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The non-crossing approximation (NCA) is generalized for the Anderson model with finite Coulomb repulsion U. Resummation of infinite number of terms is performed so as to incorporate all leading contributions in the limit of large degeneracy…

强关联电子 · 物理学 2007-05-23 J. Otsuki , Y. Kuramoto

The Anderson impurity model is studied by means of the self-consistent hybridization expansions in its non-crossing (NCA) and one-crossing (OCA) approximations. We have found that for the one-channel spin-$1/2$ particle-hole symmetric…

强关联电子 · 物理学 2016-09-21 C. N. Sposetti , L. O. Manuel , P. Roura-Bas

Self-consistent diagrammatic approximations to the Anderson or Kondo impurity model, using an exact pseudoparticle representation of the impurity states, are reviewed. We first discuss the infrared exponents of the pseudoparticle…

强关联电子 · 物理学 2009-11-10 J. Kroha , P. W"olfle

The M-channel Anderson impurity model (M=1,2) is studied in the Kondo limit with a finite voltage bias applied to the conduction electron reservoirs. Using the Non-Crossing Approximation (NCA), we calculate the local spectral functions, the…

介观与纳米尺度物理 · 物理学 2009-10-30 M. H. Hettler , J. Kroha , S. Hershfield

We present selected results from combined analytical and numerical studies of the Anderson-impurity model within the framework of infinite order perturbation theory with respect to the hybridization. Our approximation goes considerably…

凝聚态物理 · 物理学 2009-10-22 F. B. Anders , N. Grewe

The single impurity Anderson model (SIAM) is studied within an enhanced non-crossing approximation (ENCA). This method is extended to the calculation of susceptibilities and thoroughly tested, also in order to prepare applications as a…

强关联电子 · 物理学 2010-01-19 Sebastian Schmitt , Torben Jabben , Norbert Grewe

We investigate the dynamical properties of the two-channel Anderson model using the noncrossing approximation (NCA) supplemented by numerical renormalization-group calculations. We provide evidence supporting the conventional wisdom that…

强关联电子 · 物理学 2015-06-12 Farzaneh Zamani , Tathagata Chowdhury , Pedro Ribeiro , Kevin Ingersent , Stefan Kirchner

For the treatment of interacting electrons in crystal lattices approximations based on the picture of effective sites, coupled in a self-consistent fashion, have proven very useful. Particularly in the presence of strong local correlations,…

强关联电子 · 物理学 2008-09-19 Norbert Grewe , Sebastian Schmitt , Torben Jabben , Frithjof B. Anders

We have developed a self-consistent conserving pseudo particle approximation for the Anderson impurity model with finite Coulomb interaction, derivable from a Luttinger Ward functional. It contains an infinite series of skeleton diagrams…

强关联电子 · 物理学 2020-04-20 K. Haule , S. Kirchner , J. Kroha , P. Wölfle

The Anderson model of a twofold spin degenerate impurity level in the limit of infinite Coulomb repulsion, $U \to \infty$, coupled to one and two degenerate conduction bands or channels, is considered in pseudo-particle representation. We…

强关联电子 · 物理学 2016-08-16 S. Kirchner , J. Kroha , P. Wölfle

We calculate the Kondo temperature ($T_K$) and crystal-field levels of strongly correlated multiorbital systems solving the Anderson Impurity Model with the finite U Non-Crossing Approximation (UNCA) in its simplest scheme, that is,…

强关联电子 · 物理学 2007-11-27 P. Roura-Bas , V. Vildosola , L. O. Manuel , A. M. Llois

The method of continuous unitary transformations (CUTs) is applied to the Anderson impurity and the Kondo model aiming at the systematic derivation of convergent effective models. If CUTs are applied in a conventional way, diverging…

强关联电子 · 物理学 2015-03-03 Jörn Krones , Götz S. Uhrig

We present a method for calculating the full counting statistics of a nonequilibrium quantum system based on the propagator noncrossing approximation (NCA). This numerically inexpensive method can provide higher order cumulants for extended…

介观与纳米尺度物理 · 物理学 2021-04-07 André Erpenbeck , Emanuel Gull , Guy Cohen

The infinite-U Anderson model is applied to transport through a quantum dot. The current and density of states are obtained via the non-crossing approximation for two spin-degenerate levels weakly coupled to two leads. At low temperatures,…

凝聚态物理 · 物理学 2009-10-22 Ned S. Wingreen , Yigal Meir

The noncrossing approximation (NCA) is generalized to the multi-channel Kondo-spin Hamiltonian with arbitrary anisotropic exchange couplings and an external magnetic field, and applied -- in the framework of Matveev's mapping -- to the…

强关联电子 · 物理学 2009-11-07 Eran Lebanon , Avraham Schiller , Vilen Zevin

We solve the impurity problem which arises within nonequilibrium dynamical mean-field theory for the Hubbard model by means of a self-consistent perturbation expansion around the atomic limit. While the lowest order, known as the…

强关联电子 · 物理学 2013-05-29 Martin Eckstein , Philipp Werner

We calculate the conductance through a quantum dot weakly coupled to metallic leads, modeled by the spin-1/2 Anderson model with finite Coulomb repulsion $U$. We adopt the non-crossing approximation method in its finite-$U$ extension…

强关联电子 · 物理学 2009-11-07 D. Gerace , E. Pavarini , L. C. Andreani

We study the magnetic and superconducting instabilities of the periodic Anderson model with infinite Coulomb repulsion U in the random phase approximation. The Neel temperature and the superconducting critical temperature are obtained as…

强关联电子 · 物理学 2009-11-10 N. M. R. Peres , M. A. N. Araujo

We review a systematic many-body method capable of describing Fermi liquid and Non-Fermi liquid behavior of quantum impurity models at low temperatures on the same footing. The crossover to the high temperature local moment regime is…

强关联电子 · 物理学 2007-05-23 J. Kroha , P. Wölfle

We study the single impurity Anderson model (SIAM) using the equations of motion method (EOM), the non-crossing approximation (NCA), the one-crossing approximation (OCA), and Wilson's numerical renormalization group (NRG). We calculate the…

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