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Kohn anomaly and elastic softening in body-centered cubic molybdenum at high pressure

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [5];  [5];  [6];  [7]
  1. Jishou University, Hunan (China); Beijing Institute of Technology (China)
  2. Sichuan Univ., Chengdu (China)
  3. Univ. of Illinois, Chicago, IL (United States)
  4. Center for High Pressure Science and Technology Advanced Research (HPSTAR), Shanghai (China)
  5. Argonne National Laboratory (ANL), Argonne, IL (United States)
  6. Beijing Institute of Technology (China)
  7. Univ. of Texas, Austin, TX (United States)
Transition metals in body-centered cubic (bcc) structures under compression can display several novel physical properties because of their complex electronic structures and electron-phonon interactions. Here, we used inelastic x-ray scattering experiments in a diamond-anvil cell up to ∼45 GPa and density-functional theory calculations up to 210 GPa to investigate the phonon dispersions, and electronic and elastic properties of single-crystal molybdenum (Mo). Our results show a pressure-induced Kohn anomaly at 𝑞∼0.5 along the [ξ00] direction in the longitudinal acoustic mode at ∼45 GPa; this anomaly is triggered by the pressure-enhanced Fermi-surface nesting effect. Theoretical calculations show that electron redistributions in the 𝑠-to-𝑑 orbitals of bcc-Mo contribute to the shear modulus anomaly at ∼50 GPa. In contrast, the Young's modulus anomaly in bcc-Mo at ∼210 GPa results from a Lifshitz-type electronic topological transition. In conclusion, our results shed light on the complex electronic behaviors that are associated with macroscopic elastic properties in typical bcc 𝑑-block transition metals under compression.
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
National Key R&D Program of China; National Natural Science Foundation of China (NSFC); Natural Science Fund Project of Hunan Province, China; Scientific Research Fund of Hunan Provincial Education Department, China; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
AC02-06CH11357; NA0003975
OSTI ID:
2574234
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 9 Vol. 105; ISSN 2469-9969; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (75)

Analytic projection from plane-wave and PAW wavefunctions and application to chemical-bonding analysis in solids journal September 2013
Lattice dynamics of molybdenum journal August 1964
The theory of electronic topological transitions journal September 1994
Magnetic ground state properties of transition metals journal January 1977
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Computer graphics and graphical user interfaces as tools in simulations of matter at the atomic scale journal October 2003
Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures journal January 2014
Pseudopotentials for high-throughput DFT calculations journal January 2014
ABINIT: First-principles approach to material and nanosystem properties journal December 2009
An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions journal August 2014
FermiSurfer: Fermi-surface viewer providing multiple representation schemes journal June 2019
Iron isotope differences between Earth, Moon, Mars and Vesta as possible records of contrasted accretion mechanisms journal July 2004
Calculation of elastic constants of 4d transition metals journal September 2004
Superconductivity in the metallic elements at high pressures journal July 2015
New materials from high-pressure experiments journal September 2002
Thermal equation of state of Molybdenum determined from in situ synchrotron X-ray diffraction with laser-heated diamond anvil cells journal February 2016
X-ray diffraction measurements of Mo melting to 119 GPa and the high pressure phase diagram journal March 2009
Experimental and theoretical studies on the elasticity of molybdenum to 12 GPa journal August 2009
Solid phase stability of molybdenum under compression: Sound velocity measurements and first-principles calculations journal February 2015
First-principles investigation of elastic anomalies in niobium at high pressure and temperature journal December 2017
Unusual lattice dynamics of vanadium under high pressure journal October 2007
Phonon spectroscopy by inelastic x-ray scattering journal January 2000
On the initial softness in the equation of state of the d band metals journal June 1983
Spectroscopy with meV energy resolution journal August 2001
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Ruby fluorescence pressure scale: Revisited journal May 2013
