Magnetism and superconductivity of strongly correlated electrons on the triangular lattice

Details Magnetism and superconductivity of strongly correlated electrons on the triangular lattice Magnetism and superconductivity of strongly correlated electrons on the triangular lattice

2005-09-20

arxiv.org/abs/cond-mat/0509520v2

Phys. Rev. B 73, 014519 (2006)

Physics

Condensed Matter

Superconductivity

11 pages; 11 figures

Scientific paper

10.1103/PhysRevB.73.014519

We investigate the phase diagram of the \tj Model on a triangular lattice using a Variational Monte-Carlo approach. We use an extended set of Gutzwiller projected fermionic trial wave-functions allowing for simultaneous magnetic and superconducting order parameters. We obtain energies at zero doping for the spin-1/2 Heisenberg model in very good agreement with the best estimates. Upon electron doping (with a hopping integral $t<0$) this phase is surprisingly stable variationally up to $n\approx 1.4$, while the $d_{x^{2}-y^{2}}+i d_{xy}$ order parameter is rather weak and disappears at $n\approx 1.1$. For hole doping however the coplanar magnetic state is almost immediately destroyed and $d_{x^{2}-y^{2}}+i d_{xy}$ superconductivity survives down to $n\approx 0.8$. For lower $n$, between 0.2 and 0.8, we find saturated ferromagnetism. Moreover, there is evidence for a narrow spin density wave phase around $n\approx 0.8$. Commensurate flux phases were also considered, but these turned out {\em not} to be competitive at finite doping.

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