1
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Xie Y, Chalus N, Wang Z, Yao W, Liu J, Yao Y, White JS, DeBeer-Schmitt LM, Yin JX, Dai P, Eskildsen MR. Conventional superconductivity in the doped kagome superconductor Cs(V 0.86Ta 0.14) 3Sb 5 from vortex lattice studies. Nat Commun 2024; 15:6467. [PMID: 39085284 PMCID: PMC11291979 DOI: 10.1038/s41467-024-50856-2] [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: 03/09/2024] [Accepted: 07/22/2024] [Indexed: 08/02/2024] Open
Abstract
A hallmark of unconventional superconductors is a complex electronic phase diagram where intertwined orders of charge-spin-lattice degrees of freedom compete and coexist. While the kagome metals such as CsV3Sb5 also exhibit complex behavior, involving coexisting charge density wave order and superconductivity, much is unclear about the microscopic origin of the superconducting pairing. We study the vortex lattice in the superconducting state of Cs(V0.86Ta0.14)3Sb5, where the Ta-doping suppresses charge order and enhances superconductivity. Using small-angle neutron scattering, a strictly bulk probe, we show that the vortex lattice exhibits a strikingly conventional behavior. This includes a triangular symmetry with a period consistent with 2e-pairing, a field dependent scattering intensity that follows a London model, and a temperature dependence consistent with a uniform superconducting gap. Our results suggest that optimal bulk superconductivity in Cs(V1-xTax)3Sb5 arises from a conventional Bardeen-Cooper-Schrieffer electron-lattice coupling, different from spin fluctuation mediated unconventional copper- and iron-based superconductors.
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Affiliation(s)
- Yaofeng Xie
- Department of Physics and Astronomy, Rice University, Houston, TX, USA
| | - Nathan Chalus
- Department of Physics and Astronomy, University of Notre Dame, Notre Dame, IN, USA
| | - Zhiwei Wang
- Centre for Quantum Physics, Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement (MOE), School of Physics, Beijing Institute of Technology, Beijing, China
- Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing, China
- Material Science Center, Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing, China
| | - Weiliang Yao
- Department of Physics and Astronomy, Rice University, Houston, TX, USA
| | - Jinjin Liu
- Centre for Quantum Physics, Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement (MOE), School of Physics, Beijing Institute of Technology, Beijing, China
- Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing, China
| | - Yugui Yao
- Centre for Quantum Physics, Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement (MOE), School of Physics, Beijing Institute of Technology, Beijing, China
- Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing, China
- Material Science Center, Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing, China
| | - Jonathan S White
- Laboratory for Neutron Scattering and Imaging (LNS), PSI Center for Neutron and Muon Sciences, Paul Scherrer Institute, Villigen PSI, Switzerland
| | - Lisa M DeBeer-Schmitt
- Large Scale Structures Section, Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
| | - Jia-Xin Yin
- Department of Physics, Southern University of Science and Technology, Shenzhen, China
| | - Pengcheng Dai
- Department of Physics and Astronomy, Rice University, Houston, TX, USA
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2
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Roychowdhury S, Samanta K, Singh S, Schnelle W, Zhang Y, Noky J, Vergniory MG, Shekhar C, Felser C. Enhancement of the anomalous Hall effect by distorting the Kagome lattice in an antiferromagnetic material. Proc Natl Acad Sci U S A 2024; 121:e2401970121. [PMID: 39008668 PMCID: PMC11287124 DOI: 10.1073/pnas.2401970121] [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: 01/29/2024] [Accepted: 06/06/2024] [Indexed: 07/17/2024] Open
Abstract
In topological magnetic materials, the topology of the electronic wave function is strongly coupled to the structure of the magnetic order. In general, ferromagnetic Weyl semimetals generate a strong anomalous Hall conductivity (AHC) due to a large Berry curvature that scales with their magnetization. In contrast, a comparatively small AHC is observed in noncollinear antiferromagnets. We investigated HoAgGe, an antiferromagnetic (AFM) Kagome spin-ice compound, which crystallizes in a hexagonal ZrNiAl-type structure in which Ho atoms are arranged in a distorted Kagome lattice, forming an intermetallic Kagome spin-ice state in the ab-plane. It exhibits a large topological Hall resistivity of ~1.6 µΩ-cm at 2.0 K in a field of ~3 T owing to the noncoplanar structure. Interestingly, a total AHC of 2,800 Ω-1 cm-1 is observed at ~45 K, i.e., 4 TN, which is quite unusual and goes beyond the normal expectation considering HoAgGe as an AFM Kagome spin-ice compound with a TN of ~11 K. We demonstrate further that the AHC below TN results from the nonvanishing Berry curvature generated by the formation of Weyl points under the influence of the external magnetic field, while the skew scattering led by Kagome spins dominates above the TN. These results offer a unique opportunity to study frustration in AFM Kagome lattice compounds.
