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The strong electron correlations caused by Coulomb interaction of impurity electrons are taken into account. The infinite series of diagrams containing irreducible Green's functions are summed. For symmetric Anderson model we establish the…

强关联电子 · 物理学 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

Resonances which result from perturbation of embedded eigenvalues are studied by time dependent methods. A general theory is developed, with new and weaker conditions, allowing for perturbations of threshold eigenvalues and relaxed Fermi…

数学物理 · 物理学 2009-10-31 O. Costin , A. Soffer

An estimate on the operator norm of an abstract fermionic renormalization group map is derived. This abstract estimate is applied in another paper to construct the thermodynamic Green's functions of a two dimensional, weakly coupled fermion…

数学物理 · 物理学 2007-05-23 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

We report an implementation of self-consistent Green's function many-body theory within a second-order approximation (GF2) for application with molecular systems. This is done by iterative solution of the Dyson equation expressed in matrix…

化学物理 · 物理学 2016-11-15 Jordan J. Phillips , Dominika Zgid

Fermi's Golden Rule (FGR) applies in the limit where an initial quantum state is weakly coupled to a {\it continuum} of other final states overlapping its energy. Here we investigate what happens away from this limit, where the set of final…

量子物理 · 物理学 2022-10-26 Tobias Micklitz , Alan Morningstar , Alexander Altland , David A. Huse

We study the one-dimensional S=1 Blume-Emery-Griffiths model. Upon transforming the spin model into an equivalent fermionic model, we provide the exact solution within the Green's function and equations of motion formalism. We show that the…

强关联电子 · 物理学 2008-09-09 F. Mancini , F. P. Mancini

We express connected Fermionic Green's functions in terms of completely explicit tree formulas. In contrast with the ordinary formulation in terms of Feynman graphs these formulas allow a completely transparent proof of convergence of the…

超导电性 · 物理学 2007-05-23 A. Abdesselam , V. Rivasseau

We present a Fermi golden rule giving rates of decay of states obtained by perturbing embedded eigenvalues of a quantum graph. To illustrate the procedure in a notationally simpler setting we also present a Fermi Golden Rule for boundary…

数学物理 · 物理学 2016-09-13 Minjae Lee , Maciej Zworski

An exact expression is derived for the electron Green function in two-channel Kondo models with one and two impurities, describing the crossover from non-Fermi liquid (NFL) behavior at intermediate temperatures to standard Fermi liquid (FL)…

强关联电子 · 物理学 2012-06-19 Andrew K. Mitchell , Eran Sela

We consider an Anderson impurity model in which the locally correlated orbital is coupled to a host with a gapped density of states. Single-particle dynamics are studied, within a perturbative framework that includes both explicit…

强关联电子 · 物理学 2009-02-26 Martin R. Galpin , David E. Logan

Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green's functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning…

高能物理 - 理论 · 物理学 2011-02-03 Daniel R. Gulotta , Christopher P. Herzog , Matthias Kaminski

The Green-function technique, termed the irreducible Green functions (IGF) method, that is a certain reformulation of the equation-of motion method for double-time temperature dependent Green functions is presented. This method was…

强关联电子 · 物理学 2007-05-23 A. L. Kuzemsky

We summarize results on the asymptotics of the two-particle Green functions of interacting electrons in one dimension. Below a critical value of the chemical potential the Fermi surface vanishes, and the system can no longer be described as…

凝聚态物理 · 物理学 2007-05-23 F. Göhmann

Accurate modeling of the electronic structure of warm dense matter is a challenging problem whose solution would allow a better understanding of material properties like equation of state, opacity, and conductivity, with resulting…

等离子体物理 · 物理学 2021-07-14 M. Laraia , C. Hanson , N. R. Shaffer , D. Saumon , D. P. Kilcrease , C. E. Starrett

We present semiclassical approximations to Green's functions of multidimensional systems, extending Gutzwiller's work to the classically forbidden region. Based on steepest-descent integrals over these functions, we derive an instanton…

化学物理 · 物理学 2015-10-08 Jeremy O. Richardson , Rainer Bauer , Michael Thoss

We consider the cumulant expansion of the PAM employing the hybridization as perturbation (Phys. Rev. B 50, 17933 (1994)), and we obtain formally exact one-electron Green's functions (GF). These GF contain effective cumulants that are as…

强关联电子 · 物理学 2010-07-13 M. E. Foglio , T. Lobo , M. S. Figueira

The analytical gradient for periodic systems is presented, for the case of metallic systems. The total energy and the free energy are computed on the Hartree-Fock or density functional level, with the wave function being expanded in terms…

材料科学 · 物理学 2012-04-25 K. Doll

The impurity Green's function Gf in the local non-Fermi liquid state is evaluated by means of the continuous-time quantum Monte Carlo method extended to the multichannel Anderson model. For N=M (where N and M are numbers of spin components…

强关联电子 · 物理学 2015-05-20 Junya Otsuki

Mittag-Leffler analysis is an infinite dimensional analysis with respect to non-Gaussian measures of Mittag-Leffler type which generalizes the powerful theory of Gaussian analysis and in particular white noise analysis. In this paper we…

泛函分析 · 数学 2015-06-10 Martin Grothaus , Florian Jahnert

For a three-electron system with finite-strength interactions confined to a one-dimensional harmonic trap, we solve the Schroedinger equation analytically to obtain the exact solutions, from which we construct explicitly the simultaneous…

介观与纳米尺度物理 · 物理学 2018-11-14 Taichi Kosugi , Yu-ichiro Matsushita