Enhancement of superconductivity by electronic nematicity in cuprate superconductors

Electromagnetic response of cuprate superconductors with coexisting electronic nematicity

“…where t η and J η are the hoping amplitude and exchange coupling, respectively, for the nearest neighbors η, t η is the hoping amplitude for the next nearest neighbors η , C † lσ (C lσ ) creates (annihilates) an electron at site l with spin σ, S l is the spin operator with its components S x l , S y l , and S z l , and µ is the chemical potential. Following the previous analyses of the exotic features of cuprate superconductors with coexisting electronic nematicity 51,52,[56][57][58][59] , the next nearest-neighbor (NN) hoping amplitude in the t-J model (1) is chosen as t τ = t , while the NN hoping amplitude t η can be chosen as,…”

“…( 2) also indicate that the rotation symmetry is broken already in the starting t-J model (1). Throughout this paper, we choose the parameters t/J = 3 and t /t = 1/3 as in our previous discussions 51,52 . However, when necessary to compare with the experimental data, we take J = 100 meV.…”

“…In the case of zero magneticfield, the kinetic-energy-driven SC mechanism has been developed [66][67][68][69] based on the t-J model (1) in the fermionspin representation (3), where the charge carriers are held together in the d-wave pairs at low temperatures by the attractive interaction that originates directly from the kinetic energy of the t-J model by the exchange of a strongly dispersive spin excitation, then the d-wave electron pairs originated from the d-wave charge-carrier pairs are due to the charge-spin recombination, and these dwave electron pairs condense to the SC-state with the d-wave symmetry. Very recently, the framework of this kinetic-energy-driven superconductivity has been generalized to discuss the intertwinement of superconductivity with the electronic nematicity 51,52 , where the breaking of the rotation symmetry due to the presence of the electronic nematicity is verified by the inequivalence on the average of the electronic structure at the two Bragg scattering sites. However, in the above discussions 51,52 , the vertex correction for the electron self-energy has been ignored.…”

“…Very recently, the framework of this kinetic-energy-driven superconductivity has been generalized to discuss the intertwinement of superconductivity with the electronic nematicity 51,52 , where the breaking of the rotation symmetry due to the presence of the electronic nematicity is verified by the inequivalence on the average of the electronic structure at the two Bragg scattering sites. However, in the above discussions 51,52 , the vertex correction for the electron self-energy has been ignored. In the following discussions, we study the exotic features of the electromagnetic response of cuprate superconductors with coexisting electronic nematicity by taking into account the vertex correction for the electron self-energy.…”

“…In our recent works 51,52 , the electronic structure of cuprate superconductors with coexisting electronic nematicity has been investigated based on the kineticenergy-driven superconductivity, where we have shown that superconductivity is enhanced by the electronic nematicity. In particular, we 52 have also shown that the characteristic energy of the nematic-order state as a function of the nematic-order state strength presents a similar behavior of T c , which therefore suggests a possible connection between the characteristic energy of the nematicorder state and the enhancement of the superconductivity.…”