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Schüler M, Schmitt T, Werner P. Probing magnetic orbitals and Berry curvature with circular dichroism in resonant inelastic X-ray scattering. NPJ QUANTUM MATERIALS 2023; 8:6. [PMID: 38666242 PMCID: PMC11041711 DOI: 10.1038/s41535-023-00538-x] [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: 08/28/2022] [Accepted: 01/04/2023] [Indexed: 04/28/2024]
Abstract
Resonant inelastic X-ray scattering (RIXS) can probe localized excitations at selected atoms in materials, including particle-hole transitions between the valence and conduction bands. These transitions are governed by fundamental properties of the corresponding Bloch wave functions, including orbital and magnetic degrees of freedom, and quantum geometric properties such as the Berry curvature. In particular, orbital angular momentum (OAM), which is closely linked to the Berry curvature, can exhibit a nontrivial momentum dependence. We demonstrate how information on such OAM textures can be extracted from the circular dichroism in RIXS. Based on accurate modeling with a first-principles treatment of the key ingredient-the light-matter interaction-we simulate dichroic RIXS spectra for the prototypical transition-metal dichalcogenide MoSe2 and the two-dimensional topological insulator 1T'-MoS2. Guided by an intuitive picture of the optical selection rules, we discuss how the momentum-dependent OAM manifests itself in the dichroic RIXS signal if one controls the momentum transfer. Our calculations are performed for typical experimental geometries and parameter regimes, and demonstrate the possibility of observing the predicted circular dichroism in forthcoming experiments. Thus, our work establishes a new avenue for observing Berry curvature and topological states in quantum materials.
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Affiliation(s)
- Michael Schüler
- Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
- Laboratory for Materials Simulations, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
- Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland
| | - Thorsten Schmitt
- Photon Science Division, Swiss Light Source, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
| | - Philipp Werner
- Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland
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Moretti Sala M, Martel K, Henriquet C, Al Zein A, Simonelli L, Sahle CJ, Gonzalez H, Lagier MC, Ponchut C, Huotari S, Verbeni R, Krisch M, Monaco G. A high-energy-resolution resonant inelastic X-ray scattering spectrometer at ID20 of the European Synchrotron Radiation Facility. JOURNAL OF SYNCHROTRON RADIATION 2018; 25:580-591. [PMID: 29488940 DOI: 10.1107/s1600577518001200] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/11/2017] [Accepted: 01/19/2018] [Indexed: 06/08/2023]
Abstract
An end-station for resonant inelastic X-ray scattering and (resonant) X-ray emission spectroscopy at beamline ID20 of ESRF - The European Synchrotron is presented. The spectrometer hosts five crystal analysers in Rowland geometry for large solid angle collection and is mounted on a rotatable arm for scattering in both the horizontal and vertical planes. The spectrometer is optimized for high-energy-resolution applications, including partial fluorescence yield or high-energy-resolution fluorescence detected X-ray absorption spectroscopy and the study of elementary electronic excitations in solids. In addition, it can be used for non-resonant inelastic X-ray scattering measurements of valence electron excitations.
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Affiliation(s)
- M Moretti Sala
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - K Martel
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - C Henriquet
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - A Al Zein
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - L Simonelli
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - Ch J Sahle
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - H Gonzalez
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - M C Lagier
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - C Ponchut
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - S Huotari
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - R Verbeni
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - M Krisch
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
| | - G Monaco
- ESRF, The European Synchrotron, 71 Avenue des Martyrs, F-38000 Grenoble, France
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Huang Z, Mongan S, Datta T, Yao DX. Indirect K-edge bimagnon resonant inelastic x-ray scattering spectrum of α-FeTe. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:505802. [PMID: 29125474 DOI: 10.1088/1361-648x/aa99c5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We calculate the K-edge indirect bimagnon resonant inelastic x-ray scattering (RIXS) intensity spectra of the bicollinear antiferromagnetic order known to occur in the α-FeTe chalcogenide system. Utilizing linear spin wave theory for this large-S spin system we find that the bimagnon spectrum contains four scattering channels (two intraband and two interband). We find from our calculations that for suitable energy-momentum combination the RIXS spectra can exhibit a one-, two- or three- peak structure. The number of peaks provides a clue on the various bimagnon excitation processes that can be supported both in and within the acoustic and optical magnon branches of the bicollinear antiferromagnet. Unlike the RIXS response of the antiferromagnetic or the collinear antiferromagnetic spin ordering, the RIXS intensity spectrum of the bicollinear antiferromagnet does not vanish at the magnetic ordering wave vector [Formula: see text]. It is also sensitive to next-next nearest neighbor and biquadratic coupling interactions. Our predicted RIXS spectrum can be utilized to understand the role of multi-channel bimagnon spin excitations present in the α-FeTe chalcogenide.