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Affiliation(s)
- Subhajit Roychowdhury
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
- Department of Chemistry, Indian Institute of Science Education and Research Bhopal, Bhopal462066, India
| | - Kartik Samanta
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
| | - Sukriti Singh
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
| | - Walter Schnelle
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
| | - Yang Zhang
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN37996
- Min H. Kao Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN37996
| | - Jonathan Noky
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
| | - Maia G. Vergniory
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
- Donostia International Physics Center, Donostia-San Sebastian20018, Spain
| | - Chandra Shekhar
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
| | - Claudia Felser
- Department of Topological Quantum Chemistry, Max Planck Institute for Chemical Physics of Solids, 01187Dresden, Germany
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3
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Xing Y, Bae S, Ritz E, Yang F, Birol T, Capa Salinas AN, Ortiz BR, Wilson SD, Wang Z, Fernandes RM, Madhavan V. Optical manipulation of the charge-density-wave state in RbV 3Sb 5. Nature 2024; 631:60-66. [PMID: 38867046 DOI: 10.1038/s41586-024-07519-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2023] [Accepted: 05/03/2024] [Indexed: 06/14/2024]
Abstract
Broken time-reversal symmetry in the absence of spin order indicates the presence of unusual phases such as orbital magnetism and loop currents1-4. The recently discovered kagome superconductors AV3Sb5 (where A is K, Rb or Cs)5,6 display an exotic charge-density-wave (CDW) state and have emerged as a strong candidate for materials hosting a loop current phase. The idea that the CDW breaks time-reversal symmetry7-14 is, however, being intensely debated due to conflicting experimental data15-17. Here we use laser-coupled scanning tunnelling microscopy to study RbV3Sb5. By applying linearly polarized light along high-symmetry directions, we show that the relative intensities of the CDW peaks can be reversibly switched, implying a substantial electro-striction response, indicative of strong nonlinear electron-phonon coupling. A similar CDW intensity switching is observed with perpendicular magnetic fields, which implies an unusual piezo-magnetic response that, in turn, requires time-reversal symmetry breaking. We show that the simplest CDW that satisfies these constraints is an out-of-phase combination of bond charge order and loop currents that we dub a congruent CDW flux phase. Our laser scanning tunnelling microscopy data open the door to the possibility of dynamic optical control of complex quantum phenomenon in correlated materials.
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Affiliation(s)
- Yuqing Xing
- Department of Physics and Materials Research Laboratory, University of Illinois Urbana-Champaign, Urbana, IL, USA
| | - Seokjin Bae
- Department of Physics and Materials Research Laboratory, University of Illinois Urbana-Champaign, Urbana, IL, USA
| | - Ethan Ritz
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN, USA
| | - Fan Yang
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN, USA
| | - Turan Birol
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN, USA
| | - Andrea N Capa Salinas
- Materials Department, University of California Santa Barbara, Santa Barbara, CA, USA
| | - Brenden R Ortiz
- Materials Department, University of California Santa Barbara, Santa Barbara, CA, USA
| | - Stephen D Wilson
- Materials Department, University of California Santa Barbara, Santa Barbara, CA, USA
| | - Ziqiang Wang
- Department of Physics, Boston College, Chestnut Hill, MA, USA
| | - Rafael M Fernandes
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, USA
| | - Vidya Madhavan
- Department of Physics and Materials Research Laboratory, University of Illinois Urbana-Champaign, Urbana, IL, USA.
