1
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Holzmann M, Calcavecchia F, Ceperley DM, Olevano V. Static Self-Energy and Effective Mass of the Homogeneous Electron Gas from Quantum Monte Carlo Calculations. PHYSICAL REVIEW LETTERS 2023; 131:186501. [PMID: 37977649 DOI: 10.1103/physrevlett.131.186501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2023] [Accepted: 10/06/2023] [Indexed: 11/19/2023]
Abstract
We discuss the methodology of quantum Monte Carlo calculations of the effective mass based on the static self-energy Σ(k,0). We then use variational Monte Carlo calculations of Σ(k,0) of the homogeneous electron gas at various densities to obtain results very close to perturbative G_{0}W_{0} calculations for values of the density parameter 1≤r_{s}≤10. The obtained values for the effective mass are close to diagrammatic Monte Carlo results and disagree with previous quantum Monte Carlo calculations based on a heuristic mapping of excitation energies to those of an ideal gas.
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Affiliation(s)
| | | | - David M Ceperley
- University of Illinois Urbana-Champaign, Urbana, Illinois 61801, USA
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2
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Dornheim T, Tolias P, Moldabekov ZA, Cangi A, Vorberger J. Effective electronic forces and potentials from ab initio path integral Monte Carlo simulations. J Chem Phys 2022; 156:244113. [PMID: 35778089 DOI: 10.1063/5.0097768] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The rigorous description of correlated quantum many-body systems constitutes one of the most challenging tasks in contemporary physics and related disciplines. In this context, a particularly useful tool is the concept of effective pair potentials that take into account the effects of the complex many-body medium consistently. In this work, we present extensive, highly accurate ab initio path integral Monte Carlo (PIMC) results for the effective interaction and the effective force between two electrons in the presence of the uniform electron gas. This gives us a direct insight into finite-size effects, thereby, opening up the possibility for novel domain decompositions and methodological advances. In addition, we present unassailable numerical proof for an effective attraction between two electrons under moderate coupling conditions, without the mediation of an underlying ionic structure. Finally, we compare our exact PIMC results to effective potentials from linear-response theory, and we demonstrate their usefulness for the description of the dynamic structure factor. All PIMC results are made freely available online and can be used as a thorough benchmark for new developments and approximations.
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Affiliation(s)
- Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Panagiotis Tolias
- Space and Plasma Physics, Royal Institute of Technology (KTH), Stockholm SE-100 44, Sweden
| | | | - Attila Cangi
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
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3
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Wollenweber L, Preston TR, Descamps A, Cerantola V, Comley A, Eggert JH, Fletcher LB, Geloni G, Gericke DO, Glenzer SH, Göde S, Hastings J, Humphries OS, Jenei A, Karnbach O, Konopkova Z, Loetzsch R, Marx-Glowna B, McBride EE, McGonegle D, Monaco G, Ofori-Okai BK, Palmer CAJ, Plückthun C, Redmer R, Strohm C, Thorpe I, Tschentscher T, Uschmann I, Wark JS, White TG, Appel K, Gregori G, Zastrau U. High-resolution inelastic x-ray scattering at the high energy density scientific instrument at the European X-Ray Free-Electron Laser. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2021; 92:013101. [PMID: 33514249 DOI: 10.1063/5.0022886] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2020] [Accepted: 12/12/2020] [Indexed: 06/12/2023]
Abstract
We introduce a setup to measure high-resolution inelastic x-ray scattering at the High Energy Density scientific instrument at the European X-Ray Free-Electron Laser (XFEL). The setup uses the Si (533) reflection in a channel-cut monochromator and three spherical diced analyzer crystals in near-backscattering geometry to reach a high spectral resolution. An energy resolution of 44 meV is demonstrated for the experimental setup, close to the theoretically achievable minimum resolution. The analyzer crystals and detector are mounted on a curved-rail system, allowing quick and reliable changes in scattering angle without breaking vacuum. The entire setup is designed for operation at 10 Hz, the same repetition rate as the high-power lasers available at the instrument and the fundamental repetition rate of the European XFEL. Among other measurements, it is envisioned that this setup will allow studies of the dynamics of highly transient laser generated states of matter.
