Abstract
Broad interest in quantum spin liquid (QSL) phases was triggered by the notion that they can be viewed as insulating phases with preexisting electron pairs, such that upon light doping they might automatically yield high temperature superconductivity. Yet despite intense experimental and numerical efforts, definitive evidence showing that doping QSLs leads to superconductivity has been lacking. We address the problem of a lightly doped QSL through a large-scale density-matrix renormalization group study of the t-J model on finite-circumference triangular cylinders with a small but nonzero concentration of doped holes. We provide direct evidences that doping QSL can naturally give rise to d-wave superconductivity. Specifically, we find power-law superconducting correlations with a Luttinger exponent, Ksc ≈ 1, which is consistent with a strongly diverging superconducting susceptibility, {chi }_{sc} ,sim, {T}^{-(2,-,{K}_{sc})} as the temperature T → 0. The spin–spin correlations—as in the undoped QSL state—fall exponentially which suggests that the superconducting pair-pair correlations evolve smoothly from the insulating parent state.
Highlights
Quantum spin liquids (QSLs) are exotic phases of matter that exhibit a variety of novel features associated with their topological character[1,2,3,4,5]
This is partially due to the fact that the realization of QSLs is a great challenge to physicists, where candidate materials and systems are rare[2,3,4,5]
As the QSL has been realized on the spin-1/2 antiferromagnetic J1–J2 Heisenberg model on the triangular lattice, a natural question is whether doping this QSL will give rise to superconductivity? Quasi-one-dimensional (1D) systems such as cylinders have become an important starting point to resolve this problem which has essential degrees of freedom that allow for two-dimensional characteristics to emerge
Summary
Quantum spin liquids (QSLs) are exotic phases of matter that exhibit a variety of novel features associated with their topological character[1,2,3,4,5]. It is still under debate whether this QSL is gapped or gapless in the 2D limit, it is consistent with a gapped (possibly “Z2”33) spin liquid on finite width cylinders This is evidenced by the observed nonzero spingap and exponentially falling spin–spin correlations where the correlation length is significantly shorter than the width (Ly in Fig. 1) of the cylinders, and short-range dimer–dimer and chiral–chiral correlations[25,26,27,28,29]. As the QSL has been realized on the spin-1/2 antiferromagnetic J1–J2 Heisenberg model on the triangular lattice, a natural question is whether doping this QSL will give rise to superconductivity? This is suggestive that doping the QSL state on the triangular lattice could naturally give rise to superconductivity
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