1
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Guehne R, Noky J, Yi C, Shekhar C, Vergniory MG, Baenitz M, Felser C. Orbital selective commensurate modulations of the local density of states in ScV 6Sn 6 probed by nuclear spins. Nat Commun 2024; 15:8213. [PMID: 39294113 PMCID: PMC11411110 DOI: 10.1038/s41467-024-52456-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2024] [Accepted: 09/05/2024] [Indexed: 09/20/2024] Open
Abstract
The kagome network is a unique platform that harbors a diversity of special electronic states due to its inherent band structure features comprising Dirac cones, van Hove singularities, and flat bands. Some kagome-based metals have recently been found to exhibit favorable properties, including superconductivity, charge order, and signatures of an anomalous Hall effect. The kagome system ScV6Sn6 is a promising candidate for studying the emergence of an unconventional charge order and accompanying effects. We use 51V nuclear magnetic resonance to explore the local properties of the charge ordered phase in single crystalline ScV6Sn6, aided by density functional theory. We show the local charge symmetry of V to reflect a commensurate modulation with q = 1 3 , 1 3 , 1 3 , the density of states to drop by about a factor of2 during the phase transition, and an unusual orientation dependent change in the shift splitting symmetry to reveal orbital selective modulations of the local density of states.
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Affiliation(s)
- Robin Guehne
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany.
| | - Jonathan Noky
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - Changjiang Yi
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - Chandra Shekhar
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - Maia G Vergniory
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
- Donostia International Physics Center, 20018, Donostia - San Sebastian, Spain
| | - Michael Baenitz
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - Claudia Felser
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
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2
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Jiang YX, Shao S, Xia W, Denner MM, Ingham J, Hossain MS, Qiu Q, Zheng X, Chen H, Cheng ZJ, Yang XP, Kim B, Yin JX, Zhang S, Litskevich M, Zhang Q, Cochran TA, Peng Y, Chang G, Guo Y, Thomale R, Neupert T, Hasan MZ. Van Hove annihilation and nematic instability on a kagome lattice. NATURE MATERIALS 2024; 23:1214-1221. [PMID: 39009656 DOI: 10.1038/s41563-024-01914-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/11/2023] [Accepted: 05/06/2024] [Indexed: 07/17/2024]
Abstract
A nematic phase breaks the point-group symmetry of the crystal lattice and is known to emerge in correlated materials. Here we report the observation of an intra-unit-cell nematic order and associated Fermi surface deformation in the kagome metal ScV6Sn6. Using scanning tunnelling microscopy and scanning tunnelling spectroscopy, we reveal a stripe-like nematic order breaking the crystal rotational symmetry within the kagome lattice itself. Moreover, we identify a set of Van Hove singularities adhering to the kagome-layer electrons, which appear along one direction of the Brillouin zone and are annihilated along other high-symmetry directions, revealing rotational symmetry breaking. Via detailed spectroscopic maps, we further observe an elliptical deformation of the Fermi surface, which provides direct evidence for an electronically mediated nematic order. Our work not only bridges the gap between electronic nematicity and kagome physics but also sheds light on the potential mechanism for realizing symmetry-broken phases in correlated electron systems.
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Affiliation(s)
- Yu-Xiao Jiang
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA.
| | - Sen Shao
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore
| | - Wei Xia
- School of Physical Science and Technology, ShanghaiTech University, Shanghai, China
- ShanghaiTech Laboratory for Topological Physics, ShanghaiTech University, Shanghai, China
| | - M Michael Denner
- Department of Physics, University of Zürich, Zürich, Switzerland
| | - Julian Ingham
- Department of Physics, Columbia University, New York, NY, USA
| | - Md Shafayat Hossain
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Qingzheng Qiu
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Xiquan Zheng
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Hongyu Chen
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore
| | - Zi-Jia Cheng
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Xian P Yang
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Byunghoon Kim
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Jia-Xin Yin
- Department of physics, Southern University of Science and Technology, Shenzhen, China
| | - Songbo Zhang
- Department of Physics, University of Zürich, Zürich, Switzerland
| | - Maksim Litskevich
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Qi Zhang
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Tyler A Cochran
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA
| | - Yingying Peng
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Guoqing Chang
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore
| | - Yanfeng Guo
- School of Physical Science and Technology, ShanghaiTech University, Shanghai, China
- ShanghaiTech Laboratory for Topological Physics, ShanghaiTech University, Shanghai, China
| | - Ronny Thomale
- Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, Würzburg, Germany
| | - Titus Neupert
- Department of Physics, University of Zürich, Zürich, Switzerland
| | - M Zahid Hasan
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy, Department of Physics, Princeton University, Princeton, NJ, USA.
- Quantum Science Center, Oak Ridge, TN, USA.