Images of the Fermi Surface in Phonon Spectra of Metals journal June 1962
Lattice Dynamics of Niobium-Molybdenum Alloys journal July 1968
Kohn Anomalies in Tungsten and Other Cr-Group Metals journal January 1970
Pressure effect on Kohn anomaly and electronic topological transition in single-crystal tantalum journal August 2019
Melting curve of vanadium up to 256 GPa: Consistency between experiments and theory journal December 2020
The s − d transition in compressed lanthanum journal May 1981
Temperature dependence of the vibrational modes of molybdenum journal July 1983
Crystal structure from one-electron theory journal February 1985
Pressure-induced sd transfer and the equation of state of molybdenum journal April 1990
Ultrahigh-pressure structural phase transitions in Cr, Mo, and W journal February 1992
Ab initiomolecular dynamics for liquid metals journal January 1993
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Electron-phonon coupling in the metallic elements Al, Au, Na, and Nb: A first-principles study journal May 1998
Systematics of transition-metal melting journal March 2001
Melting curve of tantalum from first principles journal June 2007
Melting of transition metals at high pressure and the influence of liquid frustration: The early metals Ta and Mo journal November 2007
Elasticity of the superconducting metals V, Nb, Ta, Mo, and W at high pressure journal June 2008
First-principles calculations of the ferroelastic transition between rutile-type and CaCl 2 -type SiO 2 at high pressures journal October 2008
Temperature of the inner-core boundary of the Earth: Melting of iron at high pressure from first-principles coexistence simulations journal February 2009
Shear softening in tantalum at megabar pressures journal October 2010
Measurement of strong phonon softening in Cr with and without Fermi-surface nesting by inelastic x-ray scattering journal November 2010
High-pressure structural transformations of Sn up to 138 GPa: Angle-dispersive synchrotron x-ray diffraction study journal September 2013
Molybdenum sound velocity and shear modulus softening under shock compression journal May 2014
Comment on “Molybdenum sound velocity and shear modulus softening under shock compression” journal July 2015
Reply to “Comment on ‘Molybdenum sound velocity and shear modulus softening under shock compression’ ” journal July 2015
Sound velocity in shock compressed molybdenum obtained by ab initio molecular dynamics journal August 2015
X-ray diffraction of molybdenum under shock compression to 450 GPa journal November 2015
High-pressure melting behavior of tin up to 105 GPa journal February 2017
Molybdenum at High Pressure and Temperature: Melting from Another Solid Phase journal April 2008
Comment on “Molybdenum at High Pressure and Temperature: Melting from Another Solid Phase” journal July 2008
Phonons in Disordered Niobium-Molybdenum Alloys journal November 1965
Image of the Fermi Surface in the Vibration Spectrum of a Metal journal May 1959
Acoustic Velocities and Phase Transitions in Molybdenum under Strong Shock Compression journal February 1989
New high-pressure phase transition in zirconium metal journal January 1990
Trends of the elastic constants of cubic transition metals journal May 1992
High-Pressure Melting of Molybdenum journal May 2004
Lattice Dynamics of Molybdenum at High Pressure journal March 2006
Structural Phase Transition of Vanadium at 69 GPa journal February 2007
Electron-phonon interactions from first principles journal February 2017
New developments in fabrication of high-energy-resolution analyzers for inelastic X-ray spectroscopy journal March 2011
Six-reflection meV-monochromator for synchrotron radiation journal May 2011
High-energy-resolution inelastic X-ray scattering spectrometer at beamline 30-ID of the Advanced Photon Source journal April 2020
Iron-Silicon Alloy in Earth's Core? journal January 2002
Energy Gaps and Kohn Anomalies in Elemental Superconductors journal March 2008
The Structure of Iron in Earth's Inner Core journal October 2010
Ab initio Force Constant Approach to Phonon Dispersion Relations of Diamond and Graphite journal December 1995
Kohn Anomaly and Phase Stability in Group VB Transition Metals journal March 2018
A Review of the Melting Curves of Transition Metals at High Pressures Using Static Compression Techniques journal April 2021
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  • Azuah, Richard Tumanjong; Kneller, Larry R.; Qiu, Yiming
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