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We investigate the performance of the hybrid Monte Carlo algorithm, the standard algorithm used for lattice QCD simulations involving fermions, in updating non-trivial global topological structures. We find that the hybrid Monte Carlo…

High Energy Physics - Lattice · Physics 2016-08-15 B. Allés , G. Boyd , M. D'Elia , A. Di Giacomo , E. Vicari

Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO(3)$\times$U(1) symmetry. Using large-scale auxiliary-field…

Strongly Correlated Electrons · Physics 2022-02-25 Zi Hong Liu , Matthias Vojta , Fakher F. Assaad , Lukas Janssen

We extend the Worldline Monte Carlo approach to computationally simulating the Feynman path integral of non-relativistic multi-particle quantum-mechanical systems. We show how to generate an arbitrary number of worldlines distributed…

The choice of appropriate interaction models is among the major disadvantages of conventional methods such as molecular dynamics and Monte Carlo simulations. On the other hand, the so-called reverse Monte Carlo (RMC) method, based on…

Soft Condensed Matter · Physics 2013-03-26 S. M. Mesli , M. Habchi , M. Kotbi , H. Xu

We review the application of lattice QCD techniques, most notably the Hybrid Monte-Carlo (HMC) simulations, to first-principle study of tight-binding models of crystalline solids with strong inter-electron interactions. After providing a…

High Energy Physics - Lattice · Physics 2016-08-23 P. V. Buividovich , M. V. Ulybyshev

The multi-configurational self-consistent field theory is considered the standard starting point for almost all multireference approaches required for strongly-correlated molecular problems. The limitation of the approach is generally given…

Chemical Physics · Physics 2015-10-14 Robert E. Thomas , Qiming Sun , Ali Alavi , George H. Booth

We report an implementation of the core-valence separation approach to the 4-component relativistic Hamiltonian based equation-of-motion coupled-cluster with singles and doubles theory (CVS-EOM-CCSD), for the calculation of relativistic…

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in the warm dense matter regime, e.g. dense plasmas and laser excited solids. Also, the quality of density functional theory calculations…

Strongly Correlated Electrons · Physics 2016-02-10 S. Groth , T. Schoof , T. Dornheim , M. Bonitz

We present an ab-initio-based effective interaction model (EIM) for the study of magnetism, thermodynamics, and their interplay in body-centered cubic Fe-Co alloys, with Co content from 0 to 70%. The model includes explicitly both spin and…

Materials Science · Physics 2020-01-16 Van-Truong Tran , Chu-Chun Fu , Anton Schneider

The theory of correlated electron systems is formulated in a form which allows to use as a reference point an ab initio band structure theory (AIBST). The theory is constructed in two steps. As a first step the total Hamiltonian is…

Strongly Correlated Electrons · Physics 2007-05-23 Igor Sandalov , Borje Johansson , Olle Eriksson

In view of the continuous theoretical efforts aimed at an accurate microscopic description of the strongly correlated transition metal oxides and related materials, we show that with continuum quantum Monte Carlo (QMC) calculations it is…

Strongly Correlated Electrons · Physics 2014-07-10 Kateryna Foyevtsova , Jaron T. Krogel , Jeongnim Kim , P. R. C. Kent , Elbio Dagotto , Fernando A. Reboredo

Numerically exact continuous-time Quantum Monte Carlo algorithm for finite fermionic systems with non-local interactions is proposed. The scheme is particularly applicable for general multi-band time-dependent correlations since it does not…

Strongly Correlated Electrons · Physics 2009-11-10 A. N. Rubtsov , A. I. Lichtenstein

A variational solution procedure is reported for the many-particle no-pair Dirac-Coulomb-Breit Hamiltonian aiming at a parts-per-billion (ppb) convergence of the atomic and molecular energies, described within the fixed nuclei…

Quantum Physics · Physics 2024-06-19 Péter Jeszenszki , Dávid Ferenc , Edit Mátyus

By using a modulated magnetic field in a Feshbach resonance for ultracold fermionic atoms in optical lattices, we show that it is possible to engineer a class of models usually referred to as correlated-hopping models. These models differ…

Quantum Gases · Physics 2014-03-28 M. Di Liberto , C. E. Creffield , G. I. Japaridze , C. Morais Smith

We identify and rectify a crucial source of bias in the initiator FCIQMC algorithm. Non-initiator determinants (i.e. determinants whose population is below the initiator threshold) are subject to a systematic {\em undersampling} bias, which…

Computational Physics · Physics 2019-12-13 Khaldoon Ghanem , Alexander Y. Lozovoi , Ali Alavi

Strongly correlated electron systems are generally described by tight binding lattice Hamiltonians with strong local (on site) interactions, the most popular being the Hubbard model. Although the half filled Hubbard model can be simulated…

Strongly Correlated Electrons · Physics 2020-02-26 Zhenhao Fan , Zhipeng Sun , Dingping Li , Itzhak Berenstein , Guy Leshem , Baruch Rosenstein

We consider the one-dimensional quantum-statistical problem of interacting spin-less particles in an infinite deep potential valley and on a ring. Several limits for the applicability of the Quantum Monte Carlo (QMC) methods were revealed…

Statistical Mechanics · Physics 2007-05-23 Z. Neda , Z. Dezso

We propose the use of preconditioning in FCIQMC which, in combination with perturbative estimators, greatly increases the efficiency of the algorithm. The use of preconditioning allows a time step close to unity to be used (without…

Chemical Physics · Physics 2019-05-17 Nick S. Blunt , Alex J. W. Thom , Charles J. C. Scott

Approximate full configuration interaction (FCI) calculations have recently become tractable for systems of unforeseen size thanks to stochastic and adaptive approximations to the exponentially scaling FCI problem. The result of an FCI…

Strongly Correlated Electrons · Physics 2017-10-25 Susi Lehtola , Norm M. Tubman , K. Birgitta Whaley , Martin Head-Gordon

We report our successful implementation of the full fledged relativistic equation of motion coupled cluster (EOMCC) method. This method is employed to compute the principal ionization potentials (IPs) of closed-shell rare gas atoms, He-like…

Atomic Physics · Physics 2014-04-24 Himadri Pathak , B. K. Sahoo , B. P. Das , Nayana Vaval , Sourav Pal
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