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3
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Liu SB, Tian C, Fang Y, Rong H, Cao L, Wei X, Cui H, Chen M, Chen D, Song Y, Cui J, Li J, Guan S, Jia S, Chen C, He W, Huang F, Jiang Y, Mao J, Xie XC, Law KT, Chen JH. Nematic Ising superconductivity with hidden magnetism in few-layer 6R-TaS 2. Nat Commun 2024; 15:7569. [PMID: 39217153 PMCID: PMC11365993 DOI: 10.1038/s41467-024-51631-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/09/2024] [Accepted: 08/14/2024] [Indexed: 09/04/2024] Open
Abstract
In van der Waals heterostructures (vdWHs), the manipulation of interlayer stacking/coupling allows for the construction of customizable quantum systems exhibiting exotic physics. An illustrative example is the diverse range of states of matter achieved through varying the proximity coupling between two-dimensional (2D) quantum spin liquid (QSL) and superconductors within the TaS2 family. This study presents a demonstration of the intertwined physics of spontaneous rotational symmetry breaking, hidden magnetism, and Ising superconductivity (SC) in the three-fold rotationally symmetric, non-magnetic natural vdWHs 6R-TaS2. A distinctive phase emerges in 6R-TaS2 below a characteristic temperature (T*) of approximately 30 K, which is characterized by a remarkable set of features, including a giant extrinsic anomalous Hall effect (AHE), Kondo screening, magnetic field-tunable thermal hysteresis, and nematic magneto-resistance. At lower temperatures, a coexistence of nematicity and Kondo screening with Ising superconductivity is observed, providing compelling evidence of hidden magnetism within a superconductor. This research not only sheds light on unexpected emergent physics resulting from the coupling of itinerant electrons and localized/correlated electrons in natural vdWHs but also emphasizes the potential for tailoring exotic quantum states through the manipulation of interlayer interactions.
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Affiliation(s)
- Shao-Bo Liu
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Congkuan Tian
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Yuqiang Fang
- School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, China
| | - Hongtao Rong
- Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen, China
| | - Lu Cao
- College of Materials Science and Optoelectronic Technology, Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing, China
| | - Xinjian Wei
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Hang Cui
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Mantang Chen
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Di Chen
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Yuanjun Song
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Jian Cui
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Jiankun Li
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Shuyue Guan
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Shuang Jia
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Chaoyu Chen
- Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen, China
| | - Wenyu He
- School of Physical Science and Technology, ShanghaiTech University, Shanghai, China
| | - Fuqiang Huang
- School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, China.
| | - Yuhang Jiang
- College of Materials Science and Optoelectronic Technology, Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing, China.
| | - Jinhai Mao
- CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing, China
| | - X C Xie
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
- Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai, China
- Hefei National Laboratory, Hefei, China
| | - Kam Tuen Law
- Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China
| | - Jian-Hao Chen
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China.
- Beijing Academy of Quantum Information Sciences, Beijing, China.
- Hefei National Laboratory, Hefei, China.
- Key Laboratory for the Physics and Chemistry of Nanodevices, Peking University, Beijing, China.
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4
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Jia L, Chen Y, Yang G, Lv W, Zhang C, Zhou L, Han X, Zhang Q, Yang H, Lei H, Zhang Y, Gao HJ, Wang Y. Nanoscale Visualization of Symmetry-Breaking Electronic Orders and Magnetic Anisotropy in a Kagome Magnet YMn 6Sn 6. NANO LETTERS 2024; 24:8843-8850. [PMID: 39007508 DOI: 10.1021/acs.nanolett.4c01368] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/16/2024]
Abstract
A kagome lattice hosts a plethora of quantum states arising from the interplay between nontrivial topology and electron correlations. The recently discovered kagome magnet RMn6Sn6 (R represents a rare-earth element) is believed to showcase a kagome band closely resembling textbook characteristics. Here, we report the characterization of local electronic states and their magnetization response in YMn6Sn6 via scanning tunneling microscopy measurements under vector magnetic fields. Our spectroscopic maps reveal a spontaneously trimerized kagome electronic order in YMn6Sn6, where the 6-fold rotational symmetry is disrupted while translational symmetry is maintained. Further application of an external magnetic field demonstrates a strong coupling of the YMn6Sn6 kagome band to the field, which exhibits an energy shift discrepancy under different field directions, implying the existence of magnetization-response anisotropy and anomalous g factors. Our findings establish YMn6Sn6 as an ideal platform for investigating kagome-derived orbital magnetic moment and correlated magnetic topological states.
