High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid

We have performed density-matrix renormalization group studies of a square lattice $t$-$J$ model with small hole doping, $\delta\ll 1$, on long 4 and 6 leg cylinders. include frustration in the form second-neighbor exchange coupling, $J_2 = J_1/2$, such that undoped ($\delta=0$) "parent" state is quantum spin liquid. In contrast to relatively short range superconducting (SC) correlations been observed recent 6-leg cylinder absence frustration, we find power law SC Luttinger exponent, $K_{sc} \approx consistent strongly diverging susceptibility, $\chi \sim T^{-(2-K_{sc})}$ as temperature $T\to 0$. The spin-spin - fall exponentially suggesting "pairing" evolve smoothly from insulating parent state.