Magnetism and d-wave superconductivity on the half-filled square lattice with frustration

dc.creatorNevidomskyy, Andriy H.
dc.creatorScheiber, Christian
dc.creatorSenechal, David
dc.creatorTremblay, A. -M. S.
dc.date2007-11-01
dc.date.accessioned2026-07-07T09:24:11Z
dc.date.available2026-07-07T09:24:11Z
dc.descriptionThe role of frustration and interaction strength on the half-filled Hubbard model is studied on the square lattice with nearest and next-nearest neighbour hoppings t and t' using the Variational Cluster Approximation (VCA). At half-filling, we find two phases with long-range antiferromagnetic (AF) order: the usual Neel phase, stable at small frustration t'/t, and the so-called collinear (or super-antiferromagnet) phase with ordering wave-vector $(π,0)$ or $(0,π)$, stable for large frustration. These are separated by a phase with no detectable long-range magnetic order. We also find the d-wave superconducting (SC) phase ($d_{x^2-y^2}$), which is favoured by frustration if it is not too large. Intriguingly, there is a broad region of coexistence where both AF and SC order parameters have non-zero values. In addition, the physics of the metal-insulator transition in the normal state is analyzed. The results obtained with the help of the VCA method are compared with the large-U expansion of the Hubbard model and known results for the frustrated J1-J2 Heisenberg model. These results are relevant for pressure studies of undoped parents of the high-temperature superconductors: we predict that an insulator to d-wave SC transition may appear under pressure.
dc.description12 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0711.0214
dc.identifierhttp://arxiv.org/abs/0711.0214
dc.identifierPhys. Rev. B 77, 064427 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.064427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156003
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleMagnetism and d-wave superconductivity on the half-filled square lattice with frustration
dc.typetext

Files

Collections