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We derive a formula for the electric polarization of interacting insulators, expressed in terms of the full Green's and vertex functions. We exemplify this method in the half-filled ionic Hubbard model treated within dynamical mean field…

Strongly Correlated Electrons · Physics 2014-02-07 R. Nourafkan , G. Kotliar

The concept of electronic correlations plays an important role in modern condensed matter physics. It refers to interaction effects which cannot be explained within a static mean-field picture as provided by Hartree-Fock theory. Electronic…

Strongly Correlated Electrons · Physics 2015-03-17 Dieter Vollhardt

New insights into the microscopic origin of itinerant ferromagnetism were recently gained from investigations of electronic lattice models within dynamical mean-field theory (DMFT). In particular, it is now established that even in the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Vollhardt , N. Blümer , K. Held , M. Kollar

These are introductory lectures to some aspects of the physics of strongly correlated electron systems. I first explain the main reasons for strong correlations in several classes of materials. The basic principles of dynamical mean-field…

Strongly Correlated Electrons · Physics 2009-09-29 Antoine Georges

We study the effects of an orbital magnetic field on the Mott metal-insulator transition in the Hubbard-Hofstadter model. We demonstrate that sufficiently large magnetic fields induce a Mott insulator-to-metal phase transition supporting…

Strongly Correlated Electrons · Physics 2025-10-28 Georg Rohringer , Anton A. Markov

We study the transitions from band insulator to metal to Mott insulator in the ionic Hubbard model on a two dimensional square lattice using determinant Quantum Monte Carlo. Evaluation of the temperature dependence of the conductivity…

Strongly Correlated Electrons · Physics 2009-11-11 N. Paris , K. Bouadim , F. Hebert , G. G. Batrouni , R. T. Scalettar

Electron correlations in the two-orbital Hubbard model at half-filling are investigated by combining dynamical mean field theory with the exact diagonalization method. We systematically study how the interplay of the intra- and inter-band…

Strongly Correlated Electrons · Physics 2009-11-07 Akihisa Koga , Yoshiki Imai , Norio Kawakami

We demonstrate, using dynamical mean-field theory with the hybridization expansion continuous time quantum montecarlo impurity solver, a rich phase diagram with {\em correlation driven metallic and half-metallic phases} in a simple model of…

Strongly Correlated Electrons · Physics 2021-04-21 Soumen Bag , Arti Garg , H. R. Krishnamurthy

We study the possibility of ferromagnetism in metals. The metal is described by two hybridized bands one of which includes Hubbard correlation whereas the other is uncorrelated. We parametrize the ratio of the band widths and their centers…

Strongly Correlated Electrons · Physics 2010-07-02 C. M. Chaves , A. Troper

Using the nonlocal coherent-potential approximation we study the effect of intersite spatial correlations on the transition from band insulator to metal as well as from metal to Mott insulator in the "alloy analogy" approach to the…

Strongly Correlated Electrons · Physics 2014-07-22 D. A. Rowlands , Yu-Zhong Zhang

The iterative perturbation theory of the dynamical mean field theory is generalized to arbitrary electron occupation in case of multi-orbital Hubbard bands. We present numerical results of doubly degenerate Eg bands in a simple cubic…

Strongly Correlated Electrons · Physics 2007-12-06 Takeo Fujiwara , Susumu Yamamoto , Yasushi Ishii

The charge-ordered insulator $\alpha$-(BEDT-TTF)$_2$I$_3$ gradually evolves to a metal when pressure is applied, and at low temperatures the electronic bands form tilted Dirac-like cones. A metallic state with a frequency-independent…

Strongly Correlated Electrons · Physics 2019-05-22 Weiwu Li , Ece Uykur , Christine A. Kuntscher , Martin Dressel

Recent investigations suggest that both spin-orbit coupling and electron correlation play very crucial roles in the $5d$ transition metal oxides. By using the generalized Gutzwiller variational method and dynamical mean-field theory with…

Strongly Correlated Electrons · Physics 2015-06-12 Liang Du , Li Huang , Xi Dai

We analyze the effects of the on-site Coulomb repulsion U on a band insulator using dynamical mean field theory (DMFT). We find the surprising result that the gap is suppressed to zero at a critical Uc1 and remains zero within a metallic…

Strongly Correlated Electrons · Physics 2009-11-11 Arti Garg , H. R. Krishnamurthy , Mohit Randeria

The magnetic properties of transition-like metals are discussed within the single site approximation, which is a picture to take into account electron correlations. The metal is described by two hybridized bands one of which includes…

Strongly Correlated Electrons · Physics 2010-07-05 C. M. Chaves , A. Troper

I investigate band and Mott insulating states in a two-band Hubbard model, with the aim of understanding the differences between the idealised one-orbital model and the more realistic multi-band case. Using a projection ansatz I show that…

Strongly Correlated Electrons · Physics 2009-11-13 J. P. Hague

We study a model of a covalent band insulator with on-site Coulomb repulsion at half-filling using dynamical mean-field theory. Upon increasing the interaction strength the system undergoes a discontinuous transition from a correlated band…

Strongly Correlated Electrons · Physics 2009-10-16 Michael Sentef , Jan Kunes , Philipp Werner , Arno P. Kampf

We present the results of numerical studies for selected materials with strongly correlated electrons using a combination of the local-density approximation and dynamical mean-field theory (DMFT). For the solution of the DMFT equations a…

Strongly Correlated Electrons · Physics 2011-02-11 Arno P. Kampf , Marcus Kollar , Jan Kunes , Michael Sentef , Dieter Vollhardt

The interaction-driven insulator-to-metal transition has been reported in the ionic Hubbard model (IHM) for moderate interaction $U$, while its metallic phase only occupies a narrow region in the phase diagram. To explore the enlargement of…

Strongly Correlated Electrons · Physics 2016-04-13 Mi Jiang , T. C. S. Schulthess

In this work we present a comparative investigation of the electronic structures of NbO$_2$ and VO$_2$ obtained within the combination of density functional theory and cluster-dynamical mean field theory calculations. We investigate the…

Strongly Correlated Electrons · Physics 2017-11-08 W. H. Brito , M. C. O. Aguiar , K. Haule , G. Kotliar
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