The occurrence of retarded (with glue) and unretarded (without glue) pairing is thoroughly discussed in cuprates. We analyze some aspects of this problem in the context of the $t\text{\ensuremath{-}}J\text{\ensuremath{-}}V$ model in a large- $N$ approximation. When $1/N$ renormalizations are neglected the mean-field result is recovered, where the unretarded $d$ -wave superconducting pairing triggered by the spin-exchange interaction $J$ is obtained. However, the presence of a nonnegligible nearest-neighbors Coulomb interaction $V(\mathbf{q})$ kills superconductivity. If the non-double-occupancy constraint and its fluctuations are considered, the situation changes drastically. In this case, $V(\mathbf{q})$ is screened making $d$ -wave superconductivity very robust. In addition, we show that the early proposal for the presence of an unretarded pairing contribution triggered by the spin-exchange interaction $J$ can be discussed in this context.The occurrence of retarded (with glue) and unretarded (without glue) pairing is thoroughly discussed in cuprates. We analyze some aspects of this problem in the context of the $t\text{\ensuremath{-}}J\text{\ensuremath{-}}V$ model in a large-$N$ approximation. When $1/N$ renormalizations are neglected the mean-field result is recovered, where the unretarded $d$-wave superconducting pairing triggered by the spin-exchange interaction $J$ is obtained. However, the presence of a nonnegligible nearest-neighbors Coulomb interaction $V(\mathbf{q})$ kills superconductivity. If the non-double-occupancy constraint and its fluctuations are considered, the situation changes drastically. In this case, $V(\mathbf{q})$ is screened making $d$-wave superconductivity very robust. In addition, we show that the early proposal for the presence of an unretarded pairing contribution triggered by the spin-exchange interaction $J$ can be discussed in this context.

arXiv:2104.02288Physical review. B./Physical review. BApr 5, 20217 citations

General pairing mechanisms in the BCS-theory of superconductivity

Christian Hainzl, Michael Loss

arXiv:1603.07659The European Physical Journal BApr 28, 20177 citations

Superconductivity due to coulomb interactions

S. Küchenhoff, Stephan Schiller

Physica B Condensed MatterAug 1, 19903 citations

On the theory of fermion pairing in the problem of superconductivity and superfluidity

Alexander I. Akhiezer, S. V. Peletminskiǐ, A. A. Yatsenko

Fermion pairing in the problem of superconductivity and superfluidity, caused by direct interaction between particles, is studied. A self-consistent equation is obtained for the transition temperature in a system of fermions of different species. It is shown that the results in this case may differ qualitatively from those obtained from the BCS theory. Pairing between electrons and positrons caused by screened Coulomb interaction is investigated. The temperature dependence is found to be asymptotic both for high and low densities of the electron-positron plasma.Fermion pairing in the problem of superconductivity and superfluidity, caused by direct interaction between particles, is studied. A self-consistent equation is obtained for the transition temperature in a system of fermions of different species. It is shown that the results in this case may differ qualitatively from those obtained from the BCS theory. Pairing between electrons and positrons caused by screened Coulomb interaction is investigated. The temperature dependence is found to be asymptotic both for high and low densities of the electron-positron plasma.

Low Temperature PhysicsJul 1, 19941 citation

PAIRING INTERACTION IN THE THEORY OF SUPERCONDUCTIVITY.

Leon N. Cooper

Jan 1, 19670 citations

Effects of longer-range interactions on unconventional superconductivity

S. Raghu, Erez Berg, Andrey V. Chubukov +1 more

We analyze the effect of the nonvanishing range of electron-electron repulsion on the mechanism of unconventional superconductivity. We present asymptotically exact weak-coupling results for dilute electrons in the continuum and for the 2D extended Hubbard model, as well as density-matrix renormalization group results for the two-leg extended Hubbard model at intermediate couplings, and approximate results for the case of realistically screened Coulomb interactions. We show that ${T}_{c}$ is generally suppressed in some pairing channels as longer range interactions increase in strength, but superconductivity is not destroyed. Our results confirm that electron-electron interaction can lead to unconventional superconductivity under physically realistic circumstances.We analyze the effect of the nonvanishing range of electron-electron repulsion on the mechanism of unconventional superconductivity. We present asymptotically exact weak-coupling results for dilute electrons in the continuum and for the 2D extended Hubbard model, as well as density-matrix renormalization group results for the two-leg extended Hubbard model at intermediate couplings, and approximate results for the case of realistically screened Coulomb interactions. We show that ${T}_{c}$ is generally suppressed in some pairing channels as longer range interactions increase in strength, but superconductivity is not destroyed. Our results confirm that electron-electron interaction can lead to unconventional superconductivity under physically realistic circumstances.

arXiv:1111.2982Physical Review BJan 9, 201271 citations

N

approximation. When

1/N

renormalizations are neglected the mean-field result is recovered, where the unretarded

d

-wave superconducting pairing triggered by the spin-exchange interaction

J

is obtained. However, the presence of a nonnegligible nearest-neighbors Coulomb interaction

V(\mathbf{q})

kills superconductivity. If the non-double-occupancy constraint and its fluctuations are considered, the situation changes drastically. In this case,

V(\mathbf{q})

is screened making

d

-wave superconductivity very robust. In addition, we show that the early proposal for the presence of an unretarded pairing contribution triggered by the spin-exchange interaction

J

can be discussed in this context.

{T}_{c}

is generally suppressed in some pairing channels as longer range interactions increase in strength, but superconductivity is not destroyed. Our results confirm that electron-electron interaction can lead to unconventional superconductivity under physically realistic circumstances.