoretically using…

High Energy Physics - Theory · Physics 2026-05-13 Akira Matsumoto , Yu Nakayama , Toshiki Onagi , Slava Rychkov

We study the phase diagram and the commensurate-incommensurate transitions in a phase field model of a two-dimensional crystal lattice in the presence of an external pinning potential. The model allows for both elastic and plastic…

Other Condensed Matter · Physics 2007-05-23 C. V. Achim , M. Karttunen , K. R. Elder , E. Granato , T. Ala-Nissila , S. C. Ying

In this paper, we study Bose-Hubbard models on the square and honeycomb lattices with complex hopping amplitudes, which are feasible by recent experiments of cold atomic gases in optical lattices. To clarify phase diagrams, we use an…

Quantum Gases · Physics 2016-01-06 Yoshihito Kuno , Takashi Nakafuji , Ikuo Ichinose

In this paper we present a classical Monte Carlo simulation of the orthorhombic phase of crystalline polyethylene, using an explicit atom force field with unconstrained bond lengths and angles and periodic boundary conditions. We used a…

Materials Science · Physics 2009-10-28 R. Martonak , W. Paul , K. Binder

We present a nonlocal Monte Carlo algorithm with particle swaps that greatly accelerates thermalization of soft sphere binary mixtures in the glassy region. Our first results show that thermalization of systems of hundreds of particles is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tomas S. Grigera , Giorgio Parisi

Monte Carlo simulations at constant pressure are performed to study coexistence and interfacial properties of the liquid-solid transition in hard spheres and in colloid-polymer mixtures. The latter system is described as a one-component…

Soft Condensed Matter · Physics 2015-05-18 T. Zykova-Timan , J. Horbach , K. Binder
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