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The many-body diffusion quantum Monte Carlo (DMC) method with twist-averaged boundary conditions is used to calculate the ground-state equation of state and the energetics of point defects in fcc aluminum using supercells up to 1331 atoms.…

Materials Science · Physics 2012-10-22 Randolph Q. Hood , P. R. C. Kent , Fernando A. Reboredo

We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to most quantum MD methods that are based on effective…

Strongly Correlated Electrons · Physics 2022-08-19 Zhijie Fan , Gia-Wei Chern

Simulations of extended quantum systems are typically performed by extrapolating results of a sequence of finite-system-size simulations to the thermodynamic limit. In the quantum Monte Carlo community, twist-averaging was pioneered as an…

Strongly Correlated Electrons · Physics 2022-12-14 Sergei Iskakov , Hanna Terletska , Emanuel Gull

We perform Monte-Carlo computations of four-point cluster connectivities in the critical 2d Potts model, for numbers of states $Q\in (0,4)$ that are not necessarily integer. We compare these connectivities to four-point functions in a CFT…

High Energy Physics - Theory · Physics 2019-10-09 Marco Picco , Sylvain Ribault , Raoul Santachiara

A new numerical algorithm for interacting fermion systems to treat the grand-canonical ensemble is proposed and examined by extending the path-integral renormalization group method. To treat the grand-canonical ensemble, the particle-hole…

Strongly Correlated Electrons · Physics 2007-05-23 Shinji Watanabe , Masatoshi Imada

Phase separation in the Hubbard model is investigated with the dynamical cluster approximation. We find that it is present in the paramagnetic solution for values of filling smaller than one and at finite temperature when a positive…

Strongly Correlated Electrons · Physics 2007-05-23 A. Macridin , M. Jarrell , Th. Maier

We analyze enhancements in the magnitude of the self-energy for electrons far away from the Fermi surface in doped Mott insulators using the dynamical cluster approximation to the Hubbard model. For large onsite repulsion, U, and hole…

Strongly Correlated Electrons · Physics 2016-01-11 J. Merino , O. Gunnarsson , G. Kotliar

In a cluster-randomized experiment, treatment is assigned to clusters of individual units of interest--households, classrooms, villages, etc.--instead of the units themselves. The number of clusters sampled and the number of units sampled…

Methodology · Statistics 2020-02-20 Yeng Xiong , Michael J. Higgins

We present a new algorithm which allows for direct numerically exact solutions within dynamical mean-field theory (DMFT). It is based on the established Hirsch-Fye quantum Monte Carlo (HF-QMC) method. However, the DMFT impurity model is…

Strongly Correlated Electrons · Physics 2008-01-09 N. Blümer

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory. The discontinuity in the chemical potential for the change from hole to electron doping…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Ohashi , Y. Ono

Employing extensive cellular dynamical mean-field theory (CDMFT) calculations with exact diagonalization impurity solver, we investigate the ground state phase diagrams and non-magnetic metal-insulator transitions of the half-filled Hubbard…

Strongly Correlated Electrons · Physics 2015-03-20 Han-Qing Wu , Rong-Qiang He , Zi Yang Meng , Zhong-Yi Lu

Linear-response time-dependent (TD) density-functional theory (DFT) has been implemented in the pseudopotential wavelet-based electronic structure program BigDFT and results are compared against those obtained with the all-electron…

We present important use cases and limitations when considering results obtained from Cluster Perturbation Theory (CPT). CPT combines the solutions of small individual clusters of an infinite lattice system with the Bloch theory of…

Strongly Correlated Electrons · Physics 2023-09-26 Nicklas Enenkel , Markus Garst , Peter Schmitteckert

Motivated by recent experimental progress on various cluster Mott insulators, we study an extended Hubbard model on a breathing Kagom\'{e} lattice with a single electron orbital and $1/6$ electron filling. Two distinct types of cluster…

Strongly Correlated Electrons · Physics 2021-01-05 Xu-Ping Yao , Xiao-Tian Zhang , Yong Baek Kim , Xiaoqun Wang , Gang Chen

Using dynamical mean-field theory and the non-crossing approximation as impurity solver, we study the response of a Mott insulator to strong dc electric fields. The breakdown of the Mott insulating state is triggered by field-induced…

Strongly Correlated Electrons · Physics 2013-07-01 Martin Eckstein , Philipp Werner

The Iterated Perturbation Theory (IPT) equations of the Dynamical Mean Field Theory (DMFT) for the half-filled Hubbard model, are solved on nearly real frequencies at various values of the Hubbard parameters $U$, to investigate the nature…

Strongly Correlated Electrons · Physics 2008-08-05 M. B. Fathi , S. A. Jafari

We have calculated thermodynamic and spectral properties of Ce metal over a wide range of volume and temperature, including the effects of 4f electron correlations, by the merger of the local density approximation and dynamical mean field…

Strongly Correlated Electrons · Physics 2007-05-23 A. K. McMahan , K. Held , R. T. Scalettar

It is shown that a minimum realization of the dynamical mean-field theory (DMFT) can be achieved by mapping a correlated lattice model onto an impurity model in which the impurity is coupled to an uncorrelated bath that consists of a single…

Strongly Correlated Electrons · Physics 2009-11-07 M. Potthoff

The bold diagrammatic Monte Carlo (BDMC) method performs an unbiased sampling of Feynman's diagrammatic series using skeleton diagrams. For lattice models the efficiency of BDMC can be dramatically improved by incorporating dynamic…

Statistical Mechanics · Physics 2015-05-20 L. Pollet , N. V. Prokof'ev , B. V. Svistunov

The two-band Hubbard model involving subbands of different widths is investigated via finite-temperature exact diagonalization (ED) and dynamical mean field theory (DMFT). In contrast to the quantum Monte Carlo (QMC) method which at low…

Strongly Correlated Electrons · Physics 2009-11-11 A. Liebsch , T. A. Costi