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Affiliation(s)
- L Wollenweber
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - T R Preston
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - A Descamps
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - V Cerantola
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - A Comley
- Atomic Weapons Establishment, Aldermaston, Reading, Berkshire RG7 4PR, United Kingdom
| | - J H Eggert
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - G Geloni
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - D O Gericke
- Centre for Fusion, Space & Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - S H Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - S Göde
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - J Hastings
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - O S Humphries
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - A Jenei
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - O Karnbach
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - Z Konopkova
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - R Loetzsch
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - B Marx-Glowna
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - E E McBride
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - D McGonegle
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - G Monaco
- Dipartimento di Fisica, Universita di Trento, via Sommarive 14, Povo 38123, TN, Italy
| | - B K Ofori-Okai
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - C A J Palmer
- School of Mathematics and Physics, Queen's University Belfast, University Road, BT7 1NN Belfast, United Kingdom
| | - C Plückthun
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - R Redmer
- Universität Rostock, Institut für Physik, Albert-Einstein-Straße 23-24, 18051 Rostock, Germany
| | - C Strohm
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - I Thorpe
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | | | - I Uschmann
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - J S Wark
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - T G White
- Physics Department, University of Nevada at Reno, Reno, Nevada 89506, USA
| | - K Appel
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - G Gregori
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - U Zastrau
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
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4
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Gorelov V, Ceperley DM, Holzmann M, Pierleoni C. Electronic structure and optical properties of quantum crystals from first principles calculations in the Born–Oppenheimer approximation. J Chem Phys 2020; 153:234117. [DOI: 10.1063/5.0031843] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Vitaly Gorelov
- Maison de la Simulation, CEA, CNRS, Univ. Paris-Sud, UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
| | - David M. Ceperley
- Department of Physics, University of Illinois, Urbana, Illinois 61801, USA
| | - Markus Holzmann
- Univ. Grenoble Alpes, CNRS, LPMMC, 3800 Grenoble, France
- Institut Laue Langevin, BP 156, F-38042 Grenoble Cedex 9, France
| | - Carlo Pierleoni
- Maison de la Simulation, CEA, CNRS, Univ. Paris-Sud, UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
- Department of Physical and Chemical Sciences, University of L’Aquila, Via Vetoio 10, I-67010 L’Aquila, Italy
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5
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Kent PRC, Annaberdiyev A, Benali A, Bennett MC, Landinez Borda EJ, Doak P, Hao H, Jordan KD, Krogel JT, Kylänpää I, Lee J, Luo Y, Malone FD, Melton CA, Mitas L, Morales MA, Neuscamman E, Reboredo FA, Rubenstein B, Saritas K, Upadhyay S, Wang G, Zhang S, Zhao L. QMCPACK: Advances in the development, efficiency, and application of auxiliary field and real-space variational and diffusion quantum Monte Carlo. J Chem Phys 2020; 152:174105. [DOI: 10.1063/5.0004860] [Citation(s) in RCA: 43] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Affiliation(s)
- P. R. C. Kent
- Center for Nanophase Materials Sciences Division and Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Abdulgani Annaberdiyev
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
| | - Anouar Benali
- Computational Science Division, Argonne National Laboratory, 9700 S. Cass Avenue, Lemont, Illinois 60439, USA
| | - M. Chandler Bennett
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Edgar Josué Landinez Borda
- Quantum Simulations Group, Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA
| | - Peter Doak
- Center for Nanophase Materials Sciences Division and Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Hongxia Hao
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Kenneth D. Jordan
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
| | - Jaron T. Krogel
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Ilkka Kylänpää
- Computational Physics Laboratory, Tampere University, P.O. Box 692, 33014 Tampere, Finland
| | - Joonho Lee
- Department of Chemistry, Columbia University, New York, New York 10027, USA
| | - Ye Luo
- Computational Science Division, Argonne National Laboratory, 9700 S. Cass Avenue, Lemont, Illinois 60439, USA
| | - Fionn D. Malone
- Quantum Simulations Group, Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA
| | - Cody A. Melton
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - Lubos Mitas
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
| | - Miguel A. Morales
- Quantum Simulations Group, Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Fernando A. Reboredo
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
| | - Brenda Rubenstein
- Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA
| | - Kayahan Saritas
- Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Shiv Upadhyay
- Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
| | - Guangming Wang
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
| | - Shuai Zhang
- Laboratory for Laser Energetics, University of Rochester, 250 E River Rd., Rochester, New York 14623, USA
| | - Luning Zhao
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
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6
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Robarts HC, Millichamp TE, Lagos DA, Laverock J, Billington D, Duffy JA, O'Neill D, Giblin SR, Taylor JW, Kontrym-Sznajd G, Samsel-Czekała M, Bei H, Mu S, Samolyuk GD, Stocks GM, Dugdale SB. Extreme Fermi Surface Smearing in a Maximally Disordered Concentrated Solid Solution. PHYSICAL REVIEW LETTERS 2020; 124:046402. [PMID: 32058766 DOI: 10.1103/physrevlett.124.046402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/09/2019] [Revised: 12/20/2019] [Indexed: 06/10/2023]
Abstract
We show that the Fermi surface can survive the presence of extreme compositional disorder in the equiatomic alloy Ni_{0.25}Fe_{0.25}Co_{0.25}Cr_{0.25}. Our high-resolution Compton scattering experiments reveal a Fermi surface which is smeared across a significant fraction of the Brillouin zone (up to 40% of 2π/a). The extent of this smearing and its variation on and between different sheets of the Fermi surface have been determined, and estimates of the electron mean free path and residual resistivity have been made by connecting this smearing with the coherence length of the quasiparticle states.
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Affiliation(s)
- Hannah C Robarts
- H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
| | - Thomas E Millichamp
- H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
| | - Daniel A Lagos
- H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
| | - Jude Laverock
- H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
| | - David Billington
- Japan Synchrotron Radiation Research Institute, SPring-8, Sayo 679-5198, Japan
- School of Physics and Astronomy, Cardiff University, Queen's Building, The Parade, Cardiff CF24 3AA, United Kingdom
| | - Jonathan A Duffy
- Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - Daniel O'Neill
- Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - Sean R Giblin
- School of Physics and Astronomy, Cardiff University, Queen's Building, The Parade, Cardiff CF24 3AA, United Kingdom
| | - Jonathan W Taylor
- DMSC-European Spallation Source, Universitetsparken 1, Copenhagen 2100, Denmark
| | - Grazyna Kontrym-Sznajd
- Institute of Low Temperature and Structure Research, Polish Academy of Sciences, PO Box 1410, 50-950 Wrocław 2, Poland
| | - Małgorzata Samsel-Czekała
- Institute of Low Temperature and Structure Research, Polish Academy of Sciences, PO Box 1410, 50-950 Wrocław 2, Poland
| | - Hongbin Bei
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Sai Mu
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - German D Samolyuk
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - G Malcolm Stocks
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Stephen B Dugdale
- H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
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7
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Lee J, Malone FD, Morales MA. An auxiliary-Field quantum Monte Carlo perspective on the ground state of the dense uniform electron gas: An investigation with Hartree-Fock trial wavefunctions. J Chem Phys 2019. [DOI: 10.1063/1.5109572] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Joonho Lee
- College of Chemistry, University of California, Berkeley, California 94720, USA
| | - Fionn D. Malone
- Quantum Simulations Group, Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA
| | - Miguel A. Morales
- Quantum Simulations Group, Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94551, USA
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8
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Pierleoni C, Rillo G, Ceperley DM, Holzmann M. Electron localization properties in high pressure hydrogen at the liquid-liquid phase transition by Coupled Electron-Ion Monte Carlo. ACTA ACUST UNITED AC 2018. [DOI: 10.1088/1742-6596/1136/1/012005] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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9
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Kas JJ, Rehr JJ. Finite Temperature Green's Function Approach for Excited State and Thermodynamic Properties of Cool to Warm Dense Matter. PHYSICAL REVIEW LETTERS 2017; 119:176403. [PMID: 29219457 DOI: 10.1103/physrevlett.119.176403] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/24/2017] [Indexed: 06/07/2023]
Abstract
We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state, correlation, and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened Coulomb interaction W, and improves on the GW approximation of many-body perturbation theory. Results for the homogeneous electron gas are presented for a wide range of densities and temperatures, from cool to warm dense matter regimes, which reveal several hitherto unexpected properties. For example, correlation effects remain strong at high T while the exchange-correlation energy becomes small; also the spectral function broadens and damping increases with temperature, blurring the usual quasiparticle picture. These effects are evident, e.g., in Compton scattering which exhibits many-body corrections that persist at normal densities and intermediate T. The approach also yields exchange-correlation energies and potentials in good agreement with existing methods.
