Unconventional superconductivity on the triangular lattice Hubbard model

Abstract

Using large-scale dynamical cluster quantum Monte Carlo simulations, we explore the unconventional superconductivity in the hole-doped Hubbard model on the triangular lattice. Due to the interplay of electronic correlations, geometric frustration, and Fermi surface topology, we find a doubly degenerate singlet pairing state at an interaction strength close to the bare bandwidth. Such an unconventional superconducting state is mediated by antiferromagnetic spin fluctuations along the $\Gamma$-$K$ direction, where the Fermi surface is nested. An exact decomposition of the irreducible particle-particle vertex further confirms the dominant component of the effective pairing interaction comes from the spin channel. Our findings provide support for chiral $d+id$ superconductivity in water-intercalated sodium cobaltates Na${}_x$CoO${}_2\cdot y$H${}_2$O, as well as insight into the superconducting phases of the organic compounds $\kappa$-(ET)${}_2$X and Pd(dmit)${}_2$.

5 pages, 4 figures

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• Nodal $d+id$ pairing and topological phases on the triangular lattice: unconventional superconducting state of Na${}_x$CoO${}_2\cdot y$H${}_2$O
• Na content dependence of superconductivity and the spin correlations in Na_{x}CoO_{2}\cdot 1.3H_{2}O
• Edge-currents in superconductors with a broken time-reversal symmetry

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