Spatially anisotropic Kondo resonance coupled with superconducting gap in a kagome metal

Spatially anisotropic Kondo resonance coupled with superconducting gap in a kagome metal

Zichen Huang#, Hui Chen#,*, Zhongqin Zhang#, Hao Zhang#, Zhen Zhao, Ruwen Wang, Haitao Yang, Wei Ji*, Ziqiang Wang, Hong-Jun Gao*

The chromium-based kagome metal CsCr3Sb5 has garnered significant interest due to its strong electron correlations, intertwined orders and potential for unconventional superconductivity under high pressure. The evolution of magnetic and superconducting interactions as the more frequently studied CsCr3Sb5 is doped to CsCr3Sb5 remains poorly understood. Here, we demonstrate the emergence of a spatially anisotropic Kondo resonance intertwined with the superconducting gap, enabled by introducing magnetic Cr impurities into the kagome superconductor CsCr3Sb5. The addition of dilute Cr impurities not only weakens long range charge density wave order but also produces local magnetic moments that leads to Kondo resonances. We show that the Kondo resonance forms anisotropic, ripple like spatial patterns around individual Cr atoms, breaking all local mirror symmetries. We further reveal that with the emergence of Kondo screening, the coherence peak and depth of superconducting gap with finite zero-energy conductance are enhanced. This suggests that non superconducting carriers at the Fermi surface in the parent compound participate in the Kondo effect, simultaneously screening Cr magnetic moments and increasing the superfluid density. Our findings offer an opportunity to study the interplay between superconductivity and local magnetism in kagome materials.

A Sc2C2@C88 cluster based ultra-compact multi-level probabilistic bit for matrix multiplication

A Sc2C2@C88 cluster based ultra-compact multi-level probabilistic bit for matrix multiplication

Haoran Qi1,2,3#, Guohao Xi4,#, Yuan–Biao Zhou5,#, Xinrong Liu1,2,3,#, Yifu Mao1,2,3,#, Jian Yang1,2,3, Jun Chen1,2,3, Kuojuei Hu1,2,3, Weiwei Gao2,3, Shuai Zhang1,2,3, Xiaoqin Gao1, Jianguo Wan1, Da–Wei Zhou6, Junhong An7, Xuefeng Wang8, De–Chuan Zhan6, Minhao Zhang1,2,3,*Cong Wang4,*, Wei Ji4, Yuan–Zhi Tan5,*, Su–Yuan Xie5, Fengqi Song1,2,3,*

Information units are progressively approaching the fundamental physical limits of the integration density, including in terms of extremely small sizes, multistates and probabilistic traversal. However, simultaneously encompassing all of these characteristics in a unit remains elusive. Here, via real-time in situ electrical monitoring, we clearly observed stochastic alterations of multiple conductance states in Sc2C2@C88. The true random bit sequence generated exhibited an autocorrelation function whose confidence interval fell within ±0.02, demonstrating high-quality randomness. The alterations of multiple conductance states are controllable, that is, whose probability distributions could traverse from “0” to “1”, enabling us to factorize 551 into its prime factors. Furthermore, we proposed a matrix-chain multiplication scheme and experimentally verified the multiplication of two 4 × 4 state-transition matrices with a small maximum error < 0.05. Combined with theoretical calculations, the stochastic but controllable multistates are probably attributed to the rich energy landscape, which could be stepwise changed by the electric field. Our findings reveal extremely small multi-level probabilistic bit for matrix multiplication, which pave the way for ultracompact intelligent electronic devices.

Atomic-Precision Engineering and Visualizing of Chiral Electronic States in Nitrogen-Doped Nanographenes

Atomic-Precision Engineering and Visualizing of Chiral Electronic States in Nitrogen-Doped Nanographenes

Zhi-Hao Li+, Jia-Qi Dai+, Guan Luo, Ruo-Ning Li, An-Jing Zhao, Jun-Jie Duan, Yu Ge, Zi-Cong Wang, Wei Ji*, Ting Chen*, Dong Wang, and Li-Jun Wan

As a fundamental phenomenon in nature, chirality has been extensively studied in molecular structures; however, it remains underexplored at the electronic level. Understanding how structural chirality transfers into electronic states is crucial for uncovering the essence of many chiral effects. In this study, we report the engineering and direct visualization of chiral electronic states within an otherwise planar, achiral hexa-peri-hexabenzocoronene (HBC) framework. By employing atomically precise asymmetric nitrogen doping of HBC through on-surface synthesis, we fabricate a C3-symmetric triaza-HBC on Au(111). Utilizing high-resolution scanning tunneling microscopy and non-contact atomic force microscopy, we resolve the chiral molecular structure of triaza-HBC confined to the surface, as well as the chiral texture of the resulting interfacial electronic states and its evolution at different energies. Density functional theory calculations reveal that these electronic chiral features arise from the molecule’s intrinsic chiral orbitals, which hybridize strongly with the metal substrate while still retaining their chiral character. This study not only demonstrates a clear transfer of chirality from molecular structure to the electronic landscape but also provides a versatile platform for the rational design of chiral electronic molecules and materials.

Kagome bands and magnetism in MoTe2-x kagome monolayers

Kagome bands and magnetism in MoTe2-x kagome monolayers

Jiaqi Dai, Zhongqin Zhang, Zemin Pan, Cong Wang, Chendong Zhang*, Zhihai Cheng,  and Wei Ji*

Kagome lattices facilitate various quantum phases, yet in bulk materials, their kagome flat-bands often interact with bulk bands, suppressing kagome electronic characteristics for hosting these phases. Here, we use density-functional-theory calculations to predict the geometric and electronic structures, as well as the topological and magnetic properties, of a series of MoTe2-x kagome monolayers formed by mirror-twin-boundary (MTB) loops. We analyze nine MTB-loop configurations of varying sizes and arrangements to assess their impact on various properties. Within the intrinsic bandgap of MoTe2, we identify two sets of kagome bands, originating from in-plane and out-of-plane Te p-orbitals at MTB-loop edges and -vertices, respectively. Three configurations exhibit superior stability, while three others show comparable stability. Among these, four display bandgaps and potentially non-zero Z2 topological invariants, suggesting possible topological phases, while the remaining two are metallic and feature Stoner magnetization. These findings guide the design of kagome-based two-dimensional materials with tunable electronic, topological, and magnetic properties.

Robust Mottness and tunable interlayer magnetism in Nb3X8 (X = F, Cl, Br, I) bilayers

Robust Mottness and tunable interlayer magnetism in Nb3X8 (X = F, Cl, Br, I) bilayers

Zhongqin Zhang, Jiaqi Dai, Cong Wang*, Zhihai Cheng, and Wei Ji*

Breathing kagome materials Nb3X8 (X = F, Cl, Br, I) have attracted broad interest owing to their Mott insulating behavior and stacking-dependent magnetic ground states. However, the role of interlayer coupling in modulating these properties remains underexplored. Here, using density functional theory with Hubbard U corrections, we systematically investigated how interlayer coupling affects the Mott insulating states and magnetic ground states across 24 bilayer stacking configurations for each compound. We found that all bilayers remain Mott insulators, demonstrating robust Mottness. Driven by the competition between interlayer Pauli repulsion and hopping, most stackings favor interlayer AFM order, including conventional and compensated AFM, while some exhibit AFM-FM degeneracy or stabilize interlayer FM. This robustness of Mott states coexisting with tunable interlayer magnetism provides novel analysis and insights for research on breathing kagome Mott insulators.