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We investigate how the fixed-node diffusion Monte Carlo energy of solids depends on single-particle orbitals used in Slater--Jastrow wave functions. We demonstrate that the dependence can be significant, in particular in the case of 3d…

Materials Science · Physics 2010-09-09 Jindrich Kolorenc , Shuming Hu , Lubos Mitas

We formulate a quantum Monte Carlo (QMC) method for calculating the ground state of many-boson systems. The method is based on a field-theoretical approach, and is closely related to existing fermion auxiliary-field QMC methods which are…

Computational Physics · Physics 2009-11-10 Wirawan Purwanto , Shiwei Zhang

We present an analytical expression for the static many-body local field factor $G_{+}(q)$ of a homogeneous two-dimensional electron gas, which reproduces Diffusion Monte Carlo data and embodies the exact asymptotic behaviors at both small…

Strongly Correlated Electrons · Physics 2009-11-07 B. Davoudi , M. Polini , G. F. Giuliani , M. P. Tosi

The quantum mechanical ground state of a 2D $N$-electron system in a confining potential $V(x)=Kv(x)$ ($K$ is a coupling constant) and a homogeneous magnetic field $B$ is studied in the high density limit $N\to\infty$, $K\to \infty$ with…

Condensed Matter · Physics 2009-10-28 E. H. Lieb , J. P. Solovej , J. Yngvason

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte…

Statistical Mechanics · Physics 2009-10-30 A. L. Ferreira , W. Korneta

Ground-state properties of a two-dimensional fluid of bosons with repulsive dipole-dipole interactions are studied by means of the Euler-Lagrange hypernetted-chain approximation. We present a self-consistent semi-analytical theory of the…

Quantum Gases · Physics 2012-10-03 Saeed H. Abedinpour , Reza Asgari , Marco Polini

We review the use of continuum quantum Monte Carlo (QMC) methods for the calculation of energy gaps from first principles, and present a broad set of excited-state calculations carried out with the variational and fixed-node diffusion QMC…

Materials Science · Physics 2018-08-22 Ryan J. Hunt , Marcin Szyniszewski , Genki I. Prayogo , Ryo Maezono , Neil D. Drummond

Precise calculations of dynamics in the homogeneous electron gas (jellium model) are of fundamental importance for design and characterization of new materials. We introduce a diagrammatic Monte Carlo technique based on algorithmic…

Strongly Correlated Electrons · Physics 2022-12-21 James P. F. LeBlanc , Kun Chen , Kristjan Haule , Nikolay V. Prokof'ev , Igor S. Tupitsyn

We study interacting Majorana fermions in two dimensions as a low-energy effective model of a vortex lattice in two-dimensional time-reversal-invariant topological superconductors. For that purpose, we implement ab-initio quantum Monte…

Strongly Correlated Electrons · Physics 2017-07-19 Tomoya Hayata , Arata Yamamoto

We report on the properties of the two-dimensional electron gas in a dual-gate geometry, using quantum Monte Carlo methods to obtain aspects of the phase diagram as a function of electron density and gate distance. We identify the critical…

Strongly Correlated Electrons · Physics 2026-01-06 Agnes Valenti , Vladimir Calvera , Yubo Yang , Miguel A. Morales , Steven A. Kivelson , Ilya Esterlis , Shiwei Zhang

Variational quantum Monte Carlo calculations are reported for the bulk GaAs semiconductor in order to present values for the ground-state energy, the lattice constant, the bulk modulus, and some derived properties. The statistical accuracy…

mtrl-th · Physics 2009-10-30 H. Eckstein , W. Schattke , M. Reigrotzki , R. Redmer

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}…

Numerical Analysis · Mathematics 2007-05-23 Tony Lelievre , Mohamed El Makrini , Benjamin Jourdain

We show by a meta-analysis of the available Quantum Monte-Carlo (QMC) results that two-dimensional fermions with repulsive interactions exhibit universal behavior in the strongly-correlated regime, and that their freezing transition can be…

Quantum Gases · Physics 2013-08-09 Mehrtash Babadi , Brian Skinner , Michael M. Fogler , Eugene Demler

We report calculations for electronic ground states of parabolically confined quantum dots for up to 30 electrons based on the quantum Monte Carlo method. Effects of the electron-electron interaction and the response to a magnetic field are…

Strongly Correlated Electrons · Physics 2007-05-23 V. Popsueva , T. Matthey , J. P. Hansen , L. Kocbach , M. Hjorth-Jensen

The implementation and reliability of a quadratic diffusion Monte Carlo method for the study of ground-state properties of atoms are discussed. We show in the simple yet non-trivial calculation of the binding energy of the Li atom that the…

Condensed Matter · Physics 2009-11-07 A. Sarsa , J. Boronat , J. Casulleras

The two-dimensional two-orbital Hubbard model is studied with the use of finite-size cluster worldline quantum Monte Carlo algorithm. This model is widely used for simulation of the band structure of FeAs clusters, which are structure…

Strongly Correlated Electrons · Physics 2016-12-28 Vladimir A. Kashurnikov , Andrey V. Krasavin , Yaroslav V. Zhumagulov

Here we discuss Quantum Monte Carlo results for the magnetic susceptibility, single-particle spectral weight and the irreducible particle-particle interaction vertex of the two-dimensional Hubbard model. In the doped system, as the…

Condensed Matter · Physics 2007-05-23 D. J. Scalapino

Ensembles with long-range interactions between particles are promising for revealing strong quantum collective effects and many-body phenomena. Here we study the ground-state phase diagram of a two-dimensional Bose system with quadrupolar…

Quantum Gases · Physics 2021-04-07 G. E. Astrakharchik , I. L. Kurbakov , D. V. Sychev , A. K. Fedorov , Yu. E. Lozovik

The ground-state phase diagram of a two-dimensional Bose system with dipole-dipole interactions is studied by means of quantum Monte Carlo technique. Our calculation predicts a quantum phase transition from gas to solid phase when the…

Superconductivity · Physics 2007-05-23 G. E. Astrakharchik , J. Boronat , I. L. Kurbakov , Yu. E. Lozovik

We probe the superconducting gap in the zero temperature ground state of an attractively interacting spin-imbalanced two-dimensional Fermi gas with Diffusion Monte Carlo. A condensate fraction at nonzero pair momentum evidences a spatially…

Strongly Correlated Electrons · Physics 2019-12-11 D. C. W. Foo , G. J. Conduit