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Affiliation(s)
- Liangguang Jia
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Yaoyao Chen
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Guoyuan Yang
- Advanced Research Institute of Multidisciplinary Sciences, Beijing Institute of Technology, Beijing 100081, China
| | - Wenxin Lv
- Department of Physics, Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), and Beijing Key Laboratory of Optoelectronic Functional Materials & Micro-nano Devices, Renmin University of China, Beijing 100872, China
| | - Can Zhang
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Lili Zhou
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Xu Han
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Quanzhen Zhang
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Huixia Yang
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
| | - Hechang Lei
- Department of Physics, Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), and Beijing Key Laboratory of Optoelectronic Functional Materials & Micro-nano Devices, Renmin University of China, Beijing 100872, China
| | - Yu Zhang
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
- Advanced Research Institute of Multidisciplinary Sciences, Beijing Institute of Technology, Beijing 100081, China
| | - Hong-Jun Gao
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Yeliang Wang
- School of Integrated Circuits and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
- Yangtze Delta Region Academy, Beijing Institute of Technology, Jiaxing, Zhejiang 314000, China
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5
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Zheng G, Zhu Y, Mozaffari S, Mao N, Chen KW, Jenkins K, Zhang D, Chan A, Arachchige HWS, Madhogaria RP, Cothrine M, Meier WR, Zhang Y, Mandrus D, Li L. Quantum oscillations evidence for topological bands in kagome metal ScV 6Sn 6. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2024; 36:215501. [PMID: 38335546 DOI: 10.1088/1361-648x/ad2803] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/13/2023] [Accepted: 02/09/2024] [Indexed: 02/12/2024]
Abstract
Metals with kagome lattice provide bulk materials to host both the flat-band and Dirac electronic dispersions. A new family of kagome metals is recently discovered inAV6Sn6. The Dirac electronic structures of this material needs more experimental evidence to confirm. In the manuscript, we investigate this problem by resolving the quantum oscillations in both electrical transport and magnetization in ScV6Sn6. The revealed orbits are consistent with the electronic band structure models. Furthermore, the Berry phase of a dominating orbit is revealed to be aroundπ, providing direct evidence for the topological band structure, which is consistent with calculations. Our results demonstrate a rich physics and shed light on the correlated topological ground state of this kagome metal.
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Affiliation(s)
- Guoxin Zheng
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
| | - Yuan Zhu
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
| | - Shirin Mozaffari
- Materials Science and Engineering Department, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
| | - Ning Mao
- Max Planck Institute for Chemical Physics of Solids, Dresden 01187, Germany
| | - Kuan-Wen Chen
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
| | - Kaila Jenkins
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
| | - Dechen Zhang
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
| | - Aaron Chan
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
| | - Hasitha W Suriya Arachchige
- Materials Science and Engineering Department, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
| | - Richa P Madhogaria
- Materials Science and Engineering Department, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
| | - Matthew Cothrine
- Materials Science and Engineering Department, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
| | - William R Meier
- Materials Science and Engineering Department, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
| | - Yang Zhang
- Department of Physics and Astronomy, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
- Min H. Kao Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996, United States of America
| | - David Mandrus
- Materials Science and Engineering Department, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
- Department of Physics and Astronomy, University of Tennessee Knoxville, Knoxville, TN 37996, United States of America
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, United States of America
| | - Lu Li
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America
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6
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Hu Y, Ma J, Li Y, Jiang Y, Gawryluk DJ, Hu T, Teyssier J, Multian V, Yin Z, Xu S, Shin S, Plokhikh I, Han X, Plumb NC, Liu Y, Yin JX, Guguchia Z, Zhao Y, Schnyder AP, Wu X, Pomjakushina E, Hasan MZ, Wang N, Shi M. Phonon promoted charge density wave in topological kagome metal ScV 6Sn 6. Nat Commun 2024; 15:1658. [PMID: 38395887 PMCID: PMC10891150 DOI: 10.1038/s41467-024-45859-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/26/2023] [Accepted: 02/05/2024] [Indexed: 02/25/2024] Open
Abstract
Charge density wave (CDW) orders in vanadium-based kagome metals have recently received tremendous attention, yet their origin remains a topic of debate. The discovery of ScV6Sn6, a bilayer kagome metal featuring an intriguing [Formula: see text] CDW order, offers a novel platform to explore the underlying mechanism behind the unconventional CDW. Here, we combine high-resolution angle-resolved photoemission spectroscopy, Raman scattering and density functional theory to investigate the electronic structure and phonon modes of ScV6Sn6. We identify topologically nontrivial surface states and multiple van Hove singularities (VHSs) in the vicinity of the Fermi level, with one VHS aligning with the in-plane component of the CDW vector near the [Formula: see text] point. Additionally, Raman measurements indicate a strong electron-phonon coupling, as evidenced by a two-phonon mode and new emergent modes. Our findings highlight the fundamental role of lattice degrees of freedom in promoting the CDW in ScV6Sn6.
