Dynamical vertex approximation : A step beyond dynamical mean-field theory
TLDR
In this paper, a diagrammatic approach with local and non-local self-energy diagrams, constructed from the local irreducible vertex, was developed to describe (para)magnons and weak localization effects in strongly correlated systems.Abstract:
We develop a diagrammatic approach with local and nonlocal self-energy diagrams, constructed from the local irreducible vertex. This approach includes the local correlations of dynamical mean-field theory and long-range correlations beyond. It allows us, for example, to describe (para)magnons and weak localization effects---in strongly correlated systems. As a first application, we study the interplay between nonlocal antiferromagnetic correlations and the strong local correlations emerging in the vicinity of a Mott-Hubbard transition.read more
Citations
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Continuous-time Monte Carlo methods for quantum impurity models
Emanuel Gull,Andrew J. Millis,Alexander I. Lichtenstein,Alexey N. Rubtsov,Matthias Troyer,Philipp Werner +5 more
TL;DR: In this paper, the continuous-time quantum Monte Carlo (QMC) algorithm is used to solve the local correlation problem in quantum impurity models with high and low energy scales and is effective for wide classes of physically realistic models.
Journal ArticleDOI
Electronic structure calculations using dynamical mean field theory
TL;DR: In this article, a combined density functional theory in its local density approximation (LDA) and dynamical mean field theory (DMFT) was proposed to deal with strongly correlated model Hamiltonians.
Journal ArticleDOI
Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
James P.F. LeBlanc,Andrey E. Antipov,Federico Becca,Ireneusz W. Bulik,Garnet Kin-Lic Chan,Chia-Min Chung,Youjin Deng,Michel Ferrero,Michel Ferrero,Thomas M. Henderson,Carlos A. Jiménez-Hoyos,Evgeny Kozik,X. Liu,Andrew J. Millis,Nikolay Prokof'ev,Nikolay Prokof'ev,Mingpu Qin,Gustavo E. Scuseria,Hao Shi,Boris Svistunov,Luca F. Tocchio,Igor S. Tupitsyn,Steven R. White,Shiwei Zhang,Bo-Xiao Zheng,Zhenyue Zhu,Emanuel Gull +26 more
TL;DR: In this article, numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the thermodynamic limit.
Journal ArticleDOI
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
G. Rohringer,Hartmut Hafermann,Alessandro Toschi,A. A. Katanin,Andrey E. Antipov,Mikhail I. Katsnelson,Alexander I. Lichtenstein,Alexey N. Rubtsov,Karsten Held +8 more
TL;DR: In this paper, the authors present a review of the state-of-the-art methods for strong electronic correlations, starting with the local, eminently important correlations of dynamical mean field theory (DMFT).
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TRIQS: A toolbox for research on interacting quantum systems
Olivier Parcollet,Michel Ferrero,Thomas Ayral,Thomas Ayral,Hartmut Hafermann,Igor Krivenko,Laura Messio,Laura Messio,Priyanka Seth +8 more
TL;DR: The TRIQS toolbox for Research on Interacting Quantum Systems as mentioned in this paper is an open-source, computational physics library providing a framework for the quick development of applications in the field of many-body quantum physics, and in particular, strongly correlated electronic systems.
References
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TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
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Correlated lattice fermions in d=∞ dimensions
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TL;DR: In this paper, a new approach to correlated Fermi systems such as the Hubbard model, the periodic Anderson model etc. is discussed, which makes use of the limit of high spatial dimensions.
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Metal-Insulator Transition
TL;DR: A general survey of the metal-nonmetal transition is given in this article with particular emphasis on the following points: (a) is the transition of first order; (b) can one observe the transition; and (c) how the transition affected when it occurs in ionic lattices or polar liquids.
Book
Spin Fluctuations in Itinerant Electron Magnetism
Tôru Moriya,Yoshinori Takahashi +1 more
TL;DR: In this paper, a general theory of spin fluctuations and thermodynamical properties of itinerant electron magnets is developed, interpolating between the weakly and strongly ferromagnetic limits, and a unified expression is given for the Curie temperature and the physical meaning of the curie-Weiss magnetic susceptibility is discussed.