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4
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Wei X, Tian C, Cui H, Zhai Y, Li Y, Liu S, Song Y, Feng Y, Huang M, Wang Z, Liu Y, Xiong Q, Yao Y, Xie XC, Chen JH. Three-dimensional hidden phase probed by in-plane magnetotransport in kagome metal CsV 3Sb 5 thin flakes. Nat Commun 2024; 15:5038. [PMID: 38866771 PMCID: PMC11169564 DOI: 10.1038/s41467-024-49248-3] [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: 05/09/2023] [Accepted: 05/27/2024] [Indexed: 06/14/2024] Open
Abstract
Transition metal compounds with kagome structure have been found to exhibit a variety of exotic structural, electronic, and magnetic orders. These orders are competing with energies very close to each other, resulting in complex phase transitions. Some of the phases are easily observable, such as the charge density wave (CDW) and the superconducting phase, while others are more challenging to identify and characterize. Here we present magneto-transport evidence of a new phase below ~ 35 K in the kagome topological metal CsV3Sb5 (CVS) thin flakes between the CDW and the superconducting transition temperatures. This phase is characterized by six-fold rotational symmetry in the in-plane magnetoresistance (MR) and is connected to the orbital current order in CVS. Furthermore, the phase is characterized by a large in-plane negative magnetoresistance, which suggests the existence of a three-dimensional, magnetic field-tunable orbital current ordered phase. Our results highlight the potential of magneto-transport to reveal the interactions between exotic quantum states of matter and to uncover the symmetry of such hidden phases.
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Affiliation(s)
- Xinjian Wei
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Congkuan Tian
- Beijing Academy of Quantum Information Sciences, Beijing, China
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Hang Cui
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Yuxin Zhai
- State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, China
| | - Yongkai Li
- Centre for Quantum Physics, Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement, School of Physics, Beijing Institute of Technology, Beijing, China
- Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing, China
- Material Science Center, Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing, China
| | - Shaobo Liu
- Beijing Academy of Quantum Information Sciences, Beijing, China
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
| | - Yuanjun Song
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Ya Feng
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Miaoling Huang
- Beijing Academy of Quantum Information Sciences, Beijing, China
| | - Zhiwei Wang
- Centre for Quantum Physics, Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement, School of Physics, Beijing Institute of Technology, Beijing, China
- Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing, China
- Material Science Center, Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing, China
| | - Yi Liu
- Center for Advanced Quantum Studies and Department of Physics, Beijing Normal University, Beijing, China
| | - Qihua Xiong
- Beijing Academy of Quantum Information Sciences, Beijing, China
- State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, China
| | - Yugui Yao
- Centre for Quantum Physics, Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement, School of Physics, Beijing Institute of Technology, Beijing, China
- Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing, China
- Material Science Center, Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing, China
| | - X C Xie
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China
- Hefei National Laboratory, Hefei, China
- Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai, China
| | - Jian-Hao Chen
- Beijing Academy of Quantum Information Sciences, Beijing, China.
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, China.
- Hefei National Laboratory, Hefei, China.
- Key Laboratory for the Physics and Chemistry of Nanodevices, Peking University, Beijing, China.
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5
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Zhang W, Poon TF, Tsang CW, Wang W, Liu X, Xie J, Lam ST, Wang S, Lai KT, Pourret A, Seyfarth G, Knebel G, Yu WC, Goh SK. Large Fermi surface in pristine kagome metal CsV 3Sb 5 and enhanced quasiparticle effective masses. Proc Natl Acad Sci U S A 2024; 121:e2322270121. [PMID: 38753515 PMCID: PMC11127005 DOI: 10.1073/pnas.2322270121] [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: 12/18/2023] [Accepted: 04/17/2024] [Indexed: 05/18/2024] Open
Abstract
The kagome metal CsV[Formula: see text]Sb[Formula: see text] is an ideal platform to study the interplay between topology and electron correlation. To understand the fermiology of CsV[Formula: see text]Sb[Formula: see text], intensive quantum oscillation (QO) studies at ambient pressure have been conducted. However, due to the Fermi surface reconstruction by the complicated charge density wave (CDW) order, the QO spectrum is exceedingly complex, hindering a complete understanding of the fermiology. Here, we directly map the Fermi surface of the pristine CsV[Formula: see text]Sb[Formula: see text] by measuring Shubnikov-de Haas QOs up to 29 T under pressure, where the CDW order is completely suppressed. The QO spectrum of the pristine CsV[Formula: see text]Sb[Formula: see text] is significantly simpler than the one in the CDW phase, and the detected oscillation frequencies agree well with our density functional theory calculations. In particular, a frequency as large as 8,200 T is detected. Pressure-dependent QO studies further reveal a weak but noticeable enhancement of the quasiparticle effective masses on approaching the critical pressure where the CDW order disappears, hinting at the presence of quantum fluctuations. Our high-pressure QO results reveal the large, unreconstructed Fermi surface of CsV[Formula: see text]Sb[Formula: see text], paving the way to understanding the parent state of this intriguing metal in which the electrons can be organized into different ordered states.