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Affiliation(s)
- J J Kas
- Department of Physics, University of Washington, Seattle, Washington 98195, USA
| | - J J Rehr
- Department of Physics, University of Washington, Seattle, Washington 98195, USA
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10
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Hafiz H, Suzuki K, Barbiellini B, Orikasa Y, Callewaert V, Kaprzyk S, Itou M, Yamamoto K, Yamada R, Uchimoto Y, Sakurai Y, Sakurai H, Bansil A. Visualizing redox orbitals and their potentials in advanced lithium-ion battery materials using high-resolution x-ray Compton scattering. SCIENCE ADVANCES 2017; 3:e1700971. [PMID: 28845452 PMCID: PMC5567762 DOI: 10.1126/sciadv.1700971] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/28/2017] [Accepted: 07/27/2017] [Indexed: 05/28/2023]
Abstract
Reduction-oxidation (redox) reactions are the key processes that underlie the batteries powering smartphones, laptops, and electric cars. A redox process involves transfer of electrons between two species. For example, in a lithium-ion battery, current is generated when conduction electrons from the lithium anode are transferred to the redox orbitals of the cathode material. The ability to visualize or image the redox orbitals and how these orbitals evolve under lithiation and delithiation processes is thus of great fundamental and practical interest for understanding the workings of battery materials. We show that inelastic scattering spectroscopy using high-energy x-ray photons (Compton scattering) can yield faithful momentum space images of the redox orbitals by considering lithium iron phosphate (LiFePO4 or LFP) as an exemplar cathode battery material. Our analysis reveals a new link between voltage and the localization of transition metal 3d orbitals and provides insight into the puzzling mechanism of potential shift and how it is connected to the modification of the bond between the transition metal and oxygen atoms. Our study thus opens a novel spectroscopic pathway for improving the performance of battery materials.
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Affiliation(s)
- Hasnain Hafiz
- Department of Physics, Northeastern University, Boston, MA 02115, USA
| | - Kosuke Suzuki
- Faculty of Science and Technology, Gunma University, Kiryu, Gunma 376-8515, Japan
| | | | - Yuki Orikasa
- Department of Applied Chemistry, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan
| | | | - Staszek Kaprzyk
- Department of Physics, Northeastern University, Boston, MA 02115, USA
- Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, aleja Mickiewicza 30, Krakow 30-059, Poland
| | - Masayoshi Itou
- Japan Synchrotron Radiation Research Institute, SPring-8, Sayo, Hyogo 679-5198, Japan
| | - Kentaro Yamamoto
- Graduate School of Human and Environmental Studies, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan
| | - Ryota Yamada
- Faculty of Science and Technology, Gunma University, Kiryu, Gunma 376-8515, Japan
| | - Yoshiharu Uchimoto
- Graduate School of Human and Environmental Studies, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan
| | - Yoshiharu Sakurai
- Japan Synchrotron Radiation Research Institute, SPring-8, Sayo, Hyogo 679-5198, Japan
| | - Hiroshi Sakurai
- Faculty of Science and Technology, Gunma University, Kiryu, Gunma 376-8515, Japan
| | - Arun Bansil
- Department of Physics, Northeastern University, Boston, MA 02115, USA
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11
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Hiraoka N, Nomura T. Electron momentum densities near Dirac cones: Anisotropic Umklapp scattering and momentum broadening. Sci Rep 2017; 7:565. [PMID: 28373659 PMCID: PMC5428786 DOI: 10.1038/s41598-017-00628-4] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2016] [Accepted: 03/08/2017] [Indexed: 11/09/2022] Open
Abstract
The relationship between electron momentum densities (EMDs) and a band gap is clarified in momentum space. The interference between wavefunctions via reciprocal lattice vectors, making a band gap in momentum space, causes the scattering of electrons from the first Brillouin zone to the other zones, so-called Umklapp scattering. This leads to the broadening of EMDs. A sharp drop of the EMD in the limit of a zero gap becomes broadened as the gap opens. The broadening is given by a simple quantity, Eg/vF, where Eg is the gap magnitude and vF the Fermi velocity. As the ideal case to see such an effect, we investigate the EMDs in graphene and graphite. They are basically semimetals, and their EMDs have a hexagonal shape enclosed in the first Brillouin zone. Since the gap is zero at Dirac points, a sharp drop exists at the corners (K/K’ points) while the broadening becomes significant away from K/K’s, showing the smoothest fall at the centers of the edges (M’s). In fact, this unique topology mimics a general variation of the EMDs across the metal-insulator transition in condensed matters. Such an anisotropic broadening effect is indeed observed by momentum-density-based experiments e.g. x-ray Compton scattering.
