New approach to Periodic Anderson Model

Moskalenko, V. A.; Digor, D. F.; Dogotaru, L.; Porcescu, I.

doi:10.1007/bf00768455

Cited by 5 publications

(1 citation statement)

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“…The metallic aspects of electrons and the electron duality that effect the electronic, magnetic and other properties of elements were manifested clearly. The basic models to describe correlated electron systems are the single-impurity Anderson model (SIAM), 1,2,35,56,58,59 periodic Anderson model (PAM) 60 and the Hubbard model which exhibit the key physical feature, i.e., the competition between kinetic energy (itinerant) and potential energy (localized) effects. 5,41,42 Indeed, the standard approach which is valid mainly for the simple and noble metals is provided by the band theory formalism for the calculation of the electronic structure of solids.…”

Section: Introductionmentioning

confidence: 99%

Electronic Dynamics of the Anderson Model. The Many-Body Approach

Kuzemsky

2015

Preprint

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A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of chemisorption and adsorbate reactions on metal surfaces, physics of intermediate valence systems, theory of heavy fermions, physics of quantum dots and other nanostructures. While standard treatments are generally based on perturbation methods, our approach is based on the non-perturbative technique for the thermodynamic Green functions. The method of the irreducible Green functions is used as the basic tool. This irreducible Green functions method allows one to describe the quasiparticle spectra with damping of the strongly correlated electron systems in a very general and natural way and to construct the relevant dynamical solution in a self-consistent way on the level of Dyson equation without decoupling the chain of the equations of motion for the Green functions. The subject matter includes the improved interpolating solution of the Anderson model. It was shown that an interpolating approximation, which simultaneously reproduces the weak-coupling limit up to second order in the interaction strength U and the strong-coupling limit up to second order in the hybridization V (and thus also fulfils the atomic limit) can be formulated self-consistently. This approach offers a new way for the systematic construction of approximate interpolation dynamical solutions of strongly correlated electron systems.

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