Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor
Emergent phases often appear when the electronic kinetic energy is comparable to the Coulomb interactions. One approach to seek material systems as hosts of such emergent phases is to realize localization of electronic wavefunctions due to the geometric frustration inherent in the crystal structure,...
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Physics Dirac cones Flat bands Huang, Jianwei Setty, Chandan Deng, Liangzi You, Jing-Yang Liu, Hongxiong Shao, Sen Oh, Ji Seop Guo, Yucheng Zhang, Yichen Yue, Ziqin Yin, Jia-Xin Hashimoto, Makoto Lu, Donghui Gorovikov, Sergey Dai, Pengcheng Denlinger, Jonathan D. Allen, J. W. Hasan, M. Zahid Feng, Yuan-Ping Birgeneau, Robert J. Shi, Youguo Chu, Ching-Wu Chang, Guoqing Si, Qimiao Yi, Ming Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor |
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Emergent phases often appear when the electronic kinetic energy is comparable to the Coulomb interactions. One approach to seek material systems as hosts of such emergent phases is to realize localization of electronic wavefunctions due to the geometric frustration inherent in the crystal structure, resulting in flat electronic bands. Recently, such efforts have found a wide range of exotic phases in the two-dimensional kagome lattice, including magnetic order, time-reversal symmetry breaking charge order, nematicity, and superconductivity. However, the interlayer coupling of the kagome layers disrupts the destructive interference needed to completely quench the kinetic energy. Here we demonstrate that an interwoven kagome network—a pyrochlore lattice—can host a three dimensional (3D) localization of electron wavefunctions. Meanwhile, the nonsymmorphic symmetry of the pyrochlore lattice guarantees all band crossings at the Brillouin zone X point to be 3D gapless Dirac points, which was predicted theoretically but never yet observed experimentally. Through a combination of angle-resolved photoemission spectroscopy, fundamental lattice model and density functional theory calculations, we investigate the novel electronic structure of a Laves phase superconductor with a pyrochlore sublattice, CeRu2. We observe evidence of flat bands originating from the Ce 4f orbitals as well as flat bands from the 3D destructive interference of the Ru 4d orbitals. We further observe the nonsymmorphic symmetry-protected 3D gapless Dirac cone at the X point. Our work establishes the pyrochlore structure as a promising lattice platform to realize and tune novel emergent phases intertwining topology and many-body interactions. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Huang, Jianwei Setty, Chandan Deng, Liangzi You, Jing-Yang Liu, Hongxiong Shao, Sen Oh, Ji Seop Guo, Yucheng Zhang, Yichen Yue, Ziqin Yin, Jia-Xin Hashimoto, Makoto Lu, Donghui Gorovikov, Sergey Dai, Pengcheng Denlinger, Jonathan D. Allen, J. W. Hasan, M. Zahid Feng, Yuan-Ping Birgeneau, Robert J. Shi, Youguo Chu, Ching-Wu Chang, Guoqing Si, Qimiao Yi, Ming |
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Article |
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Huang, Jianwei Setty, Chandan Deng, Liangzi You, Jing-Yang Liu, Hongxiong Shao, Sen Oh, Ji Seop Guo, Yucheng Zhang, Yichen Yue, Ziqin Yin, Jia-Xin Hashimoto, Makoto Lu, Donghui Gorovikov, Sergey Dai, Pengcheng Denlinger, Jonathan D. Allen, J. W. Hasan, M. Zahid Feng, Yuan-Ping Birgeneau, Robert J. Shi, Youguo Chu, Ching-Wu Chang, Guoqing Si, Qimiao Yi, Ming |
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Huang, Jianwei |
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Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor |
title_short |
Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor |
title_full |
Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor |
title_fullStr |
Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor |
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Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor |
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observation of flat bands and dirac cones in a pyrochlore lattice superconductor |
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2024 |
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https://hdl.handle.net/10356/181306 |