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Affiliation(s)
- Wei Zhang
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - Tsz Fung Poon
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - Chun Wai Tsang
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - Wenyan Wang
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - X. Liu
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - J. Xie
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - S. T. Lam
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - Shanmin Wang
- Department of Physics, Southern University of Science and Technology, Shenzhen, Guangdong518005, China
| | - Kwing To Lai
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
- Shenzhen Research Institute, The Chinese University of Hong Kong, Shatin, Hong Kong, China
| | - A. Pourret
- Université Grenoble Alpes, Commissariat à l’énergie atomique et aux énergies alternatives, Institut polytechnique de Grenoble, Institut de recherche interdisciplinaire de Grenoble, Laboratoire Photonique Electronique et Ingénierie Quantiques, Grenoble38000, France
| | - G. Seyfarth
- Laboratoire National des Champs Magnétiques Intenses, Université Grenoble Alpes, Grenoble38000, France
- Laboratoire National des Champs Magnétiques Intenses, Centre National de la Recherche Scientifique, Université Paul Sabatier Toulouse 3, Institut National des Sciences Appliquées Toulouse, European Magnetic Field Laboratory, Grenoble38000, France
| | - G. Knebel
- Université Grenoble Alpes, Commissariat à l’énergie atomique et aux énergies alternatives, Institut polytechnique de Grenoble, Institut de recherche interdisciplinaire de Grenoble, Laboratoire Photonique Electronique et Ingénierie Quantiques, Grenoble38000, France
| | - Wing Chi Yu
- Department of Physics, City University of Hong Kong, Kowloon, Hong Kong, China
| | - Swee K. Goh
- Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
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6
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Frachet M, Wang L, Xia W, Guo Y, He M, Maraytta N, Heid R, Haghighirad AA, Merz M, Meingast C, Hardy F. Colossal c-Axis Response and Lack of Rotational Symmetry Breaking within the Kagome Planes of the CsV_{3}Sb_{5} Superconductor. PHYSICAL REVIEW LETTERS 2024; 132:186001. [PMID: 38759199 DOI: 10.1103/physrevlett.132.186001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/11/2023] [Revised: 03/14/2024] [Accepted: 03/26/2024] [Indexed: 05/19/2024]
Abstract
The kagome materials AV_{3}Sb_{5} (A=K, Rb, Cs) host an intriguing interplay between unconventional superconductivity and charge-density waves. Here, we investigate CsV_{3}Sb_{5} by combining high-resolution thermal-expansion, heat-capacity, and electrical resistance under strain measurements. We directly unveil that the superconducting and charge-ordered states strongly compete, and that this competition is dramatically influenced by tuning the crystallographic c axis. In addition, we report the absence of additional bulk phase transitions within the charge-ordered state, notably associated with rotational symmetry breaking within the kagome planes. This suggests that any breaking of the C_{6} invariance occurs via different stacking of C_{6}-symmetric kagome patterns. Finally, we find that the charge-density-wave phase exhibits an enhanced A_{1g}-symmetric elastoresistance coefficient, whose large increase at low temperature is driven by electronic degrees of freedom.
