Attractive Hubbard and t-J model studies of high-temperature superconductivity

High-temperature $η$ -pairing superconductivity in the photodoped Hubbard modelHigh-temperature $η$-pairing superconductivity in the photodoped Hubbard model

Lei Geng, Aaram J. Kim, Philipp Werner

We investigate superconductivity emerging in the photodoped Mott insulating Hubbard model using steady-state dynamical mean-field theory implemented on the real-frequency axis. By employing high-order strong-coupling impurity solvers, we obtain the nonequilibrium phase diagram for photoinduced $η$ -pairing superconductivity with a remarkably high effective critical temperature. We further identify a superconducting gap in the momentum-resolved spectral function and optical conductivity, providing spectroscopic signatures accessible to experiments. Our results highlight a route to a controllable form of high-temperature superconductivity in nonequilibrium strongly correlated systems, fundamentally distinct from the equilibrium $s$ -wave pairing state in the attractive Hubbard model or cuprate-like $d$ -wave superconductors.We investigate superconductivity emerging in the photodoped Mott insulating Hubbard model using steady-state dynamical mean-field theory implemented on the real-frequency axis. By employing high-order strong-coupling impurity solvers, we obtain the nonequilibrium phase diagram for photoinduced $η$-pairing superconductivity with a remarkably high effective critical temperature. We further identify a superconducting gap in the momentum-resolved spectral function and optical conductivity, providing spectroscopic signatures accessible to experiments. Our results highlight a route to a controllable form of high-temperature superconductivity in nonequilibrium strongly correlated systems, fundamentally distinct from the equilibrium $s$-wave pairing state in the attractive Hubbard model or cuprate-like $d$-wave superconductors.

arXiv:2602.17238Feb 19, 20260 citations

Strong coupling Hubbard model and superconductivity

M. Noga

Czechoslovak Journal of PhysicsNov 1, 19890 citations

Pairing, condensation, and superconductivity described by a Hubbard model with an attractive interaction

BL Gyorffy, Julie B. Staunton, G. Malcolm Stocks

We have developed a method for studying superconductivity in the negative-U Hubbard model. It is based on the Hubbard-alloy-analogy approximation applied to the Gor'kov equation for the model. We find that, unlike the case of the BCS solution, the formation of pairs and their condensation into a superconducting ground state take place at two different temperatures. We calculate the condensation temperature ${\mathit{T}}_{\mathit{c}}$ for all U and discuss the nature of the normal state which, for large enough U, features a macroscopically large number of pairs. Briefly, we argue that the model has relevance for high-temperature superconductors.We have developed a method for studying superconductivity in the negative-U Hubbard model. It is based on the Hubbard-alloy-analogy approximation applied to the Gor'kov equation for the model. We find that, unlike the case of the BCS solution, the formation of pairs and their condensation into a superconducting ground state take place at two different temperatures. We calculate the condensation temperature ${\mathit{T}}_{\mathit{c}}$ for all U and discuss the nature of the normal state which, for large enough U, features a macroscopically large number of pairs. Briefly, we argue that the model has relevance for high-temperature superconductors.

Physical review. B, Condensed matterSep 1, 199152 citations

Superconductivity within the extended Hubbard model

Rene Jursa, S. Wermbter, G. Czycholl

Czechoslovak Journal of PhysicsFeb 1, 19962 citations

High-temperature

η

-pairing superconductivity in the photodoped Hubbard model

η

-pairing superconductivity with a remarkably high effective critical temperature. We further identify a superconducting gap in the momentum-resolved spectral function and optical conductivity, providing spectroscopic signatures accessible to experiments. Our results highlight a route to a controllable form of high-temperature superconductivity in nonequilibrium strongly correlated systems, fundamentally distinct from the equilibrium

s

-wave pairing state in the attractive Hubbard model or cuprate-like

d

-wave superconductors.

{\mathit{T}}_{\mathit{c}}

for all U and discuss the nature of the normal state which, for large enough U, features a macroscopically large number of pairs. Briefly, we argue that the model has relevance for high-temperature superconductors.