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We extend the variational cluster approach to deal with strongly correlated lattice bosons in the superfluid phase. To this end, we reformulate the approach within a pseudoparticle formalism, whereby cluster excitations are described by…

量子气体 · 物理学 2011-04-11 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

We extend the self-energy functional theory (SFT) to the case of interacting lattice bosons in the presence of symmetry breaking and quenched disorder. The self-energy functional we derive depends only on the self-energies of the…

量子气体 · 物理学 2018-05-15 Dario Hügel , Hugo U. R. Strand , Lode Pollet

Self-energy-functional theory is a formal framework which allows to derive non-perturbative and thermodynamically consistent approximations for lattice models of strongly correlated electrons from a general dynamical variational principle.…

强关联电子 · 物理学 2011-12-08 Michael Potthoff

The self-energy-functional approach (SFA) is discussed in the context of different variational principles for strongly correlated electron systems. Formal analogies between static and dynamical variational approaches, different types of…

强关联电子 · 物理学 2015-06-25 Michael Potthoff

We derive the self-energy functional theory for bosonic lattice systems with broken $U(1)$ symmetry by parametrizing the bosonic Baym-Kadanoff effective action in terms of one- and two-point self-energies. The formalism goes beyond other…

量子气体 · 物理学 2016-11-14 Dario Hügel , Philipp Werner , Lode Pollet , Hugo U. R. Strand

In the variational cluster approximation (VCA) (or variational cluster perturbation theory), widely used to study the Hubbard model, a fundamental problem that renders variational solutions difficult in practice is its known lack of…

强关联电子 · 物理学 2008-03-04 Andriy H. Nevidomskyy , David Sénéchal , A. -M. S. Tremblay

Over the past two decades, many studies in the Density Functional Theory context revealed new aspects and properties of strongly correlated superfluid quantum systems in numerous configurations that can be simulated in experiments. This was…

量子气体 · 物理学 2022-07-08 Antoine Boulet , Gabriel Wlazłowski , Piotr Magierski

The dynamical cluster approximation (DCA) is a systematic extension beyond the single site approximation in dynamical mean field theory (DMFT), to include spatially non-local correlations in quantum many-body simulations of strongly…

强关联电子 · 物理学 2013-11-27 Peter Staar , Thomas Maier , Thomas C. Schulthess

We derive the low-energy effective action for three-dimensional superfluid Fermi systems in the strong-coupling limit, where superfluidity originates from Bose-Einstein condensation of composite bosons. Taking into account density and…

超导电性 · 物理学 2007-05-23 N. Dupuis

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations…

强关联电子 · 物理学 2020-11-06 M. Vandelli , V. Harkov , E. A. Stepanov , J. Gukelberger , E. Kozik , A. Rubio , A. I. Lichtenstein

Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

强关联电子 · 物理学 2013-05-29 Michael Potthoff , Matthias Balzer

The dynamics of a confined fluid of Bose atoms is treated within the linear response regime, with a view to establishing a current-density functional formalism for an inhomogeneous superfluid state. After evaluating in full detail a…

统计力学 · 物理学 2009-10-31 M. L. Chiofalo , A. Minguzzi , M. P. Tosi

Site-occupation embedding theory (SOET) is an in-principle-exact multi-determinantal extension of density-functional theory for model Hamiltonians. Various extensions of recent developments in SOET [Senjean et al., Phys. Rev. B 97, 235105…

强关联电子 · 物理学 2019-08-06 Bruno Senjean , Naoki Nakatani , Masahisa Tsuchiizu , Emmanuel Fromager

We use strong-coupling perturbation theory, the variational cluster approach (VCA), and the dynamical density-matrix renormalization group (DDMRG) method to investigate static and dynamical properties of the one-dimensional Bose--Hubbard…

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field…

强关联电子 · 物理学 2007-05-23 M. Potthoff , M. Aichhorn , C. Dahnken

A first-principles computational method with self-consistent on-site and inter-site Hubbard functionals is able to treat local and non-local Coulomb interactions on an equal footing. To apply the method to understand solids with strong…

材料科学 · 物理学 2024-10-17 Wooil Yang , Young-Woo Son

The self-energy functional theory (SFT) is generalized to describe the real-time dynamics of correlated lattice-fermion models far from thermal equilibrium. This is achieved by means of a reformulation of the original equilibrium theory in…

强关联电子 · 物理学 2013-10-21 Felix Hofmann , Martin Eckstein , Enrico Arrigoni , Michael Potthoff

One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. It namely replaces the macroscopically complex wavefunction by the simple one-particle reduced density…

量子气体 · 物理学 2021-04-13 Julia Liebert , Christian Schilling

We have designed a new multi-scale approach for Strongly Correlated Systems by combining the Dynamical Cluster Approximation (DCA) and the recently introduced dual-fermion formalism. This approach employs an exact mapping from a real…

强关联电子 · 物理学 2011-10-12 S. -X. Yang , H. Fotso , H. Hafermann , K. -M. Tam , J. Moreno , T. Pruschke , M. Jarrell

We present the algorithmic details of the dynamical cluster approximation (DCA) algorithm. The DCA is a fully-causal approach which systematically restores non-local correlations to the dynamical mean field approximation (DMFA). The DCA is…

强关联电子 · 物理学 2007-05-23 S. Moukouri , C. Huscroft , M. Jarrell
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