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Affiliation(s)
- Mehdi Frachet
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - Liran Wang
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - Wei Xia
- School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
- ShanghaiTech Laboratory for Topological Physics, Shanghai 201210, China
| | - Yanfeng Guo
- School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
- ShanghaiTech Laboratory for Topological Physics, Shanghai 201210, China
| | - Mingquan He
- Low Temperature Physics Laboratory, College of Physics and Center of Quantum Materials and Devices, Chongqing University, Chongqing 401331, China
| | - Nour Maraytta
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - Rolf Heid
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - Amir-Abbas Haghighirad
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - Michael Merz
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
- Karlsruhe Nano Micro Facility (KNMFi), Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany
| | - Christoph Meingast
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
| | - Frédéric Hardy
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, D-76021 Karlsruhe, Germany
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7
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Li H, Kim YB, Kee HY. Intertwined Van Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals. PHYSICAL REVIEW LETTERS 2024; 132:146501. [PMID: 38640369 DOI: 10.1103/physrevlett.132.146501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/11/2023] [Revised: 11/28/2023] [Accepted: 02/27/2024] [Indexed: 04/21/2024]
Abstract
Recent experiments on kagome metals AV_{3}Sb_{5} (A=Cs,Rb,K) indicated spontaneous time-reversal symmetry breaking in the charge density wave state in the absence of static magnetization. The loop current order (LCO) is proposed as its cause, but a microscopic model explaining the emergence of LCO through electronic correlations has not been firmly established. We show that the coupling between van Hove singularities with distinct mirror symmetries is a key ingredient to generate LCO ground state. By constructing an effective model, we find that when multiple van Hove singularities with opposite mirror eigenvalues are close in energy, the nearest-neighbor electron repulsion favors a ground state with coexisting LCO and charge bond order. It is then demonstrated that this mechanism applies to the kagome metals AV_{3}Sb_{5}. Our findings provide an intriguing mechanism of LCO and pave the way for a deeper understanding of complex quantum phenomena in kagome systems.
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Affiliation(s)
- Heqiu Li
- Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
| | - Yong Baek Kim
- Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
- School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea
| | - Hae-Young Kee
- Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
- Canadian Institute for Advanced Research, CIFAR Program in Quantum Materials, Toronto, Ontario M5G 1M1, Canada
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8
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Guo C, Wagner G, Putzke C, Chen D, Wang K, Zhang L, Gutierrez-Amigo M, Errea I, Vergniory MG, Felser C, Fischer MH, Neupert T, Moll PJW. Correlated order at the tipping point in the kagome metal CsV 3Sb 5. NATURE PHYSICS 2024; 20:579-584. [PMID: 38638456 PMCID: PMC11021193 DOI: 10.1038/s41567-023-02374-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 04/11/2023] [Accepted: 12/08/2023] [Indexed: 04/20/2024]
Abstract
Spontaneously broken symmetries are at the heart of many phenomena of quantum matter and physics more generally. However, determining the exact symmetries that are broken can be challenging due to imperfections such as strain, in particular when multiple electronic orders are competing. This is exemplified by charge order in some kagome systems, where evidence of nematicity and flux order from orbital currents remains inconclusive due to contradictory measurements. Here we clarify this controversy by fabricating highly symmetric samples of a member of this family, CsV3Sb5, and measuring their transport properties. We find that a measurable anisotropy is absent at any temperature in the unperturbed material. However, a pronounced in-plane transport anisotropy appears when either weak magnetic fields or strains are present. A symmetry analysis indicates that a perpendicular magnetic field can indeed lead to in-plane anisotropy by inducing a flux order coexisting with more conventional bond order. Our results provide a unifying picture for the controversial charge order in kagome metals and highlight the need for materials control at the microscopic scale in the identification of broken symmetries.
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Affiliation(s)
- Chunyu Guo
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
| | - Glenn Wagner
- Department of Physics, University of Zürich, Zürich, Switzerland
| | - Carsten Putzke
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
| | - Dong Chen
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- College of Physics, Qingdao University, Qingdao, China
| | - Kaize Wang
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
| | - Ling Zhang
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
| | - Martin Gutierrez-Amigo
- Centro de Física de Materiales (CSIC-UPV/EHU), Donostia-San Sebastian, Spain
- Department of Physics, University of the Basque Country (UPV/EHU), Bilbao, Spain
| | - Ion Errea
- Centro de Física de Materiales (CSIC-UPV/EHU), Donostia-San Sebastian, Spain
- Donostia International Physics Center, Donostia-San Sebastian, Spain
- Fisika Aplikatua Saila, Gipuzkoako Ingeniaritza Eskola, University of the Basque Country (UPV/EHU), Donostia-San Sebastian, Spain
| | - Maia G. Vergniory
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- Donostia International Physics Center, Donostia-San Sebastian, Spain
| | - Claudia Felser
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
| | - Mark H. Fischer
- Department of Physics, University of Zürich, Zürich, Switzerland
| | - Titus Neupert
- Department of Physics, University of Zürich, Zürich, Switzerland
| | - Philip J. W. Moll
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
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9
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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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10
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Tazai R, Yamakawa Y, Kontani H. Charge-loop current order and Z 3 nematicity mediated by bond order fluctuations in kagome metals. Nat Commun 2023; 14:7845. [PMID: 38030600 PMCID: PMC10687221 DOI: 10.1038/s41467-023-42952-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2022] [Accepted: 10/25/2023] [Indexed: 12/01/2023] Open
Abstract
Recent experiments on geometrically frustrated kagome metal AV3Sb5 (A = K, Rb, Cs) have revealed the emergence of the charge loop current (cLC) order near the bond order (BO) phase. However, the origin of the cLC and its interplay with other phases have been uncovered. Here, we propose a novel mechanism of the cLC state, by focusing on the BO phase common in kagome metals. The BO fluctuations in kagome metals, which emerges due to the Coulomb interaction and the electron-phonon coupling, mediate the odd-parity particle-hole condensation that gives rise to the topological current order. Furthermore, the predicted cLC+BO phase gives rise to the Z3-nematic state in addition to the giant anomalous Hall effect. The present theory predicts the close relationship between the cLC, the BO, and the nematicity, which is significant to understand the cascade of quantum electron states in kagome metals. The present scenario provides a natural understanding.