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sg-ntu-dr.10356-1813062024-11-25T15:36:16Z Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor Huang, Jianwei Setty, Chandan Deng, Liangzi You, Jing-Yang Liu, Hongxiong Shao, Sen Oh, Ji Seop Guo, Yucheng Zhang, Yichen Yue, Ziqin Yin, Jia-Xin Hashimoto, Makoto Lu, Donghui Gorovikov, Sergey Dai, Pengcheng Denlinger, Jonathan D. Allen, J. W. Hasan, M. Zahid Feng, Yuan-Ping Birgeneau, Robert J. Shi, Youguo Chu, Ching-Wu Chang, Guoqing Si, Qimiao Yi, Ming School of Physical and Mathematical Sciences Physics Dirac cones Flat bands Emergent phases often appear when the electronic kinetic energy is comparable to the Coulomb interactions. One approach to seek material systems as hosts of such emergent phases is to realize localization of electronic wavefunctions due to the geometric frustration inherent in the crystal structure, resulting in flat electronic bands. Recently, such efforts have found a wide range of exotic phases in the two-dimensional kagome lattice, including magnetic order, time-reversal symmetry breaking charge order, nematicity, and superconductivity. However, the interlayer coupling of the kagome layers disrupts the destructive interference needed to completely quench the kinetic energy. Here we demonstrate that an interwoven kagome network—a pyrochlore lattice—can host a three dimensional (3D) localization of electron wavefunctions. Meanwhile, the nonsymmorphic symmetry of the pyrochlore lattice guarantees all band crossings at the Brillouin zone X point to be 3D gapless Dirac points, which was predicted theoretically but never yet observed experimentally. Through a combination of angle-resolved photoemission spectroscopy, fundamental lattice model and density functional theory calculations, we investigate the novel electronic structure of a Laves phase superconductor with a pyrochlore sublattice, CeRu2. We observe evidence of flat bands originating from the Ce 4f orbitals as well as flat bands from the 3D destructive interference of the Ru 4d orbitals. We further observe the nonsymmorphic symmetry-protected 3D gapless Dirac cone at the X point. Our work establishes the pyrochlore structure as a promising lattice platform to realize and tune novel emergent phases intertwining topology and many-body interactions. Nanyang Technological University National Research Foundation (NRF) Published version This research used resources of the Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, which is supported by the U.S. Department Of Energy (DOE), Office of Science, Office of Basic Energy Sciences under Contract No. DE-AC02-76SF00515. The ARPES work at Rice University was supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative through grant No. GBMF9470 and the Robert A. Welch Foundation Grant No. C-2175. The theory work at Rice has been supported by the Air Force Office of Scientific Research under Grant No. FA9550-21-1-0356 (C.S.), the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DESC0018197 (Q.S.), the Robert A. Welch Foundation Grant No. C-1411 (C.S.), and the Vannevar Bush Faculty Fellowship ONR-VB N00014-23- 1-2870 (Q.S.). L.Z.D. and C.W.C are supported by US Air Force Office of Scientific Research Grants FA9550-15-1-0236 and FA9550-20-1-0068, the T. L. L. Temple Foundation, the John J. and Rebecca Moores Endowment, and the State of Texas through the Texas Center for Superconductivity at the University of Houston. Y.S. was supported by the National Natural Science Foundation of China (Grants No. U2032204), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grants No. XDB33030000). S.S. and G.C. are supported by the National Research Foundation, Singapore under its Fellowship Award (NRF-NRFF13-2021-0010) and the Nanyang Assistant Professorship grant from Nanyang Technological University. J.Y.Y. and Y.P.F. are supported by the Ministry of Education, Singapore, under its MOE AcRF Tier 3 Award MOE2018-T3-1-002. P.D. is supported by the U.S. Department of Energy, Office of Basic Energy Sciences, under award no. DE-SC0012311 and by the Robert A. Welch Foundation Grant No. C-1839. Work at University of California, Berkeley, is funded by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division under Contract No. DE-AC02-05-CH11231 (Quantum Materials program KC2202). 2024-11-25T02:39:29Z 2024-11-25T02:39:29Z 2024 Journal Article Huang, J., Setty, C., Deng, L., You, J., Liu, H., Shao, S., Oh, J. S., Guo, Y., Zhang, Y., Yue, Z., Yin, J., Hashimoto, M., Lu, D., Gorovikov, S., Dai, P., Denlinger, J. D., Allen, J. W., Hasan, M. Z., Feng, Y., ...Yi, M. (2024). Observation of flat bands and Dirac cones in a pyrochlore lattice superconductor. Npj Quantum Materials, 9(1), 71-. https://dx.doi.org/10.1038/s41535-024-00683-x 2397-4648 https://hdl.handle.net/10356/181306 10.1038/s41535-024-00683-x 2-s2.0-85204485380 1 9 71 en NRF-NRFF13-2021-0010 NAP npj Quantum Materials © 2024 The Author(s). Open Access. This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. 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