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The LDA+DMFT method is a very powerful tool for gaining insight into the physics of strongly correlated materials. It combines traditional ab-initio density-functional techniques with the dynamical mean-field theory. The core aspects of the…

Strongly Correlated Electrons · Physics 2017-11-22 Eva Pavarini

Trapping ultra-cold atoms in optical lattices provides a unique environment for investigating quantum phase transitions between strongly correlated superfluid and Mott insulator phases. One of the major complications in the analysis of…

Quantum Gases · Physics 2015-10-16 T. A. Zaleski , T. K. Kopec

Unscreened Hartree-Fock approximation (HFA) calculations for metallic Fe, Co, Ni, and Cu are presented, by using a quantum-chemical approach. We believe that these are the first HFA results to have been done for crystalline 3d transition…

Strongly Correlated Electrons · Physics 2009-11-10 I. Schnell , G. Czycholl , R. C. Albers

To apply the Hubbard-corrected density-functional theory for predicting some known materials' properties, the Hubbard parameters are usually so tuned that the calculations give results in agreement with some experimental data and then one…

Materials Science · Physics 2023-06-13 Mahmoud Payami , Samira Sheykhi , Mohammad-Reza Basaadat

Examining phase stabilities and phase equilibria in strongly correlated materials asks for a next level in the many-body extensions to the local-density approximation (LDA) beyond mainly spectroscopic assessments. Here we put the…

Materials Science · Physics 2013-04-26 Daniel Grieger , Christoph Piefke , Oleg E. Peil , Frank Lechermann

In non-self-consistent calculations of the total energy within the random-phase approximation (RPA) for electronic correlation, it is necessary to choose a single-particle Hamiltonian whose solutions are used to construct the electronic…

Materials Science · Physics 2016-01-28 Christopher E. Patrick , Kristian S. Thygesen

The ground-state magnetic phase diagram is calculated within the Hubbard and $s$-$d$ exchange (Kondo) models for square and simple cubic lattices vs. band filling and interaction parameter. The difference of the results owing to the…

Strongly Correlated Electrons · Physics 2017-07-11 P. A. Igoshev , M. A. Timirgazin , A. K. Arzhnikov , T. V. Antipin , V. Yu. Irkhin

We investigate the possibility and stability of bandferromagnetism in the single-band Hubbard model. This model poses a highly non-trivial many-body problem the general solution of which has not been found up to now. Approximations are…

Strongly Correlated Electrons · Physics 2007-05-23 W. Nolting , M. Potthoff , T. Herrmann , T. Wegner

We propose a non-perturbative numerical approach to calculate the spectrum of a many-body Hamiltonian with time and momentum resolution by exactly recreating a scattering event using the time-dependent Schr\"odinger equation. Akin an actual…

Strongly Correlated Electrons · Physics 2021-01-04 Krissia Zawadzki , Luhang Yang , Adrian E. Feiguin

The usual Hartree-Fock approximation to the Hubbard model is based on eigenstates of the electron number operator. But this formulation is not unique. A different (and inequivalent) version, formulated in terms of Nambu two-component…

Strongly Correlated Electrons · Physics 2024-09-04 Kazue Matsuyama , Jeff Greensite

Ab initio calculation of the electronic properties of materials is a major challenge for solid state theory. Whereas the experience of forty years has proven density functional theory (DFT) in a suitable, e.g. local approximation (LDA) to…

Strongly Correlated Electrons · Physics 2009-11-13 K. Held , O. K. Andersen , M. Feldbacher , A. Yamasaki , Y. -F. Yang

We present unrestricted Hartree Fock method coupled with configuration interaction (CI) method (URHF-CI) suitable for the calculation of ground and excited states of large number of electrons localized by complex gate potentials in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak

This paper reports an implementation of Hartree-Fock linear response with complex orbitals for computing electronic spectra of molecules in a strong external magnetic fields. The implementation is completely general, allowing for…

Chemical Physics · Physics 2019-02-01 Sangita Sen , Kai K. Lange , Erik I. Tellgren

To explore the formation of noncollinear magnetic configurations in materials with strongly correlated electrons, we derive a noncollinear LSDA+$U$ model involving only one parameter $U$, as opposed to the difference between the Hubbard and…

Strongly Correlated Electrons · Physics 2019-08-21 S. L. Dudarev , P. Liu , D. A. Andersson , C. R. Stanek , T. Ozaki , C. Franchini

We investigate features in the single-particle spectral function beyond the Hubbard bands in the strongly correlated normal phase of the Bose-Hubbard model. There are two distinct classes of additional peaks generated by the bosonic…

Quantum Gases · Physics 2015-12-10 Hugo U. R. Strand , Martin Eckstein , Philipp Werner

We describe a new microscopic approach for analyzing interacting electron systems with local moments or, in principle, any local order parameter. We specialize attention to the doped Mott insulator phase of the Hubbard model, where standard…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Bickers , D. J. Scalapino

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

Dynamical mean field theory (DMFT) combined with the local density approximation (LDA) is widely used in solids to predict properties of correlated systems. In this paper, its application to one of the simplest strongly correlated systems,…

Strongly Correlated Electrons · Physics 2015-05-18 Juho Lee , Kristjan Haule

Correlated many-body problems ubiquitously appear in various fields of physics such as condensed matter physics, nuclear physics, and statistical physics. However, due to the interplay of the large number of degrees of freedom, it is…

Strongly Correlated Electrons · Physics 2018-02-12 Hiroyuki Fujita , Yuya O. Nakagawa , Sho Sugiura , Masaki Oshikawa

The Haldane-Hubbard model is a prime example of the combined effects of band topology and electronic interaction. We revisit its spinful phase diagram at half-filling as a consensus on the presence of SU($2$) symmetry is currently lacking.…

Strongly Correlated Electrons · Physics 2024-01-17 Wan-Xiu He , Rubem Mondaini , Hong-Gang Luo , Xiaoqun Wang , Shijie Hu