An organizing principle for two-dimensional strongly correlated superconductivity

Abstract

Superconductivity in the cuprates exhibits many unusual features. We study the two-dimensional Hubbard model with plaquette dynamical mean-field theory to address these unusual features and relate them to other normal-state phenomena, such as the pseudogap. Previous studies with this method found that upon doping the Mott insulator at low temperature a pseudogap phase appears. The low-temperature transition between that phase and the correlated metal at higher doping is first-order. A series of crossovers emerge along the Widom line extension of that first-order transition in the supercritical region. Here we show that the highly asymmetric dome of the dynamical mean-field superconducting transition temperature , the maximum of the condensation energy as a function of doping, the correlation between maximum and normal-state scattering rate, the change from potential-energy driven to kinetic-energy driven pairing mechanisms can all be understood as remnants of the normal state first-order transition and its associated crossovers that also act as an organizing principle for the superconducting state.

Subgap structures and pseudogap in cuprate superconductors: Role of density waves

“…Such fine tuning would be very surprising coming from a simple mix of competing orders. This work therefore provides a good justification, beyond simple taste for unified theories, to search for the common origin of intertwined orders in cuprates 5,32,62,65,[74][75][76] .…”

Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model

“…For CDMFT solved with CT-HYB, we demonstrated in Ref. 61 that the kinetic energy is the sum of two contributions, E kin = E (1)…”

“…Remarkably, the Mott transition controls the sharp crossover that we observe between a potential-energy driven AF at small U , and kineticenergy driven AF at large U . This question of the origin of the stability of the AF state relative to the normal state has hitherto received little attention compared with the same question for superconductivity [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61] . Yet, both questions are related to the role of the normal-state Mott transition.…”

Dynamical mean-field theory study of stripe order and d -wave superconductivity in the two-dimensional Hubbard model

“…It has been used to gain insight to the Mott transition both in the Hubbard model [49] and in real materials [50]. Since the initial realization [52] that the plaquette DMFT (meaning cellular DMFT [51] with a 2 × 2 cluster) can describe d-wave superconductivity, this approximation has been employed to study the competition and coexistence of superconductivity and magnetic order in the ground state [53,54], the effect of nearest-neighbor repulsion [55,56], and finite temperature energetics and critical temperatures of the superconductivity [57,58]. This approximation in its basic form cannot produce a striped state, since the 2 × 2 unit cell does not allow modulation of the magnetization across the lattice.…”