在Kagome晶格上掺杂量子自旋液体,Advanced Quantum Technologies

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在Kagome晶格上掺杂量子自旋液体
Advanced Quantum Technologies ( IF 4.4 ) Pub Date : 2021-01-28 , DOI: 10.1002/qute.202000126
Cheng Peng ₁ , Yi‐Fan Jiang ₁ , Dong‐Ning Sheng ₂ , Hong‐Chen Jiang ₁

Affiliation

作者回顾了最近在kagome晶格上对轻掺杂量子自旋液体（QSL）进行密度矩阵重整化的研究。虽然理论上已经预料到了许多不同的导电相，包括高温超导性，但是却发现了一种趋向于分离的绝缘电荷密度波（CDW）状态的趋势。与早期的工作[Jiang，Devereaux和Kivelson，Phys。莱特牧师。2017年，119，067002]，对于结果吨- Ĵ模型显示，从完全空位的QSL开始，轻掺杂会导致CDW长期排列，其图案取决于晶格几何形状和掺杂浓度，从而每个CDW晶胞中只有一个掺杂孔，而自旋-自旋相关性保持短距离。可替代地，该状态可以被看作是无自旋硅酮的条纹晶体或威格纳晶体，而不是掺杂的空穴。从这里开始，通过研究t ‐ J的广义版本在模型中，这些结果扩展到轻掺杂其他类型的QSL，包括关键和手性QSL。这些结果表明，掺杂这些QSL还会导致CDW阶长的绝缘状态。虽然超导相关性是短距离的，但可以通过第二邻域电子跳跃来显着增强它们。还讨论了这些数值结果与Kagome材料的相关性。

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Doping Quantum Spin Liquids on the Kagome Lattice

The authors review recent density‐matrix renormalization group studies of lightly doped quantum spin liquids (QSLs) on the kagome lattice. While a number of distinct conducting phases, including high temperature superconductivity, have been theoretically anticipated, a tendency toward fractionalized insulating charge‐density‐wave (CDW) states is instead found. In agreement with earlier work [Jiang, Devereaux, and Kivelson, Phys. Rev. Lett. 2017, 119, 067002], results for the t‐J model reveal that, starting from a fully gapped QSL, light doping leads to CDW long‐range order with a pattern that depends on lattice geometry and doping concentration such that there is one doped‐hole per CDW unit cell, while the spin–spin correlations remain short‐ranged. Alternatively, this state can be viewed as a stripe crystal or Wigner crystal of spinless holons, rather than of doped holes. From here, by studying generalized versions of the t‐J model, these results are extended to light doping of other types of QSLs, including critical and chiral QSLs. These results suggest that doping these QSLs also leads to insulating states with long‐range CDW order. While the superconducting correlations are short‐ranged, they can be significantly enhanced by second‐neighbor electron hopping. The relevance of these numerical results to Kagome materials is also discussed.

更新日期：2021-03-15

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