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Affiliation(s)
- N Hiraoka
- National Synchrotron Radiation Research Center (NSRRC), 101 Hsin-Ann Road, Hsinchu, 30076, Taiwan.
| | - T Nomura
- National Institutes for Quantum and Radiological Science and Technology (QST), SPring-8, 1-1-1 Kouto, Sayo, Hyogo, 679-5148, Japan
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12
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Loos P, Gill PMW. The uniform electron gas. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2016. [DOI: 10.1002/wcms.1257] [Citation(s) in RCA: 68] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Affiliation(s)
| | - Peter M. W. Gill
- Research School of Chemistry Australian National University Canberra Australia
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13
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Aramini M, Niskanen J, Cavallari C, Pontiroli D, Musazay A, Krisch M, Hakala M, Huotari S. Probing the thermal stability and the decomposition mechanism of a magnesium–fullerene polymer via X-ray Raman spectroscopy, X-ray diffraction and molecular dynamics simulations. Phys Chem Chem Phys 2016; 18:5366-71. [DOI: 10.1039/c5cp07783d] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The dynamic decomposition mechanism was established in an element-specific way for a magnesium-intercalated fullerene polymer.
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Affiliation(s)
- Matteo Aramini
- Department of Physics
- University of Helsinki
- P.O. Box 64 00014 Helsinki
- Finland
| | - Johannes Niskanen
- Department of Physics
- University of Helsinki
- P.O. Box 64 00014 Helsinki
- Finland
| | - Chiara Cavallari
- Institut Laue Langevin
- BP 156
- Grenoble
- France
- Dipartimento di Fisica e Scienze della Terra
| | - Daniele Pontiroli
- Dipartimento di Fisica e Scienze della Terra
- Università degli studi di Parma
- 43124 Parma
- Italy
| | - Abdurrahman Musazay
- Department of Physics
- University of Helsinki
- P.O. Box 64 00014 Helsinki
- Finland
| | | | - Mikko Hakala
- Department of Physics
- University of Helsinki
- P.O. Box 64 00014 Helsinki
- Finland
| | - Simo Huotari
- Department of Physics
- University of Helsinki
- P.O. Box 64 00014 Helsinki
- Finland
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14
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McMinis J, Morales MA, Ceperley DM, Kim J. The transition to the metallic state in low density hydrogen. J Chem Phys 2015; 143:194703. [DOI: 10.1063/1.4935808] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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15
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Di Sabatino S, Berger JA, Reining L, Romaniello P. Reduced density-matrix functional theory: Correlation and spectroscopy. J Chem Phys 2015; 143:024108. [DOI: 10.1063/1.4926327] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- S. Di Sabatino
- Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III–Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France and ETSF
| | - J. A. Berger
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université Toulouse III–Paul Sabatier, CNRS, 118 Route de Narbonne, 31062 Toulouse Cedex, France and ETSF
| | - L. Reining
- Laboratoire des Solides Irradiés, École Polytechnique, CNRS, CEA-DSM, 91128 Palaiseau, France and ETSF
| | - P. Romaniello
- Laboratoire de Physique Théorique, CNRS, IRSAMC, Université Toulouse III–Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France and ETSF
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16
