Tight Binding and Transition-Metal Superconductivity

Barišić, S.; Labbé, J.; Friedel, J.

doi:10.1103/physrevlett.25.919

Cited by 245 publications

(90 citation statements)

References 11 publications

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“…Since electron-phonon interactions involve generic wavevectors with trivial little groups, it would seem that symmetry considerations can not be very helpful in that case. Indeed, many computations of electronphonon interactions are based on the use of specific models (electron-ion interactions, 5,6 modulated hoppings, 7,8,9 phonon modulated electron-electron interactions, 10 etc), and little or no use is made of the symmetries of the system.…”

Section: 2mentioning

confidence: 99%

Symmetry-based approach to electron-phonon interactions in graphene

2007

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We use the symmetries of monolayer graphene to write a set of constraints that must be satisfied by any electron-phonon interaction hamiltonian. The explicit solution as a series expansion in the momenta gives the most general, model-independent couplings between electrons and long wavelength acoustic and optical phonons. As an application, the possibility of describing elastic strains in terms of effective electromagnetic fields is considered in detail, with an emphasis on group theory conditions and the role of time reversal symmetry.

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Section: 2mentioning

confidence: 99%

Symmetry-based approach to electron-phonon interactions in graphene

2007

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“…For narrow tight-binding bands in the organics, the attraction is strongest for backscattering processes in which 2k F phonons are exchanged. 110,111 According to the results of X-ray experiments performed on (TMTSF) 2 X, however, the electron-phonon vertex at this wave vector does not undergo any significant increase in the normal state (Fig. 8).…”

Section: Microscopic Theories Of the Superconducting Statementioning

confidence: 81%

Superconductivity and antiferromagnetism in quasi-one-dimensional organic conductors (Review Article)

Dupuis

Bourbonnais

Nickel

2006

Low Temperature Physics

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We review the current understanding of superconductivity in the quasi-onedimensional organic conductors of the Bechgaard and Fabre salt families.We discuss the interplay between superconductivity, antiferromagnetism, and charge-density-wave fluctuations. The connection to recent experimental observations supporting unconventional pairing and the possibility of a tripletspin order parameter for the superconducting phase is also presented.

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“…We should also remark that some work has also been done on the Barišić-Labbé-Friedel model [17] (also known as the SSH (Su-Schrieffer-Heeger) model [18]), where dispersion in the phonon spectrum exists at the start. This model may be distinct from other cases where phonons are broadened due to the electron-phonon interaction itself or anharmonicity, since it contains sharp dispersive modes vs. individually broadened dispersive modes.…”

Section: Discussionmentioning

confidence: 99%

Self-consistent modification to the electron density of states due to electron-phonon coupling in metals

Doğan

Marsiglio

2003

Phys. Rev. B

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The "standard" theory of a normal metal consists of an effective electron band which interacts with phonons and impurities. The effects due to the electron-phonon interaction are often delineated within the Migdal approximation; the properties of many simple metals are reasonably well described with such a description. On the other hand, if the electron-phonon interaction is sufficiently strong, a polaron approach is more appropriate. The purpose of this paper is to examine to what degree the Migdal approximation is self-consistent, as the coupling strength increases. We find that changes in the electron density of states become significant for very large values of the coupling strength; however, there is no critical value, nor even a crossover regime where the Migdal approximation has become inconsistent. Moreover, the extent to which the electron band collapses is strongly dependent on the detailed characteristics of the phonon spectrum.

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Tight Binding and Transition-Metal Superconductivity

Cited by 245 publications

References 11 publications

Symmetry-based approach to electron-phonon interactions in graphene

Symmetry-based approach to electron-phonon interactions in graphene

Superconductivity and antiferromagnetism in quasi-one-dimensional organic conductors (Review Article)

Self-consistent modification to the electron density of states due to electron-phonon coupling in metals

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