Würzburg theory confirmed: Kagome superconductor makes waves

For about fifteen years, Kagome materials with their star-shaped structure reminiscent of a Japanese basketry pattern have captivated global research. Only staring from 2018 scientists have been able to synthesize metallic compounds featuring this structure in the lab. Thanks to their unique crystal geometry, Kagome metals combine distinctive electronic, magnetic, and superconducting properties, making them promising for future quantum technologies. Professor Ronny Thomale of the Würzburg-Dresden Cluster of Excellence ct.qmat – Complexity and Topology in Quantum Matter, and Chair of Theoretical Physics at the University of Würzburg (JMU) provided key insights in this class of materials with his early theoretical predictions. Recent findings published in Nature suggest these materials could lead to novel electronic components, such as superconducting diodes.

Kagome Superconductor Shakes Up Science

In a preprint online published on February 16, 2023, Professor Thomale’s team proposed that a unique type of superconductivity could manifest in Kagome metals, with Cooper pairs distributing in a wave-like fashion within the sublattices. Each “star point” contains a different number of Cooper pairs. Thomale’s theory has now been directly substantiated for the first time in an international experiment, causing a worldwide sensation. This overturns the earlier assumption that Kagome metals could only host uniformly distributed Cooper pairs (or waveforms). Cooper pairs – named after physicist Leon Cooper – are formed at very low temperatures by pairs of electrons, and are essential for superconductivity. Acting collectively, they can create a quantum state, and can also move through a Kagome superconductor without resistance.

“Initially, our research on Kagome metals like potassium vanadium antimony (KV₃Sb₅) focused on the quantum effects of individual electrons, which, although not superconducting, can exhibit wave-like behavior in the material,” explains Thomale. “After experimentally confirming our initial theory on electron behavior with the detection of charge density waves two years ago, we tried to find additional quantum phenomena at ultralow temperatures. This led to the discovery of the Kagome superconductor. However, global physics research in Kagome materials is still in its infancy,” Thomale notes.

Transmitting Wave Motion

“Quantum physics is familiar with the pair-density wave phenomenon—a special form of a superconducting condensate. As we all know from cooking, when steam cools, it condenses and becomes liquid. Something similar happens in Kagome metals. At ultra-low temperatures around –193 degrees Celsius, the electrons reorganize and distribute in waves in the material. This has been known since the discovery of charge density waves,” explains doctoral student Hendrik Hohmann, a key contributor to the theoretical work alongside his colleague Matteo Dürrnagel. “When the temperature drops to –272 degrees (almost absolute zero), electrons join together in pairs. These Cooper pairs condense into a quantum fluid that also spreads in waves through the material, enabling resistance-free superconductivity. This wave-like distribution is therefore transmitted from electrons to Cooper pairs.”

Previous research on Kagome metals has demonstrated both superconductivity and the spatial distribution of Cooper pairs. The surprising new finding is that these pairs can be distributed not just evenly, but also in a wave-like pattern within the atomic sublattices, a phenomenon termed “sublattice-modulated superconductivity.” Dürrnagel adds: “The presence of pair density waves in KV₃Sb₅ is ultimately due to wave-like electron distribution at temperatures 80 degrees above superconductivity. This combination of quantum effects harbors significant potential.”

The ct.qmat researchers are now searching for Kagome metals where Cooper pairs exhibit spatial modulation without charge density waves arising prior to superconductivity. Promising candidates are already under study.

Nobel Prize-Winning Josephson Effect Enables Breakthrough

The experiment, pioneering in its direct detection of Cooper pairs distributed in wave-like patterns within a Kagome metal, was developed by Jia-Xin Yin at the Southern University of Science and Technology in Shenzhen, China. It utilized a scanning tunneling microscope equipped with a superconducting tip capable of directly observing Cooper pairs. The design of this tip, ending in a single atom, is based on the Nobel Prize-winning Josephson effect. A superconducting current passes between the microscope tip and the sample, enabling the direct measurement of the Cooper pairs’ distribution.

“The current findings are another milestone towards energy-efficient quantum devices. While these effects are currently observable only at the atomic level, once Kagome superconductivity is achievable on a macroscopic scale, novel superconducting components will become feasible. And this is what drives our basic research,” states Professor Thomale.

Outlook

While the world’s longest superconducting cable has been installed in Munich, intensive research is still being carried out on superconducting electronic components. The first superconducting diodes have already been developed in the laboratory, but they rely on a combination of different superconducting materials. By contrast, the unique Kagome superconductors, with their inherent spatial modulation of Cooper pairs, act as diodes themselves, offering exciting possibilities for superconducting electronics and loss-free circuits.

Cluster of Excellence ct.qmat

The Cluster of Excellence ct.qmat – Complexity and Topology in Quantum Matter has been jointly run by the University of Würzburg (JMU) and Technische Universität (TU) Dresden since 2019. Over 300 scientists from more than thirty countries and four continents study topological quantum materials that reveal surprising phenomena under extreme conditions such as ultra-low temperatures, high pressure, or strong magnetic fields. ct.qmat is funded through the German Excellence Strategy of the Federal and State Governments and is the only Cluster of Excellence in Germany to be based in two different federal states.

Publication

Hanbin Deng, Hailang Qin, Guowei Liu, Tianyu Yang, Ruiqing Fu, Zhongyi Zhang, Xianxin Wu, Zhiwei Wang, Youguo Shi, Jinjin Liu, Hongxiong Liu, Xiao-Yu Yan, Wei Song, Xitong Xu, Yuanyuan Zhao, Mingsheng Yi, Gang Xu, Hendrik Hohmann, Sofie Castro Holbæk, Matteo Dürrnagel, Sen Zhou, Guoqing Chang, Yugui Yao, Qianghua Wang, Zurab Guguchia, Titus Neupert, Ronny Thomale, Mark H. Fischer & Jia-Xin Yin, Nature 632, 775–781 (2024). Chiral kagome superconductivity modulations with residual Fermi arcs in KV₃Sb₅ and CsV₃Sb_{5.  DOI:} https://www.nature.com/articles/s41586-024-07798-y

Tilman Schwemmer, Hendrik Hohmann, Matteo Dürrnagel, Janik Potten, Jacob Beyer, Stephan Rachel, Yi-Ming Wu, Srinivas Raghu, Tobias Müller, Werner Hanke, and Ronny Thomale, arXiv:2302.08517 (2023). Sublattice modulated superconductivity in the kagome Hubbard model. DOI: https://doi.org/10.48550/arXiv.2302.08517

Tilman Schwemmer, Hendrik Hohmann, Matteo Dürrnagel, Janik Potten, Jacob Beyer, Stephan Rachel, Yi-Ming Wu, Srinivas Raghu, Tobias Müller, Werner Hanke, and Ronny Thomale, Phys. Rev. B 110, 024501 (2024). Sublattice modulated superconductivity in the kagome Hubbard model. DOI: https://doi.org/10.1103/PhysRevB.110.024501