Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards a quantitative theory (Review Article) (original) (raw)

Antiferromagnetic to superconducting phase transition in the hole- and electron-doped Hubbard model at zero temperature

Physical Review B, 2006

The competition between d-wave superconductivity (SC) and antiferromagnetism (AF) in the high-Tc cuprates is investigated by studying the hole-and electron-doped two-dimensional Hubbard model with a recently proposed variational quantum-cluster theory. The approach is shown to provide a thermodynamically consistent determination of the particle number, provided that an overall shift of the on-site energies is treated as a variational parameter. The consequences for the single-particle excitation spectra and for the phase diagram are explored. By comparing the single-particle spectra with quantum Monte-Carlo (QMC) and experimental data, we verify that the low-energy excitations in a strongly-correlated electronic system are described appropriately. The cluster calculations also reproduce the overall ground-state phase diagram of the high-temperature superconductors. In particular, they include salient features such as the enhanced robustness of the antiferromagnetic state as a function of electron doping and the tendency towards phase separation into a mixed antiferromagnetic-superconducting phase at low-doping and a pure superconducting phase at high (both hole and electron) doping.

Superconductivity in a generalized Hubbard model

Physica C: Superconductivity, 1997

We consider a Hubbard model in the square lattice, with a generalized hopping between nearest-neighbor sites for spin up (down), which depends on the total occupation n b of spin down (up) electrons on both sites. We call the hopping parameters tAA, tAB, and tBB for n b = 0, 1 or 2 respectively. Using the Hartree-Fock and Bardeen-Cooper-Schrieffer mean-field approximations to decouple the two-body and three-body interactions, we find that the model exhibits extended s-wave superconductivity in the electron-hole symmetric case tAB > tAa = tBB for small values of the Coulomb repulsion U or small band fillings. For moderate values of U, the antiferromagnetic normal (AFN) state has lower energy. The translationally invariant d-wave superconducting state has always larger energy than the AFN state.

Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors

Physical Review Letters, 2004

Using cluster perturbation theory, it is shown that the spectral weight and pseudogap observed at the Fermi energy in recent Angle Resolved Photoemission Spectroscopy (ARPES) of both electron and hole-doped high-temperature superconductors find their natural explanation within the t-t ′-t ′′-U Hubbard model in two dimensions. The value of the interaction U needed to explain the experiments for electron-doped systems at optimal doping is in the weak to intermediate coupling regime where the t − J model is inappropriate. At strong coupling, short-range correlations suffice to create a pseudogap but at weak coupling long correlation lengths associated with the antiferromagnetic wave vector are necessary.

Superconductivity in a Hubbard-Fröhlich model and in cuprates

Physical Review B, 2009

Using the variational Monte-Carlo method we find that a relatively weak long-range electronphonon interaction induces a d-wave superconducting state of doped Mott-Hubbard insulators and/or strongly-correlated metals with a condensation energy significantly larger than can be obtained with Coulomb repulsion only. Moreover, the superconductivity is shown to exist for infinite on-site Coulomb repulsion, removing the requirement for additional mechanisms such as spin fluctuations to mediate d-wave superconductivity. We argue that the superconducting state is robust with respect to a more intricate choice of the trial function and that the true origin of high-temperature superconductivity lies in a proper combination of strong electron-electron correlations with poorly screened Fröhlich electron-phonon interaction.

Superconductivity in an extended Hubbard model with attractive interaction

Superconductor Science and Technology, 2011

In this work, a two-dimensional one-band Hubbard model is investigated within a two-pole approximation. The model presents a non-local attractive potential U (U < 0) that allows the study of d-wave superconductivity and also includes hopping up to second-nearest-neighbors. The twopole scheme has been proposed to improve the Hubbard-I approximation. The analytical results

Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview

Philosophical Magazine, 2014

We briefly overview the importance of Hubbard and Anderson-lattice models as applied to explanation of high-temperature and heavy-fermion superconductivity. Application of the models during the last two decades provided an explanation of the paired states in correlated fermion systems and thus extended essentially their earlier usage to the description of itinerant magnetism, fluctuating valence, and the metal-insulator transition. In second part, we also present some of the new results concerning the unconventional superconductivity and obtained very recently in our group. A comparison with experiment is also discussed, but the main emphasis is put on rationalization of the superconducting properties of those materials within the real-space pairing mechanism based on either kinetic exchange and/or Kondo-type interaction combined with the electron correlation effects.

Pseudogap transition within the superconducting phase in the three-band Hubbard model

2019

The onset of the pseudogap in high-T_c superconducting cuprates (HTSC) is marked by the T^* line in the doping-temperature phase diagram, which ends at a point p^* at zero temperature within the superconducting dome. There is no general consensus on how the pseudogap manifests itself within the superconducting phase. We use cluster dynamical mean field theory on a three-band Hubbard model for the HTSC to study the superconducting phase at T=0 K, obtained when doping the correlated insulator, for two different sets of band parameters and for several values of U. We observe a first-order transition within the superconducting phase, which we believe, marks the onset of the pseudogap. Further, we also observe that the d-wave node vanishes within the superconducting phase at low values of hole doping, lower than that at which the first-order transition occurs. Various aspects of the results and their implications are discussed.