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Koskelo J, Juurinen I, Ruotsalainen KO, McGrath MJ, Kuo IF, Lehtola S, Galambosi S, Hämäläinen K, Huotari S, Hakala M. Intra- and intermolecular effects on the Compton profile of the ionic liquid 1,3-dimethylimidazolium chloride. J Chem Phys 2014; 141:244505. [PMID: 25554165 DOI: 10.1063/1.4904278] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a comprehensive simulation study on the solid-liquid phase transition of the ionic liquid 1,3-dimethylimidazolium chloride in terms of the changes in the atomic structure and their effect on the Compton profile. The structures were obtained by using ab initio molecular dynamics simulations. Chosen radial distribution functions of the liquid structure are presented and found generally to be in good agreement with previous ab initio molecular dynamics and neutron scattering studies. The main contributions to the predicted difference Compton profile are found to arise from intermolecular changes in the phase transition. This prediction can be used for interpreting future experiments.
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Affiliation(s)
- J Koskelo
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - I Juurinen
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - K O Ruotsalainen
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - M J McGrath
- Laboratoire des Sciences du Climat et de l'Environnement, CEA-Orme des Merisiers, F-91191 Gif-sur-Yvette CEDEX, France
| | - I-F Kuo
- Physical and Life Sciences Directorate, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - S Lehtola
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - S Galambosi
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - K Hämäläinen
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - S Huotari
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
| | - M Hakala
- Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland
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17
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Shepherd JJ, Henderson TM, Scuseria GE. Range-separated Brueckner coupled cluster doubles theory. PHYSICAL REVIEW LETTERS 2014; 112:133002. [PMID: 24745412 DOI: 10.1103/physrevlett.112.133002] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/23/2013] [Indexed: 06/03/2023]
Abstract
We introduce a range-separation approximation to coupled cluster doubles (CCD) theory that successfully overcomes limitations of regular CCD when applied to the uniform electron gas. We combine the short-range ladder channel with the long-range ring channel in the presence of a Bruckner renormalized one-body interaction and obtain ground-state energies with an accuracy of 0.001 a.u./electron across a wide range of density regimes. Our scheme is particularly useful in the low-density and strongly correlated regimes, where regular CCD has serious drawbacks. Moreover, we cure the infamous overcorrelation of approaches based on ring diagrams (i.e., the particle-hole random phase approximation). Our energies are further shown to have appropriate basis set and thermodynamic limit convergence, and overall this scheme promises energetic properties for realistic periodic and extended systems which existing methods do not possess.
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Affiliation(s)
- James J Shepherd
- Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77005-1892, USA
| | - Thomas M Henderson
- Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77005-1892, USA
| | - Gustavo E Scuseria
- Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77005-1892, USA
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18
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Senesi R, Romanelli G, Adams M, Andreani C. Temperature dependence of the zero point kinetic energy in ice and water above room temperature. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2013.09.010] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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19
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Baguet L, Delyon F, Bernu B, Holzmann M. Hartree-Fock ground state phase diagram of jellium. PHYSICAL REVIEW LETTERS 2013; 111:166402. [PMID: 24182285 DOI: 10.1103/physrevlett.111.166402] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2013] [Indexed: 06/02/2023]
Abstract
We calculate the ground state phase diagram of the homogeneous electron gas in three dimensions within the Hartree-Fock approximation and show that broken symmetry states are energetically favored at any density against the homogeneous Fermi gas state with isotropic Fermi surface. At high density, we find metallic spin-unpolarized solutions where electronic charge and spin density form an incommensurate crystal having more crystal sites than electrons. For r(s)→0, our solutions approach pure spin-density waves, whereas the commensurate Wigner crystal is favored at lower densities, r(s)≳3.4. Decreasing the density, the system undergoes several structural phase transitions with different lattice symmetries. The polarization transition occurs around r(s)≈8.5.