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Affiliation(s)
- Zengye Huang
- State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics, Sun Yat-sen University, Guangzhou 510275, People's Republic of China
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Marra P, van den Brink J, Sykora S. Theoretical approach to resonant inelastic x-ray scattering in iron-based superconductors at the energy scale of the superconducting gap. Sci Rep 2016; 6:25386. [PMID: 27151253 PMCID: PMC4858731 DOI: 10.1038/srep25386] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2016] [Accepted: 04/04/2016] [Indexed: 11/09/2022] Open
Abstract
We develop a phenomenological theory to predict the characteristic features of the momentum-dependent scattering amplitude in resonant inelastic x-ray scattering (RIXS) at the energy scale of the superconducting gap in iron-based super-conductors. Taking into account all relevant orbital states as well as their specific content along the Fermi surface we evaluate the charge and spin dynamical structure factors for the compounds LaOFeAs and LiFeAs, based on tight-binding models which are fully consistent with recent angle-resolved photoemission spectroscopy (ARPES) data. We find a characteristic intensity redistribution between charge and spin dynamical structure factors which discriminates between sign-reversing and sign-preserving quasiparticle excitations. Consequently, our results show that RIXS spectra can distinguish between s± and s++ wave gap functions in the singlet pairing case. In addition, we find that an analogous intensity redistribution at small momenta can reveal the presence of a chiral p-wave triplet pairing.
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Affiliation(s)
- Pasquale Marra
- CNR-SPIN Salerno, I-84084 Fisciano (Salerno), Italy
- Department of Physics “E. R. Caianiello”, University of Salerno, I-84084 Fisciano (Salerno), Italy
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany
| | - Jeroen van den Brink
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany
- Department of Physics, TU Dresden, D-01062 Dresden, Germany
| | - Steffen Sykora
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany
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Huang HY, Jia CJ, Chen ZY, Wohlfeld K, Moritz B, Devereaux TP, Wu WB, Okamoto J, Lee WS, Hashimoto M, He Y, Shen ZX, Yoshida Y, Eisaki H, Mou CY, Chen CT, Huang DJ. Raman and fluorescence characteristics of resonant inelastic X-ray scattering from doped superconducting cuprates. Sci Rep 2016; 6:19657. [PMID: 26794437 PMCID: PMC4726252 DOI: 10.1038/srep19657] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2015] [Accepted: 12/15/2015] [Indexed: 11/23/2022] Open
Abstract
Measurements of spin excitations are essential for an understanding of spin-mediated pairing for superconductivity; and resonant inelastic X-ray scattering (RIXS) provides a considerable opportunity to probe high-energy spin excitations. However, whether RIXS correctly measures the collective spin excitations of doped superconducting cuprates remains under debate. Here we demonstrate distinct Raman- and fluorescence-like RIXS excitations of Bi1.5Pb0.6Sr1.54CaCu2O8+δ. Combining photon-energy and momentum dependent RIXS measurements with theoretical calculations using exact diagonalization provides conclusive evidence that the Raman-like RIXS excitations correspond to collective spin excitations, which are magnons in the undoped Mott insulators and evolve into paramagnons in doped superconducting compounds. In contrast, the fluorescence-like shifts are due primarily to the continuum of particle-hole excitations in the charge channel. Our results show that under the proper experimental conditions RIXS indeed can be used to probe paramagnons in doped high-Tc cuprate superconductors.
