Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons

Moskalenko, V. A.; Entel, P.; Marinaro, M.; Digor, D. F.

doi:10.1134/1.1618349

Cited by 6 publications

(5 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We consider now the most interesting case, namely superconductivity of correlated electrons coupled to dispersive acoustical phonons. This investigation differs from our previous studies [14][15][16][17][18][19] of electrons coupled to dispersionless optical phonons, which was addressed by most other authors [20][21][22][23] .…”

Section: Introductioncontrasting

confidence: 91%

“…(24a) by one in which the region of integration is limited to the two small intervals (0, τ 0 ) and (β − τ 0 , β). In these intervals insertion of the expansions (19) lead to…”

Section: Appendix A: Laplace Approximationmentioning

confidence: 99%

“…In the strong electron-phonon cou-pling limit, the resulting Hamiltonian of hopping polarons (i.e., hopping electrons surrounded by phonon clouds) can lead to an attractive interaction among electrons meditated by the phonons. In this limit, the chemical potential, the on-site and inter-site Coulomb energies as well as the frequency of the collective phononcloud mode (which is much larger than the bare acoustical phonon frequencies) are strongly renormalized [17][18][19] . This affects the dynamical properties of the polarons and the character of the superconducting transition.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Interaction of strongly correlated electrons and acoustical phonons

Moskalenko

Entel

Digor

2006

Low Temperature Physics

Self Cite

View full text Add to dashboard Cite

We investigate the interaction of correlated electrons with acoustical phonons using the extended Hubbard-Holstein model in which both, the electron-phonon interaction and the on-site Coulomb repulsion are considered to be strong. The Lang-Firsov canonical transformation allows to obtain mobile polarons for which a new diagram technique and generalized Wick's theorem is used. This allows to handle the Coulomb repulsion between the electrons emerged into a sea of phonon fields (\textit{phonon clouds}). The physics of emission and absorption of the collective phonon-field mode by the polarons is discussed in detail. Moreover, we have investigated the different behavior of optical and acoustical phonon clouds when propagating through the lattice. In the strong-coupling limit of the electron-phonon interaction, and in the normal as well as in the superconducting phase, chronological thermodynamical averages of products of acoustical phonon-cloud operators can be expressed by one-cloud operator averages. While the normal one-cloud propagator has the form of a Lorentzian, the anomalous one is of Gaussian form and considerably smaller. Therefore, the anomalous electron Green's functions can be considered to be more important than corresponding polarons functions, i.e., pairing of electrons without phonon-clouds is easier to achieve than pairing of polarons with such clouds.Comment: : 28 pages, 9 figures, revtex4. Invited paper for a special issue of Low Temperature Physics dedicated to the 20th anniversary of HTS

show abstract

Section: Introductioncontrasting

confidence: 91%

“…(24a) by one in which the region of integration is limited to the two small intervals (0, τ 0 ) and (β − τ 0 , β). In these intervals insertion of the expansions (19) lead to…”

Section: Appendix A: Laplace Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Interaction of strongly correlated electrons and acoustical phonons

Moskalenko

Entel

Digor

2006

Low Temperature Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…This question is the special problem of strongly correlated electron system and has been studied in many papers [8][9][10][11][12][13][14][15][16][17].…”

Section: Correlation Function For Anderson Impurity Modelmentioning

confidence: 99%

The theory of nonequilibrium Anderson impurity model for strongly correlated electron systems

Moskalenko

Dohotaru

Digor

2015

Low Temperature Physics

Self Cite

View full text Add to dashboard Cite

The nonequilibrium theory of strongly correlated systems is proposed theory which is grounded on the generalized Wick theorem. This theorem is employed for calculation of the thermal averages of the contour arranged products of electron operators by generalizing Keldysh formalism. Perturbation expansion is realized for Anderson impurity model in which we consider the Coulomb interaction of the impurity electrons as a main parameter of the model and the mixing interaction between impurity and conduction electrons as a perturbation. The first two approximations are used and is obtained the value of the current between one of the leads and central region of interacting electrons. The contribution of the strong correlations and of irreducible diagrams is analyzed.

show abstract

“…Из теоретических исследований ясно, что чисто электрон-фононный механизм образования куперовских пар маловероятен, однако некоторые исследователи полагают, что он благоприятствует формированию сверхпроводящих пар электронов, а ряд других [23][24][25] считают, что он может непосредственно участвовать в механизме образования сверхпроводящих пар.…”

Section: Introductionunclassified

Systems of Strongly Correlated Electrons Interacting with Each Other and with Phonons. Diagram Approach

Chebotari

2023

EOM

View full text Add to dashboard Cite

The features of materials leading to the effect of strong correlation and the phenomena realized in them, namely, the metal-insulator Mott transition and high-temperature superconductivity, were considered. The history of their study was traced. Special attention was paid to the study of the role of the interorbital correlation effect and Hund’s coupling in multi-orbital systems, as well as of the electron-phonon interaction in the systems with both strong electron-phonon and Coulomb interactions. The development of the method of the diagram technique of a strong coupling was analyzed, and the results obtained on the base of that approach are presented.

show abstract

Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons

Cited by 6 publications

References 27 publications

Interaction of strongly correlated electrons and acoustical phonons

Interaction of strongly correlated electrons and acoustical phonons

The theory of nonequilibrium Anderson impurity model for strongly correlated electron systems

Systems of Strongly Correlated Electrons Interacting with Each Other and with Phonons. Diagram Approach

Contact Info

Product

Resources

About