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Affiliation(s)
- L Baguet
- LPTMC, UMR 7600 of CNRS, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, France
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20
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Lehtola J, Manninen P, Hakala M, Hämäläinen K. Completeness-optimized basis sets: Application to ground-state electron momentum densities. J Chem Phys 2012; 137:104105. [DOI: 10.1063/1.4749272] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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21
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Shepherd JJ, Booth GH, Alavi A. Investigation of the full configuration interaction quantum Monte Carlo method using homogeneous electron gas models. J Chem Phys 2012; 136:244101. [DOI: 10.1063/1.4720076] [Citation(s) in RCA: 76] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023] Open
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22
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Lehtola J, Hakala M, Sakko A, Hämäläinen K. ERKALE-A flexible program package for X-ray properties of atoms and molecules. J Comput Chem 2012; 33:1572-85. [DOI: 10.1002/jcc.22987] [Citation(s) in RCA: 59] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2011] [Revised: 02/02/2012] [Accepted: 03/16/2012] [Indexed: 02/04/2023]
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23
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Huotari S, Pylkkänen T, Soininen JA, Kas JJ, Hämäläinen K, Monaco G. X-ray-Raman-scattering-based EXAFS beyond the dipole limit. JOURNAL OF SYNCHROTRON RADIATION 2012; 19:106-113. [PMID: 22186651 DOI: 10.1107/s0909049511039422] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2011] [Accepted: 09/26/2011] [Indexed: 05/31/2023]
Abstract
X-ray Raman scattering (XRS) provides a bulk-sensitive method of measuring the extended X-ray absorption fine structure (EXAFS) of soft X-ray absorption edges. Accurate measurements and data analysis procedures for the determination of XRS-EXAFS of polycrystalline diamond are described. The contributions of various angular-momentum components beyond the dipole limit to the atomic background and the EXAFS oscillations are incorporated using self-consistent real-space multiple-scattering calculations. The properly extracted XRS-EXAFS oscillations are in good agreement with calculations and earlier soft X-ray EXAFS results. It is shown, however, that under certain conditions multiple-scattering contributions to XRS-EXAFS deviate from those in standard EXAFS, leading to noticeable changes in the real-space signal at higher momentum transfers owing to non-dipole contributions. These results pave the way for the accurate application of XRS-EXAFS to previously inaccessible light-element systems.
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Affiliation(s)
- Simo Huotari
- Department of Physics, University of Helsinki, Helsinki, Finland.
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24
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Holzmann M, Bernu B, Ceperley DM. Finite-size analysis of the Fermi liquid properties of the homogeneous electron gas. ACTA ACUST UNITED AC 2011. [DOI: 10.1088/1742-6596/321/1/012020] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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25
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Holzmann M, Bernu B, Pierleoni C, McMinis J, Ceperley DM, Olevano V, Delle Site L. Momentum distribution of the homogeneous electron gas. PHYSICAL REVIEW LETTERS 2011; 107:110402. [PMID: 22026651 DOI: 10.1103/physrevlett.107.110402] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/18/2011] [Revised: 07/06/2011] [Indexed: 05/31/2023]
Abstract
We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased reptation Monte Carlo calculations for various densities and extrapolate the momentum distribution and the kinetic and potential energies to the thermodynamic limit. Our results on the renormalization factor allow us to validate approximate G0W0 calculations concerning quasiparticle properties over a broad density region (1≤r(s)≲10) and show that, near the Fermi surface, vertex corrections and self-consistency aspects almost cancel each other out.
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Affiliation(s)
- Markus Holzmann
- Université Grenoble 1/CNRS, LPMMC UMR 5493, Maison des Magistères, 38042 Grenoble, France
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