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We present second-order molecular cluster perturbation theory (MCPT(2)), a linear scaling methodology to calculate arbitrarily large systems with explicit calculation of individual wavefunctions in a coupled-cluster framework. This new…

We construct an efficient cluster algorithm for ferromagnetic SU(N)-symmetric quantum spin systems. Such systems provide a new regularization for CP(N-1) models in the framework of D-theory, which is an alternative non-perturbative approach…

High Energy Physics - Lattice · Physics 2007-05-23 B. B. Beard , M. Pepe , S. Riederer , U. -J. Wiese

Cluster perturbation theory is used to calculate band structure, spectral functions, Fermi surface, and spin and charge susceptibilities for the two-orbital model of iron pnictides with the on-site multiorbital Hubbard interactions.…

Superconductivity · Physics 2016-12-13 S. V. Nikolaev , M. M. Korshunov

We consider 2D Dirac fermions in the presence of three types of disorder: random scalar potential, random gauge potential and random mass with long-range correlations decaying as a power law. Using various methods such as the…

Mesoscale and Nanoscale Physics · Physics 2012-03-29 Andrei A. Fedorenko , David Carpentier , Edmond Orignac

A new scheme of first-principles computation for strongly correlated electron systems is proposed. This scheme starts from the local-density approximation (LDA) at high-energy band structure, while the low-energy effective Hamiltonian is…

Materials Science · Physics 2007-05-23 Yoshiki Imai , Igor V. Solovyev , Masatoshi Imada

A novel reduced-scaling, general-order coupled-cluster approach is formulated by exploiting hierarchical representations of many-body tensors, combined with the recently suggested formalism of scale-adaptive tensor algebra. Inspired by the…

Chemical Physics · Physics 2018-03-14 Dmitry I. Lyakh

We examine a central approximation of the recently introduced Dynamical Cluster Approximation (DCA) by example of the Hubbard model. By both analytical and numerical means we study non-compact and compact contributions to the thermodynamic…

Strongly Correlated Electrons · Physics 2009-11-07 K. Aryanpour , M. H. Hettler , M. Jarrell

Interfacing unbiased quantum Monte Carlo simulations with state-of-art analytic continuation techniques, we obtain exact numerical results for dynamical density and spin correlations in the attractive Hubbard model, describing a…

Quantum Gases · Physics 2020-12-07 Ettore Vitali , Patrick Kelly , Annette Lopez , Gianluca Bertaina , Davide Emilio Galli

In this paper, we discuss extending the sub-system embedding sub-algebra coupled cluster (SESCC) formalism and the double unitary coupled cluster (DUCC) Ansatz to the time domain. An important part of the analysis is associated with proving…

Quantum Physics · Physics 2020-07-15 Karol Kowalski , Nicholas P. Bauman

Interacting Fermi systems in the strongly correlated regime play a fundamental role in many areas of physics and are of particular interest to the condensed matter community. Though weakly inter- acting fermions are understood, strongly…

Quantum Gases · Physics 2016-07-27 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product…

Numerical Analysis · Mathematics 2021-07-28 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan

Recently, many experiments with cold atomic gases have been conducted from interest in the non-equilibrium dynamics of correlated quantum systems. Of these experiments, the mixing dynamics of fermion clusters motivates us to research…

Quantum Gases · Physics 2014-07-31 Jun'ichi Ozaki , Masaki Tezuka , Norio Kawakami

We present an efficient diagrammatic method to describe nonlocal correlation effects in lattice fermion Hubbard-like models, which is based on a change of variables in the Grassmann path integrals. The new fermions are dual to the original…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein , A. Georges

Strongly correlated systems of fermions have a number of exciting collective properties. Among them, the creation of a lattice that is occupied by doublons, i.e. two quantum particles with opposite spins, offers interesting electronic…

Strongly Correlated Electrons · Physics 2019-01-02 Karsten Balzer , Maximilian Rodriguez Rasmussen , Niclas Schlünzen , Jan-Philip Joost , Michael Bonitz

Based on a nonabelian generalization of electric-magnetic duality, the Dualized Standard Model (DSM) suggests a natural explanation for exactly 3 generations of fermions as the `dual colour' $\widetilde{SU}(3)$ symmetry broken in a…

High Energy Physics - Phenomenology · Physics 2007-05-23 HM Chan , ST Tsou

In recent years the complex action problem of lattice field theory at finite density was overcome for several system by mapping them to dual variables (flux lines and surfaces). We illustrate this mapping for the case of the U(1) gauge…

High Energy Physics - Lattice · Physics 2014-01-31 Christof Gattringer

We consider pairing in a dilute system of Fermions with a short-range interaction. While the theory is ill-defined for a contact interaction, the BCS equations can be solved in the leading order of low-energy effective field theory. The…

Nuclear Theory · Physics 2011-07-18 Thomas Papenbrock , George F. Bertsch

In dynamical mean-field theory, the correlations between electrons are assumed to be purely local. The dual fermion approach provides a systematic way of adding non-local corrections to the dynamical mean-field theory starting point.…

Strongly Correlated Electrons · Physics 2021-01-27 Erik G. C. P. van Loon

Given the ground state wavefunction for an interacting lattice model, we define a "correlation density matrix"(CDM) for two disjoint, separated clusters $A$ and $B$, to be the density matrix of their union, minus the direct product of their…

Strongly Correlated Electrons · Physics 2013-05-29 Siew-Ann Cheong , C. L. Henley

We study the many-body physics of different quantum systems using a hierarchy of correlations, which corresponds to a generalization of the $1/\mathcal{Z}$ hierarchy. The decoupling scheme obtained from this hierarchy is adapted to…

Strongly Correlated Electrons · Physics 2016-07-27 Álvaro Gómez-León
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