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We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a…

强关联电子 · 物理学 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller

We present an extension of the non-crossing approximation (NCA), which is widely used to calculate properties of Anderson impurity models in the limit of infinite Coulomb repulsion $U\to\infty$, to the case of finite $U$. A self-consistent…

强关联电子 · 物理学 2009-11-07 K. Haule , S. Kirchner , J. Kroha , P. Wölfle

In this work, we develop a non-equilibrium steady-state non-crossing approximation (NESS-NCA) impurity solver applicable to general impurity problems. The choice of the NCA as the impurity solver enables both a more accurate description of…

强关联电子 · 物理学 2025-01-06 Beomjoon Goh , Junwon Kim , Hongchul Choi , Ji Hoon Shim

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

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 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

The Dynamical Cluster Approximation (DCA) is modified to include disorder. The DCA incorporates non-local corrections to local approximations such as the Coherent Potential Approximation (CPA) by mapping the lattice problem with disorder,…

无序系统与神经网络 · 物理学 2009-10-31 M. Jarrell , H. R. Krishnamurthy

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

The formation and motion of lattice defects such as cracks, dislocations, or grain boundaries, occurs when the lattice configuration loses stability, that is, when an eigenvalue of the Hessian of the lattice energy functional becomes…

数值分析 · 数学 2015-05-13 Matthew Dobson , Mitchell Luskin , Christoph Ortner

In the present work, we calculate the conductance through a single quantum dot weakly coupled to metallic contacts. We use the spin-1/2 Anderson model to describe the quantum dot, while considering a finite Coulomb repulsion. We solve the…

强关联电子 · 物理学 2015-05-19 Leandro Tosi , Pablo Roura-Bas , Ana Maria Llois , Luis O. Manuel

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

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 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…

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 develop a highly accurate analytic approximation for small-scale non-cold relic perturbations by solving the collisionless Boltzmann equation in the quasi-stationary regime. The approximation is implemented in CLASSIER (CLASS Integral…

宇宙学与河外天体物理 · 物理学 2025-11-20 Nanoom Lee , Yacine Ali-Haïmoud , Marc Kamionkowski

The local approach to computing electrostatic interactions proposed by Maggs and adapted by Pasichnyk for molecular dynamics simulations is extended to situations where the dielectric background medium is inhomogeneous. We furthermore…

计算物理 · 物理学 2014-12-10 Florian Fahrenberger , Christian Holm

The dynamical cluster approximation (DCA) is a systematic extension beyond the single site approximation in dynamical mean field theory (DMFT), to include spatially non-local correlations in quantum many-body simulations of strongly…

强关联电子 · 物理学 2013-11-27 Peter Staar , Thomas Maier , Thomas C. Schulthess

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

Self-interaction error (SIE), arising from the imperfect cancellation of the spurious classical Coulomb interaction between an electron and itself, is a persistent challenge in modern density functional approximations. This issue is…

We propose a fast impurity solver for the general quantum impurity model based on the perturbation theory around the atomic limit, which can be used in combination with the local density approximation (LDA) and the dynamical mean field…

强关联电子 · 物理学 2009-11-10 Xi Dai , Kristjan Haule , Gabriel Kotliar
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