Local-phonon model of strong electron-phonon interactions inA15compounds and other strong-coupling superconductors

1984 ◽  
Vol 29 (11) ◽  
pp. 6165-6186 ◽  
Author(s):  
Clare C. Yu ◽  
P. W. Anderson
2021 ◽  
pp. 2150190
Author(s):  
S. Dzhumanov ◽  
S. S. Sabirov ◽  
E. X. Karimbaev ◽  
J. Sh. Rashidov ◽  
D. S. Djumanov ◽  
...  

The formation of large polarons and bipolarons and related in-gap states in lightly-doped cuprates is studied in the strong electron–phonon coupling regime. The ground-state energies, binding energies and binding radius of strong-coupling large (bi)polarons are calculated using the continuum model and adiabatic approximation taking into account both the short- and long-range electron–phonon interactions. The obtained results show that the binding energies of such large (bi)polarons in the cuprates are progressively increased with decrease in the high frequency dielectric constant [Formula: see text] and ratio [Formula: see text] (where [Formula: see text] is the static dielectric constant). As a result, large (bi)polarons become nearly small (bi)polarons. It is shown that hole carriers strongly interact with acoustic and optical phonons and their self-trapping leads to the formation of (bi)polaronic states in the charge-transfer (CT) gap of the cuprates. As the cuprate system is doped, the CT gap of the parent compound is filled in with low-energy (bi)polaronic states. The calculated energies of such (bi)polaronic states are in good agreement with the experimentally observed energies of new states appearing in the CT gap of the parent cuprates. The calculated values of the binding radius of large polarons are also well consistent with the existing experimental data.


1996 ◽  
Vol 10 (08) ◽  
pp. 353-358 ◽  
Author(s):  
YONG-JIHN KIM

In the electron–phonon model, the influence of nonmagnetic impurities on the transition temperature of superconductors is revisited. Anderson’s pairing condition between time-reversed eigenstate pairs is derived from the physical constraint of the Anomalous Green’s function. After this pairing condition is incorporated into the self-consistency equation, one may find that the phonon-mediated interaction decreases exponentially by localization.


1970 ◽  
Vol 48 (23) ◽  
pp. 2809-2811 ◽  
Author(s):  
Klaus D. Usadel

The electromagnetic response of superconducting alloys in the electron–phonon model is investigated for situations where the electric field is parallel to the static magnetic field. It is shown that for ordinary microwave frequencies strong-coupling only renormalizes physical quantities, but does not change the form of the weak-coupling response function.


1982 ◽  
Vol 85 (1) ◽  
pp. 225-231
Author(s):  
G. Croteau ◽  
Amir Lakhani ◽  
N. K. Hota

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