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A new type of perturbation expansion in the mixing $V$ of localized orbitals with a conduction-electron band in the $U\to\infty$ Anderson model is presented. It is built on Feynman diagrams obeying standard rules. The local correlations of…

Condensed Matter · Physics 2009-10-22 Jan Brinckmann

A new perturbational approach to spectral and thermal properties of strongly correlated electron systems is presented: The Anderson model is reexamined for $U\to\infty$\,, and it is shown that an expansion of Green's functions with respect…

Condensed Matter · Physics 2009-10-22 Jan Brinckmann

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy…

Disordered Systems and Neural Networks · Physics 2015-01-23 Johann Kroha

The self-consistent theory of Anderson localization of quantum particles or classical waves in disordered media is reviewed. After presenting the basic concepts of the theory of Anderson localization in the case of electrons in disordered…

Disordered Systems and Neural Networks · Physics 2015-05-18 P. Wölfle , D. Vollhardt

We study the Anderson disordered Hubbard model on the honeycomb lattice. The Hubbard term is han- dled with strong-coupling perturbation theory which encodes the Mott transition physics into a rich dynamical structure of a local…

Strongly Correlated Electrons · Physics 2018-12-06 Alireza Habibi , Elaheh Adibi , S. A. Jafari

A Slave-Boson perturbational approach to ground-state properties of the $U\to\infty$ periodic Anderson model is derived as an expansion around the Atomic Limit ($V=0$). In the case of zero temperature any constraint-integral or limiting…

Condensed Matter · Physics 2009-10-28 Jan Brinckmann

The strong-coupling perturbation theory (SCPT) for correlated electron systems is extended to the case of full Coulomb interaction. The Coulomb mechanism of the orbital polarization is discussed and attention is paid to the importance of…

Strongly Correlated Electrons · Physics 2007-05-23 I. Sandalov , U. Lundin , O. Eriksson

A diagrammatic theory around the atomic limit is proposed for the single-impurity Anderson model in which the strongly correlated impurity electrons hybridize with free (uncorrelated) conduction electrons. Using this diagrammatic approach,…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

The diagrammatic theory is proposed for the strongly correlated impurity Anderson model. The strongly correlated impurity electrons are hybridized with free conduction electrons. For this system the new diagrammatic approach is formulated.…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

Self-consistent perturbation expansion up to the second order in the interaction strength is used to study a single-level quantum dot with local Coulomb repulsion attached asymmetrically to two generally different superconducting leads. At…

Mesoscale and Nanoscale Physics · Physics 2016-02-02 Martin Žonda , Vladislav Pokorný , Václav Janiš , Tomáš Novotný

BCS theory accounts for the pairing instability in the weak coupling limit, but fails to describe pairing fluctuations above $T_c$. One possibility for describing these fluctuations in the dilute limit is the T-matrix approximation. We…

Superconductivity · Physics 2010-05-11 S. Verga , R. J. Gooding , F. Marsiglio

We provide and analyze a periodic Anderson model for studying magnetism and superconductivity in UTe$_2$, a recently-discovered candidate for a topological spin-triplet superconductor. The 24-band tight-binding model reproduces the band…

Superconductivity · Physics 2021-03-10 Jun Ishizuka , Youichi Yanase

We consider an Anderson lattice model with a spin 1/2 degenerated conduction electron band and localized ionic CEF-levels, classified according to the irreducible representation of the point group of the lattice. We present the…

Condensed Matter · Physics 2009-10-28 F. B. Anders , D. L. Cox

The Anderson model with the Coulomb interaction between the local and conduction electrons is studied in the semiconducting phase. Based on a perturbation theory from the atomic limit, leading contributions for the c-f Coulomb interaction…

Strongly Correlated Electrons · Physics 2009-11-13 Junya Otsuki

A self-consistent set of equations for the one-electron self-energy in the ladder approximation is derived for the attractive Hubbard model in the superconducting state. The equations provide an extension of a T-matrix formalism recently…

Superconductivity · Physics 2009-10-30 M. H. Pedersen , J. J. Rodriguez-Nunez , H. Beck , T. Schneider , S. Schafroth

A self-consistent theory for two-particle fluctuations with renormalized irreducible vertices is proposed. Using the Parquet formalism, we construct the fully antisymmetric full vertex in terms of the two-particle fluctuations in the…

Strongly Correlated Electrons · Physics 2015-05-19 Hiroaki Kusunose

UTe$_{2}$ is a strong candidate for a topological spin-triplet superconductor, and it is considered that the interplay of magnetic fluctuation and superconductivity is essential for the origin of the superconductivity. Despite various…

Superconductivity · Physics 2023-06-02 Ryuji Hakuno , Kosuke Nogaki , Youichi Yanase

A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

Chemical Physics · Physics 2024-05-03 Alexander V. Mironenko

In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for popularity of…

Strongly Correlated Electrons · Physics 2016-01-19 Yaroslav Pavlyukh , Jamal Berakdar , Angel Rubio

We use a scattering formalism to derive a condition of strong coupling between a resonant scatterer and an Anderson localized mode for electromagnetic waves in two dimensions. The strong coupling regime is demonstrated based on exact…

Optics · Physics 2015-06-15 Alexandre Cazé , Romain Pierrat , Rémi Carminati
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