Variational Monte-Carlo studies of Gossamer Superconductivity

Abstract

We use a partially Gutzwiller projected BCS d-wave wavefunction with an antiferromagentic weighting factor to study the ground state phase diagram of a half filled Hubbard-Heisenberg model in a square lattice with nearest neighbor hopping $t$ and a diagonal hopping $t^{\prime }$. The calculations are carried out by using variational Monte Carlo method which treats the Gutzwiller projection explicitly. At large on-site Coulomb interaction $U$, the ground state is antiferromagnetic. As $U$ decreases, the ground state becomes superconducting and eventually metallic. The phase diagram is obtained by extensive calculations. As compared to the strong effect of $U/t$, the phase boundaries turn out to be less sensitive to $t^{\prime }/t$. The result is consistent with the phase diagram in layered organic conductors, and is compared to the earlier mean field result based on the Gutzwiller approximation.

5 pages, 4 figures

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Cited by in corpus (6)

• Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $\kappa$-(ET)${}_2$X
• From charge- and spin-ordering to superconductivity in the organic charge-transfer solids
• Absence of long-range superconducting correlations in the frustrated 1/2-filled band Hubbard model
• On the coexistence of antiferromagnetism and d + i d superconducting correlations in the graphene bilayer
• Organic superconductors: the need to go beyond effective 1/2-filled band models
• Enhancement of maximum superconducting temperature by applying pressure and reducing the charge transfer gap