High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid

Abstract

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

6 pages, 5 figures plus appendix

References in corpus (9)

• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Stripe order enhanced superconductivity in the Hubbard model
• Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
• Doping quantum spin liquids on the Kagome lattice
• The phase diagram of the Hubbard model by Variational Auxiliary Field quantum Monte Carlo

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