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Grants
- JP20K22328 Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- JP22K14003 Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- JP19H05825 Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- JP20K03858 Ministry of Education, Culture, Sports, Science and Technology (MEXT)
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Affiliation(s)
- Rina Tazai
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan.
| | - Youichi Yamakawa
- Department of Physics, Nagoya University, Furo-cho, Nagoya, 464-8602, Japan
| | - Hiroshi Kontani
- Department of Physics, Nagoya University, Furo-cho, Nagoya, 464-8602, Japan
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11
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Korshunov A, Hu H, Subires D, Jiang Y, Călugăru D, Feng X, Rajapitamahuni A, Yi C, Roychowdhury S, Vergniory MG, Strempfer J, Shekhar C, Vescovo E, Chernyshov D, Said AH, Bosak A, Felser C, Bernevig BA, Blanco-Canosa S. Softening of a flat phonon mode in the kagome ScV 6Sn 6. Nat Commun 2023; 14:6646. [PMID: 37863907 PMCID: PMC10589229 DOI: 10.1038/s41467-023-42186-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/25/2023] [Accepted: 09/29/2023] [Indexed: 10/22/2023] Open
Abstract
Geometrically frustrated kagome lattices are raising as novel platforms to engineer correlated topological electron flat bands that are prominent to electronic instabilities. Here, we demonstrate a phonon softening at the kz = π plane in ScV6Sn6. The low energy longitudinal phonon collapses at ~98 K and q = [Formula: see text] due to the electron-phonon interaction, without the emergence of long-range charge order which sets in at a different propagation vector qCDW = [Formula: see text]. Theoretical calculations corroborate the experimental finding to indicate that the leading instability is located at [Formula: see text] of a rather flat mode. We relate the phonon renormalization to the orbital-resolved susceptibility of the trigonal Sn atoms and explain the approximately flat phonon dispersion. Our data report the first example of the collapse of a kagome bosonic mode and promote the 166 compounds of kagomes as primary candidates to explore correlated flat phonon-topological flat electron physics.
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Affiliation(s)
- A Korshunov
- European Synchrotron Radiation Facility (ESRF), BP 220, F-38043, Grenoble, France
| | - H Hu
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal, 20018, San Sebastián, Spain
| | - D Subires
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal, 20018, San Sebastián, Spain
| | - Y Jiang
- Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China
- University of Chinese Academy of Sciences, Beijing, 100049, China
| | - D Călugăru
- Department of Physics, Princeton University, Princeton, NJ, 08544, USA
| | - X Feng
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal, 20018, San Sebastián, Spain
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - A Rajapitamahuni
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - C Yi
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - S Roychowdhury
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - M G Vergniory
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal, 20018, San Sebastián, Spain
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - J Strempfer
- Advanced Photon Source, Argonne National Laboratory, Lemont, IL, 60439, USA
| | - C Shekhar
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - E Vescovo
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - D Chernyshov
- Swiss-Norwegian BeamLines at European Synchrotron Radiation Facility, Grenoble, France
| | - A H Said
- Advanced Photon Source, Argonne National Laboratory, Lemont, IL, 60439, USA
| | - A Bosak
- European Synchrotron Radiation Facility (ESRF), BP 220, F-38043, Grenoble, France
| | - C Felser
- Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany
| | - B Andrei Bernevig
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal, 20018, San Sebastián, Spain.
