Superconducting phases in the presence of Coulomb interaction: From weak to strong correlations

Antiferromagnetism, charge density wave, and d-wave superconductivity in the $t$-$J$-$U$-$V$ model of correlated electrons: Role of direct Coulomb interactions

Marcin Abram, M. Zegrodnik, Józef Spałek

Jul 19, 20160 citations

Superconducting phases in the presence of Coulomb interaction: From weak to strong correlations

M. Curie

Published Jan 1, 1999• 0 citations

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Superconducting phases in the presence of Coulomb interaction: From weak to strong correlations

T. Domański, Karol Izydor Wysokiński

We study the evolution of the superconducting phases in a model with competing short-range attractive (W) and on-site repulsive (U) interactions. The influence of the correlations on the phase diagram of $s\ensuremath{-}$ and d-wave superconductors is studied by means of various approximations. The knowledge of the normal state correlation effects allows the tracking of the influence of U on the superconductivity in correlated systems. We have found the qualitatively different response of the superconducting phases in systems with $W<{U}_{\mathrm{cr}},$ when the system ceases to superconduct for large enough U, and in the limit of strong $W>{U}_{\mathrm{cr}},$ when the system remains superconducting for arbitrarily large U.We study the evolution of the superconducting phases in a model with competing short-range attractive (W) and on-site repulsive (U) interactions. The influence of the correlations on the phase diagram of $s\ensuremath{-}$ and d-wave superconductors is studied by means of various approximations. The knowledge of the normal state correlation effects allows the tracking of the influence of U on the superconductivity in correlated systems. We have found the qualitatively different response of the superconducting phases in systems with $W<{U}_{\mathrm{cr}},$ when the system ceases to superconduct for large enough U, and in the limit of strong $W>{U}_{\mathrm{cr}},$ when the system remains superconducting for arbitrarily large U.

Physical review. B, Condensed matterJan 1, 199915 citations

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Comment on "Superconducting phases in the presence of Coulomb interaction: From weak to strong correlations''

José Jesús Rodríguez-Núñez, A. A. Schmidt

We examine the paper basic equations of T. Domański and K.I. Wysokiński [Phys. Rev. B {\bf 59}, 173 (1999)], who calculated the critical superconducting temperature, T_c, in function of Coulomb correlations (U) for s- and d-wave order parameter symmetries. We give physical arguments, based on general theory of perturbation, that in their gap equation the Coulomb repulsion is counted twice. Because of that, we write down the right mean-field gap equation and solve it by using a normal state one-particle Green function which gives a Mott metal-insulator transition for $T > T_c$ and which is valid for any value of U. In consequence, we are not allowed to use mean-field theory for both U and pairing (V). Our numerical results for T_c vs U shows that U is detrimental to superconductivity which agrees with the numerical results of Domański and Wysokiński. Our results can be extended to any value of the pairing interaction if superconducting pairing fluctuations are taken into account.We examine the paper basic equations of T. Domański and K.I. Wysokiński [Phys. Rev. B {\bf 59}, 173 (1999)], who calculated the critical superconducting temperature, T_c, in function of Coulomb correlations (U) for s- and d-wave order parameter symmetries. We give physical arguments, based on general theory of perturbation, that in their gap equation the Coulomb repulsion is counted twice. Because of that, we write down the right mean-field gap equation and solve it by using a normal state one-particle Green function which gives a Mott metal-insulator transition for $T > T_c$ and which is valid for any value of U. In consequence, we are not allowed to use mean-field theory for both U and pairing (V). Our numerical results for T_c vs U shows that U is detrimental to superconductivity which agrees with the numerical results of Domański and Wysokiński. Our results can be extended to any value of the pairing interaction if superconducting pairing fluctuations are taken into account.

arXiv:cond-mat/9903359Mar 24, 19990 citations

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Antiferromagnetism, charge density wave, and d-wave superconductivity in the $t$ - $J$ - $U$ - $V$ model of correlated electrons: Role of direct Coulomb interactionsAntiferromagnetism, charge density wave, and d-wave superconductivity in the $t$-$J$-$U$-$V$ model of correlated electrons: Role of direct Coulomb interactions

Marcin Abram, M. Zegrodnik, Józef Spałek

We study the stability of antiferromagnetic (AF), charge density wave (CDW), and superconducting (SC) states within the $t$ - $J$ - $U$ - $V$ model of strongly correlated electrons using the statistically consistent Gutzwiller approximation (SGA). We concentrate on the role of the intersite Coulomb interaction term $V$ in stabilizing the CDW phase and show it appears only above some critical values of $V$ and in a limited hole doping range $\delta$ . The effect of the term $V$ on SC and AF phases is that a strong interaction suppresses SC altogether, whereas the AF order is not significantly influenced by its presence. Calculations for the case of pure SC phase have been also carried out within an extended approach, the extended approach, the diagrammatic expansion for the Gutzwiller wave function (DE-GWF) in order to analyze influence of the higher-order correlations onto this phase beyond the renormalized mean field approach. In the Appendices we discuss, the specific ambiguity of the choice of the Gutzwiller renormalization factors within the SGA when either AF or CDW orders are considered.We study the stability of antiferromagnetic (AF), charge density wave (CDW), and superconducting (SC) states within the $t$-$J$-$U$-$V$ model of strongly correlated electrons using the statistically consistent Gutzwiller approximation (SGA). We concentrate on the role of the intersite Coulomb interaction term $V$ in stabilizing the CDW phase and show it appears only above some critical values of $V$ and in a limited hole doping range $\delta$. The effect of the term $V$ on SC and AF phases is that a strong interaction suppresses SC altogether, whereas the AF order is not significantly influenced by its presence. Calculations for the case of pure SC phase have been also carried out within an extended approach, the extended approach, the diagrammatic expansion for the Gutzwiller wave function (DE-GWF) in order to analyze influence of the higher-order correlations onto this phase beyond the renormalized mean field approach. In the Appendices we discuss, the specific ambiguity of the choice of the Gutzwiller renormalization factors within the SGA when either AF or CDW orders are considered.

Jul 19, 20160 citations

W<{U}_{\mathrm{cr}},

when the system ceases to superconduct for large enough U, and in the limit of strong

W>{U}_{\mathrm{cr}},

when the system remains superconducting for arbitrarily large U.

T > T_c

and which is valid for any value of U. In consequence, we are not allowed to use mean-field theory for both U and pairing (V). Our numerical results for T_c vs U shows that U is detrimental to superconductivity which agrees with the numerical results of Domański and Wysokiński. Our results can be extended to any value of the pairing interaction if superconducting pairing fluctuations are taken into account.

Antiferromagnetism, charge density wave, and d-wave superconductivity in the

t

J

U

V

model of correlated electrons: Role of direct Coulomb interactions

We study the stability of antiferromagnetic (AF), charge density wave (CDW), and superconducting (SC) states within the

t

J

U

V

model of strongly correlated electrons using the statistically consistent Gutzwiller approximation (SGA). We concentrate on the role of the intersite Coulomb interaction term

V

in stabilizing the CDW phase and show it appears only above some critical values of

V

and in a limited hole doping range

\delta

. The effect of the term

V

on SC and AF phases is that a strong interaction suppresses SC altogether, whereas the AF order is not significantly influenced by its presence. Calculations for the case of pure SC phase have been also carried out within an extended approach, the extended approach, the diagrammatic expansion for the Gutzwiller wave function (DE-GWF) in order to analyze influence of the higher-order correlations onto this phase beyond the renormalized mean field approach. In the Appendices we discuss, the specific ambiguity of the choice of the Gutzwiller renormalization factors within the SGA when either AF or CDW orders are considered.