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arXiv 2104.01485cond-mat.str-el
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轻掺杂量子自旋液体的高温超导性

High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid

Hong-Chen Jiang, Steven A. Kivelson

摘要:

我们对四腿和六腿长圆柱体上的正方晶格的具有小孔掺杂的$t$模型$δ\ll 1$进行了密度矩阵重整化群研究。我们包括挫折的第二邻居交换耦合,$J_2 = J_1/2$的形式,这样的未掺杂($δ=0$)的“父”状态是一个量子自旋液体。在最近的研究中观察到的6腿圆柱体的挫折的情况下,在相对较短的范围内的超导(SC)的相关性,我们发现幂律SC的相关性与Luttinger指数,$K_{sc} \approx 1$,一致的强烈发散SC的磁化率,$χ\sim T^{-(2-K_{sc})}$的温度$T\to 0$。自旋-自旋相关性-如在未掺杂状态-指数下降,表明SC“配对”相关性从绝缘母态顺利发展。

英文摘要:

We have performed density-matrix renormalization group studies of a square lattice $t$-$J$ model with small hole doping, $δ\ll 1$, 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 ($δ=0$) "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, $χ\sim T^{-(2-K_{sc})}$ 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.

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