- Department of Physics, Princeton University, Princeton, NJ, 08544, USA.
- IKERBASQUE, Basque Foundation for Science, 48013, Bilbao, Spain.
| | - S Blanco-Canosa
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal, 20018, San Sebastián, Spain.
- IKERBASQUE, Basque Foundation for Science, 48013, Bilbao, Spain.
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12
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Farhang C, Wang J, Ortiz BR, Wilson SD, Xia J. Unconventional specular optical rotation in the charge ordered state of Kagome metal CsV 3Sb 5. Nat Commun 2023; 14:5326. [PMID: 37658070 PMCID: PMC10474032 DOI: 10.1038/s41467-023-41080-5] [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: 04/25/2023] [Accepted: 08/23/2023] [Indexed: 09/03/2023] Open
Abstract
Kagome metals AV3Sb5 (A = K, Cs, Rb) provide a rich platform for intertwined orders, where evidence for time-reversal symmetry breaking, likely due to the long-sought loop currents, has emerged in STM and muon spin relaxation experiments. An isotropic component in the spontaneous optical rotation has also been reported and was interpreted as the magneto-optic Kerr effect. Intriguingly, the observed rotations differ by five orders of magnitude between different wavelengths and samples, suggesting more intricate physics. Here we report optical rotation and polar Kerr measurements in CsV3Sb5 crystals at the same wavelength. We observe large isotropic components of 1 milliradian in the optical rotation that do not respond to applied magnetic fields, while the spontaneous Kerr signal is less than 20 nanoradians. Our results prove unambiguously that the reported isotropic rotation is not from time-reversal symmetry breaking but represents the long-sought specular optical rotation and indicates a new intertwined order.
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Affiliation(s)
- Camron Farhang
- Department of Physics and Astronomy, University of California, Irvine, CA, 92697, USA
| | - Jingyuan Wang
- Department of Physics and Astronomy, University of California, Irvine, CA, 92697, USA
| | - Brenden R Ortiz
- Materials Department, University of California, Santa Barbara, Santa Barbara, CA, 93106, USA
| | - Stephen D Wilson
- Materials Department, University of California, Santa Barbara, Santa Barbara, CA, 93106, USA
| | - Jing Xia
- Department of Physics and Astronomy, University of California, Irvine, CA, 92697, USA.
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13
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Tan H, Li Y, Liu Y, Kaplan D, Wang Z, Yan B. Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV 3Sb 5. NPJ QUANTUM MATERIALS 2023; 8:39. [PMID: 38666241 PMCID: PMC11041708 DOI: 10.1038/s41535-023-00571-w] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/13/2023] [Accepted: 07/15/2023] [Indexed: 04/28/2024]
Abstract
The recently discovered kagome materials AV3Sb5 (A = K, Rb, Cs) attract intense research interest in intertwined topology, superconductivity, and charge density waves (CDW). Although the in-plane 2 × 2 CDW is well studied, its out-of-plane structural correlation with the Fermi surface properties is less understood. In this work, we advance the theoretical description of quantum oscillations and investigate the Fermi surface properties in the three-dimensional CDW phase of CsV3Sb5. We derived Fermi-energy-resolved and layer-resolved quantum orbits that agree quantitatively with recent experiments in the fundamental frequency, cyclotron mass, and topology. We reveal a complex Dirac nodal network that would lead to a π Berry phase of a quantum orbit in the spinless case. However, the phase shift of topological quantum orbits is contributed by the orbital moment and Zeeman effect besides the Berry phase in the presence of spin-orbital coupling (SOC). Therefore, we can observe topological quantum orbits with a π phase shift in otherwise trivial orbits without SOC, contrary to common perception. Our work reveals the rich topological nature of kagome materials and paves a path to resolve different topological origins of quantum orbits.
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Affiliation(s)
- Hengxin Tan
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 7610001 Israel
| | - Yongkang Li
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 7610001 Israel
| | - Yizhou Liu
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 7610001 Israel
| | - Daniel Kaplan
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 7610001 Israel
| | - Ziqiang Wang
- Department of Physics, Boston College, Chestnut Hill, MA 02467 USA
| | - Binghai Yan
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 7610001 Israel
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