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We develop an analytical expression for the self-energy of the infinite-dimensional Hubbard model that is correct in a number of different limits. The approach represents a generalization of the iterative perturbation theory to arbitrary…

Strongly Correlated Electrons · Physics 2009-10-30 M. Potthoff , T. Wegner , W. Nolting

High entropy alloys (HEA) represent a class of materials with promising properties, such as high strength and ductility, radiation damage tolerance, etc. At the same time, a combinatorially large variety of compositions and a complex…

Materials Science · Physics 2025-10-03 Franco Moitzi , Lorenz Romaner , Andrei V. Ruban , Oleg E. Peil

A self-consistent spectral density approach (SDA) is applied to the Hubbard model to investigate the possibility of spontaneous ferro- and antiferromagnetism. Starting point is a two-pole ansatz for the single-electron spectral density, the…

Strongly Correlated Electrons · Physics 2009-10-30 T. Herrmann , W. Nolting

We present results of systematic fully relativistic first-principles calculations of the uniaxial magnetic anisotropy energy (MAE) of a disordered and partially ordered tetragonal Fe-Co alloy using the coherent potential approximation…

Materials Science · Physics 2012-12-04 Ilja Turek , Josef Kudrnovsky , Karel Carva

We consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an…

Disordered Systems and Neural Networks · Physics 2008-12-28 Peter Henseler , Johann Kroha , Boris Shapiro

The magnetic behavior of thin ferromagnetic itinerant-electron films is investigated within the strongly correlated single-band Hubbard model. For its approximate solution we apply a generalization of the modified alloy analogy (MAA) to…

Strongly Correlated Electrons · Physics 2009-10-31 T. Herrmann , W. Nolting

Magnetic and electronic properties of the Hubbard model on the Bethe and fcc lattices in infinite dimensions have been investigated numerically on the basis of the dynamical coherent potential approximation (CPA) theory combined with the…

Strongly Correlated Electrons · Physics 2011-04-22 Toshihito Tamashiro , Shota Nohara , Keisuke Miyagi , Yoshiro Kakehashi

We introduce a new aproximation scheme for the periodic Anderson model (PAM). The modified alloy approximation represents an optimum alloy approximation for the strong coupling limit, which can be solved within the CPA-formalism.…

Strongly Correlated Electrons · Physics 2009-10-31 G G Reddy , D Meyer , S Schwieger , A Ramakanth , W Nolting

Using a combination of numerical and analytical calculations, we study the disorder-induced zero bias anomaly (ZBA) in the density of states of strongly-correlated systems modeled by the two dimensional Anderson-Hubbard model. We find that…

Strongly Correlated Electrons · Physics 2015-05-20 Hong-Yi Chen , R. Wortis , W. A. Atkinson

High entropy alloys (HEA) show promise as a new type of high-performance structural material. Their vast degrees of freedom provide for extensive opportunities to design alloys with tailored properties. However, the compositional…

Disordered Systems and Neural Networks · Physics 2019-04-19 Qi Jie , Andrew Cheung , S. Joseph Poon

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

An essentially exact solution of the infinite dimensional Hubbard model is made possible by using a self-consistent mapping of the Hubbard model in this limit to an effective single impurity Anderson model. Solving the latter with quantum…

Condensed Matter · Physics 2009-10-22 M. Jarrell , Thomas Pruschke

We propose a new treatment of the Hubbard model that is based both on the coherent-potential approximation (CPA) and the virtual-crystal approximation (VCA). It is well known that the equilibrium found using the one-particle CPA Green's…

Strongly Correlated Electrons · Physics 2007-05-23 A. Uldry , R. J. Elliott

Physical insight into plasma evolution in the magnetohydrodynamic (MHD) limit can be revealed by decomposing the evolution according to the characteristic modes of the system. In this paper we explore aspects of the eigenenergy…

Solar and Stellar Astrophysics · Physics 2024-10-10 Abbas Raboonik , David Pontin , Lucas Tarr

In the binary-alloy with composition A$_x$B$_{1-x}$ of two atoms with ionic energy scales $\pm\Delta$, an apparent Ander- son insulator (AI) is obtained as a result of randomness in the position of atoms. Using our recently developed…

Strongly Correlated Electrons · Physics 2019-01-09 Elaheh Adibi , Alireza Habibi , S. A. Jafari

We study the effect of strong correlations on the zero bias anomaly (ZBA) in disordered interacting systems. We focus on the two-dimensional extended Anderson-Hubbard model, which has both on-site and nearest-neighbor interactions on a…

Strongly Correlated Electrons · Physics 2009-09-10 Yun Song , S. Bulut , R. Wortis , W. A. Atkinson

High-entropy alloys (HEAs) refer to alloys composed of five or more elements in equal or near-equal amounts or in an atomic concentration range of 5 to 35 atomic percent (at%). Different elemental ratios will affect the microstructures of…

Materials Science · Physics 2025-02-25 Shiyi Chen , Xuesong Fan , Hugh Shortt , Baldur Steingrimsson , Weidong Li , Peter Liaw

Momentum dependent local-ansatz wavefunction approach (MLA) to the correlated electron systems in solids has been further developed to solve best a self-consistent equation for variational parameters at non half-filling. With use of the…

Strongly Correlated Electrons · Physics 2015-05-30 M. Atiqur R. Patoary , Yoshiro Kakehashi

Designing high-entropy alloys (HEAs) that are both mechanically hard and possess soft magnetic properties is inherently challenging, as a trade-off is needed for mechanical and magnetic properties. In this study, we optimize HEA…

We compute the self-energy for the half-filled Hubbard model on a square lattice using lattice quantum Monte Carlo simulations and the dynamical vertex approximation. The self-energy is strongly momentum dependent, but it can be…

Strongly Correlated Electrons · Physics 2016-05-30 Petra Pudleiner , Thomas Schäfer , Daniel Rost , Gang Li , Karsten Held , Nils Blümer
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