Modified Tight-Binding Approximation and Electron-Phonon Spectral Function for Transition Metals

Kuzemsky, A. L.; Zhernov, A. P.

doi:10.1142/s0217979290000681

Cited by 9 publications

(13 citation statements)

References 3 publications

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“…In this section we consider the generalized d−f model, which describe the localized 4f (5f )-spins interacting with d-like tightbinding itinerant electrons and take into consideration the electron-electron and electron-phonon interaction in the framework of MTBA [28], [29]. The total Hamiltonian of the model is given by…”

Section: Irreducible Green's Functions Methodsmentioning

confidence: 99%

“…It is the purpose of this paper to explore more fully the notion of Generalized Mean Fields (GMF) [12] which may arise in the system of interacting localized spins and lattice fermions to justify and understand the "nature" of relevant mean-fields and damping effects. It is worthy to emphasize that in order to understand quantitatively the electrical, thermal and superconducting properties of metals and their alloys one needs a proper description an electron-lattice interaction too [27]- [29]. A systematic, self-consistent simultaneous treatment of the electron-electron and electron-phonon interaction plays an important role in recent studies of strongly correlated systems [24].…”

Section: Introductionmentioning

confidence: 99%

“…A systematic, self-consistent simultaneous treatment of the electron-electron and electron-phonon interaction plays an important role in recent studies of strongly correlated systems [24]. The natural approach for the description of electron-lattice effects in such type of compounds is the Modified TightBinding Approximation (MTBA) [28], [29]. We shall consider here the effects of electron-lattice interaction within the spin-fermion model approach.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Spectral Properties of the Generalized Spin-Fermion Models

2017

Statistical Mechanics and the Physics of Many-Particle Model Systems

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In order to account for competition and interplay of localized and itinerant magnetic behaviour in correlated many body systems with complex spectra the various types of spin-fermion models have been considered in the context of the Irreducible Green's Functions (IGF) approach. Examples are generalized d − f model and KondoHeisenberg model. The calculations of the quasiparticle excitation spectra with damping for these models has been performed in the framework of the equation-of-motion method for two-time temperature Green's Functions within a non-perturbative approach. A unified scheme for the construction of Generalized Mean Fields (elastic scattering corrections) and self-energy (inelastic scattering) in terms of the Dyson equation has been generalized in order to include the presence of the two interacting subsystems of localized spins and itinerant electrons. A general procedure is given to obtain the quasiparticle damping in a self-consistent way. This approach gives the complete and compact description of quasiparticles and show the flexibility and richness of the generalized spin-fermion model concept.

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Section: Irreducible Green's Functions Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spectral Properties of the Generalized Spin-Fermion Models

2017

Statistical Mechanics and the Physics of Many-Particle Model Systems

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“…For small displacements u i , we may expand t( R) as Using the character of the exponential decrease of the Slater and Wannier functions the following approximation may be used [125][126][127] ∂t( R)…”

Section: Modified Tight-binding Approximationmentioning

confidence: 99%

Electronic Transport in Metallic Systems and Generalized Kinetic Equations

Kuzemsky

2011

Int. J. Mod. Phys. B

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This paper reviews some selected approaches to the description of transport properties, mainly electroconductivity, in crystalline and disordered metallic systems. A detailed qualitative theoretical formulation of the electron transport processes in metallic systems within a model approach is given. Generalized kinetic equations which were derived by the method of the nonequilibrium statistical operator are used. Tight-binding picture and modified tightbinding approximation (MTBA) were used for describing the electron subsystem and the electron-lattice interaction correspondingly. The low-and high-temperature behavior of the resistivity was discussed in detail. The main objects of discussion are nonmagnetic (or paramagnetic) transition metals and their disordered alloys. The choice of topics and the emphasis on concepts and model approach makes it a good method for a better understanding of the electrical conductivity of the transition metals and their disordered binary substitutional alloys, but the formalism developed can be applied (with suitable modification), in principle, to other systems. The approach we used and the results obtained complements the existent theories of the electrical conductivity in metallic systems. The present study extends the standard theoretical format and calculation procedures in the theories of electron transport in solids.Keywords: Transport phenomena in solids; electrical conductivity in metals and alloys; transition metals and their disordered alloys; tight-binding and modified tight-binding approximation; method of the nonequilibrium statistical operator; generalized kinetic equations.

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Section: Introductionmentioning

confidence: 99%

Spectral Properties of the Generalised Spin-Fermion Models

Kuzemsky

1999

Int. J. Mod. Phys. B

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In order to account for competition and interplay of localized and itinerant magnetic behaviour in correlated many body systems with complex spectra the various types of spin-fermion models have been considered in the context of the Irreducible Green's Functions (IGF) approach. Examples are generalized d − f model and Kondo-Heisenberg model. The calculations of the quasiparticle excitation spectra with damping for these models has been performed in the framework of the equation-of-motion method for two-time temperature Green's Functions within a non-perturbative approach. A unified scheme for the construction of Generalized Mean Fields (elastic scattering corrections) and self-energy (inelastic scattering) in terms of the Dyson equation has been generalized in order to include the presence of the two interacting subsystems of localized spins and itinerant electrons. A general procedure is given to obtain the quasiparticle damping in a self-consistent way. This approach gives the complete and compact description of quasiparticles and show the flexibility and richness of the generalized spin-fermion model concept.

show abstract

Modified Tight-Binding Approximation and Electron-Phonon Spectral Function for Transition Metals

Cited by 9 publications

References 3 publications

Spectral Properties of the Generalized Spin-Fermion Models

Spectral Properties of the Generalized Spin-Fermion Models

Electronic Transport in Metallic Systems and Generalized Kinetic Equations

Spectral Properties of the Generalised Spin-Fermion Models

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