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Affiliation(s)
- Yong Hu
- Photon Science Division, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland.
- Center of Quantum Materials and Devices and Department of Applied Physics, Chongqing University, 401331, Chongqing, China.
| | - Junzhang Ma
- Department of Physics, City University of Hong Kong, Kowloon, Hong Kong, China
- City University of Hong Kong Shenzhen Research Institute, Shenzhen, China
- Hong Kong Institute for Advanced Study, City University of Hong Kong, Kowloon, Hong Kong, China
| | - Yinxiang Li
- College of Science, University of Shanghai for Science and Technology, 200093, Shanghai, China
| | - Yuxiao Jiang
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy (B7), Department of Physics, Princeton University, Princeton, NJ, USA
| | - Dariusz Jakub Gawryluk
- Laboratory for Multiscale Materials Experiments, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland
| | - Tianchen Hu
- International Center for Quantum Materials, School of Physics, Peking University, 100871, Beijing, China
| | - Jérémie Teyssier
- Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, 1211, Geneva 4, Switzerland
| | - Volodymyr Multian
- Advanced Materials Nonlinear Optical Diagnostics lab, Institute of Physics, NAS of Ukraine, 46 Nauky pr., 03028, Kyiv, Ukraine
| | - Zhouyi Yin
- Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology of China, Shenzhen, Guangdong, 518055, China
| | - Shuxiang Xu
- International Center for Quantum Materials, School of Physics, Peking University, 100871, Beijing, China
| | - Soohyeon Shin
- Laboratory for Multiscale Materials Experiments, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland
| | - Igor Plokhikh
- Laboratory for Multiscale Materials Experiments, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland
| | - Xinloong Han
- Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, 100190, Beijing, China
| | - Nicholas C Plumb
- Photon Science Division, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland
| | - Yang Liu
- Center for Correlated Matter and Department of Physics, Zhejiang University, 310058, Hangzhou, China
| | - Jia-Xin Yin
- Department of physics, Southern University of Science and Technology, 518055, Shenzhen, Guangdong, China
| | - Zurab Guguchia
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, CH-5232, Villigen PSI, Switzerland
| | - Yue Zhao
- Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology of China, Shenzhen, Guangdong, 518055, China
| | - Andreas P Schnyder
- Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569, Stuttgart, Germany
| | - Xianxin Wu
- CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China.
| | - Ekaterina Pomjakushina
- Laboratory for Multiscale Materials Experiments, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland
| | - M Zahid Hasan
- Laboratory for Topological Quantum Matter and Advanced Spectroscopy (B7), Department of Physics, Princeton University, Princeton, NJ, USA
| | - Nanlin Wang
- International Center for Quantum Materials, School of Physics, Peking University, 100871, Beijing, China
- Beijing Academy of Quantum Information Sciences, Beijing, 100913, China
- Collaborative Innovation Center of Quantum Matter, Beijing, 100871, China
| | - Ming Shi
- Photon Science Division, Paul Scherrer Institut, CH-5232, Villigen PSI, Switzerland.
- Center for Correlated Matter and Department of Physics, Zhejiang University, 310058, Hangzhou, China.
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7
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Tazai R, Yamakawa Y, Kontani H. Drastic magnetic-field-induced chiral current order and emergent current-bond-field interplay in kagome metals. Proc Natl Acad Sci U S A 2024; 121:e2303476121. [PMID: 38207076 PMCID: PMC10801867 DOI: 10.1073/pnas.2303476121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2023] [Accepted: 11/22/2023] [Indexed: 01/13/2024] Open
Abstract
In kagome metals, the chiral current order parameter [Formula: see text] with time-reversal-symmetry-breaking is the source of various exotic electronic states, while the method of controlling the current order and its interplay with the star-of-David bond order [Formula: see text] are still unsolved. Here, we reveal that tiny uniform orbital magnetization [Formula: see text] is induced by the chiral current order, and its magnitude is prominently enlarged under the presence of the bond order. Importantly, we derive the magnetic-field ([Formula: see text])-induced Ginzburg-Landau (GL) free energy expression [Formula: see text], which enables us to elucidate the field-induced current-bond phase transitions in kagome metals. The emergent current-bond-[Formula: see text] trilinear coupling term in the free energy, [Formula: see text], naturally explains the characteristic magnetic-field sensitive electronic states in kagome metals, such as the field-induced current order and the strong interplay between the bond and current orders. The GL coefficients of [Formula: see text] derived from the realistic multiorbital model are appropriate to explain various experiments. Furthermore, we discuss the field-induced loop current orders in the square lattice models that have been studied in cuprate superconductors.
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Affiliation(s)
- Rina Tazai
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto606-8502, Japan
| | | | - Hiroshi Kontani
- Department of Physics, Nagoya University, Nagoya464-8602, Japan
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