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Affiliation(s)
- H Y Huang
- National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan.,Program of Science and Technology of Synchrotron Light Source, National Tsing Hua University, Hsinchu 30013, Taiwan
| | - C J Jia
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Z Y Chen
- Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan
| | - K Wohlfeld
- Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, PL-02093 Warsaw, Poland
| | - B Moritz
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - T P Devereaux
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - W B Wu
- National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan
| | - J Okamoto
- National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan
| | - W S Lee
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - M Hashimoto
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Y He
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Applied Physics, Stanford University, Stanford, California 94305, USA
| | - Z X Shen
- SIMES, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Applied Physics, Stanford University, Stanford, California 94305, USA.,Department of Physics, Stanford University, Stanford, California 94305, USA
| | - Y Yoshida
- Nanoelectronics Research Institute, National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki 305-8562, Japan
| | - H Eisaki
- Nanoelectronics Research Institute, National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki 305-8562, Japan
| | - C Y Mou
- Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan
| | - C T Chen
- National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan
| | - D J Huang
- National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan.,Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan
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Schmitt T, de Groot FMF, Rubensson JE. Prospects of high-resolution resonant X-ray inelastic scattering studies on solid materials, liquids and gases at diffraction-limited storage rings. JOURNAL OF SYNCHROTRON RADIATION 2014; 21:1065-76. [PMID: 25177995 PMCID: PMC4151682 DOI: 10.1107/s1600577514017123] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2014] [Accepted: 07/24/2014] [Indexed: 05/29/2023]
Abstract
The spectroscopic technique of resonant inelastic X-ray scattering (RIXS) will particularly profit from immensely improved brilliance of diffraction-limited storage rings (DLSRs). In RIXS one measures the intensities of excitations as a function of energy and momentum transfer. DLSRs will allow for pushing the achievable energy resolution, signal intensity and the sampled spot size to new limits. With RIXS one nowadays probes a broad range of electronic systems reaching from simple molecules to complex materials displaying phenomena like peculiar magnetism, two-dimensional electron gases, superconductivity, photovoltaic energy conversion and heterogeneous catalysis. In this article the types of improved RIXS studies that will become possible with X-ray beams from DLSRs are envisioned.
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Affiliation(s)
- Thorsten Schmitt
- Research Department Synchrotron Radiation and Nanotechnology, Paul Scherrer Institut, Swiss Light Source, WSLA/123, 5232 Villigen PSI, Switzerland
| | - Frank M. F. de Groot
- Inorganic Chemistry and Catalysis, Debye Institute for Nanomaterials Science, Utrecht University, Universiteitsweg 99, Utrecht 3584 CG, The Netherlands
| | - Jan-Erik Rubensson
- Department of Physics and Astronomy, Uppsala University, Box 516, Uppsala 751 20, Sweden
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Kalavathi S, Amirthapandian S, Chandra S, Sahu PC, Sahu HK. Valence state, hybridization and electronic band structure in the charge ordered AlV2O4. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:015601. [PMID: 24285259 DOI: 10.1088/0953-8984/26/1/015601] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
The valence state, hybridization and electronic band structure of charge ordered AlV2O4 are investigated by measuring the electron energy loss spectra (EELS) and performing band structure calculations using the WIEN2k code. White line ratio and O K edges of V2O5, VO2, V2O3 and AlV2O4, obtained using electron energy loss spectroscopy, are analysed specifically to probe systematically the VO6 octahedra in all of them. The systematic decrease of the L2 intensity and the O K edge intensity from V(5+) in V2O5 to AlV2O4 indicates a progressive increase in the occupancy of the hybridized states, which is corroborated by the absence of a transition from O 1s to hybridized 2t(2g). Band structure calculations on the parent charge frustrated cubic phase and the charge ordered rhombohedral phase clearly document a band gap in the charge ordered state. From the structural information obtained after convergence and the spectroscopic information from EELS, it appears that partial orbital occupancy may lead to a deviation from an integral valence state on all the vanadium in this exotic charge ordered spinel system.
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Affiliation(s)
- S Kalavathi
- Materials Science Group, Indira Gandhi Centre for Atomic Research, Kalpakkam 603 102, India
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Marra P, Sykora S, Wohlfeld K, van den Brink J. Resonant inelastic x-ray scattering as a probe of the phase and excitations of the order parameter of superconductors. PHYSICAL REVIEW LETTERS 2013; 110:117005. [PMID: 25166567 DOI: 10.1103/physrevlett.110.117005] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2012] [Indexed: 06/03/2023]
Abstract
The capability to probe the dispersion of elementary spin, charge, orbital, and lattice excitations has positioned resonant inelastic x-ray scattering (RIXS) at the forefront of photon science. Here we develop the scattering theory for RIXS on superconductors, calculating its momentum-dependent scattering amplitude. Considering superconductors with different pairing symmetries, we show that the low-energy scattering is strongly affected by the superconducting gap and coherence factors. This establishes RIXS as a tool to disentangle pairing symmetries and to probe the elementary excitations of unconventional superconductors.
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Affiliation(s)
- Pasquale Marra
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany
| | - Steffen Sykora
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany
| | - Krzysztof Wohlfeld
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany
| | - Jeroen van den Brink
- Institute for Theoretical Solid State Physics, IFW Dresden, D-01069 Dresden, Germany and Department of Physics, TU Dresden, D-01062 Dresden, Germany
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