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Title: From one to three, exploring the rungs of Jacob’s ladder in magnetic alloys

Journal Article · · European Physical Journal. B, Condensed Matter and Complex Systems

Magnetic systems represent an important challenge for electronic structure methods, in particular Density Functional Theory (DFT), which uses a single determinant wavefunction. To assess the predictions obtained by DFT in this type of materials, we benchmark different exchange correlation functionals with respect to each other, and with respect to available experimental data, on two families of binary iron alloys which are metallic and magnetic. We climb three rungs in Jacob’s ladder of DFT (i) the local density approximation, (ii) the industry standard approximation due to Perdew, Burke and Ernzerhof, and the revised version for solids, PBEsol (iii) and finally a very accurate meta-GGA functional SCAN, which corresponds to the third rung. More than 350 structures in ferromagnetic and antiferromagnetic configurations were considered. We compare the Convex Hull, the calculated magnetic moment, crystal structure, formation energy and electronic gap if present. We conclude that none of the functionals work in all conditions: whereas PBE and PBEsol can give a fair description of the crystal structure and the energetics, SCAN strongly overestimates the formation energy – giving values which are at least twice as large as PBE (and experiment). Magnetic moments are better predicted by PBE as well. Finally, our results show that magnetic and strongly correlated materials are a tough litmus test for DFT, and that they represent the next frontier in the development of a truly universal exchange correlation functionals.

Research Organization:
West Virginia Univ., Morgantown, WV (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
DOE Contract Number:
SC0016176; ACI-1053575; 2.5020.11; G.A. 1117545; DMREF-NSF 1434897; NSF OAC-1740111
OSTI ID:
1594883
Journal Information:
European Physical Journal. B, Condensed Matter and Complex Systems, Vol. 91, Issue 8; ISSN 1434-6028
Publisher:
Springer
Country of Publication:
United States
Language:
English

References (48)

Generalized Gradient Approximation Made Simple journal October 1996
Libxc: A library of exchange and correlation functionals for density functional theory journal October 2012
Density Functionals with Broad Applicability in Chemistry journal February 2008
Projector augmented-wave method journal December 1994
Hybrid functionals based on a screened Coulomb potential journal May 2003
Transverse Spin-Gradient Functional for Noncollinear Spin-Density-Functional Theory journal October 2013
Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis journal August 1980
A simple effective potential for exchange journal June 2006
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
The AFLOW Library of Crystallographic Prototypes: Part 1 journal August 2017
Bold diagrammatic Monte Carlo technique for frustrated spin systems journal January 2013
Jacob’s ladder of density functional approximations for the exchange-correlation energy conference January 2001
Experimental measurements of the heats of formation of Fe 3 Pt, FePt, and FePt 3 using differential scanning calorimetry journal July 2011
Pressure induced magnetic phase transition in Fe3Pt journal July 1996
Accurate Molecular Van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data journal February 2009
Assessment and validation of a screened Coulomb hybrid density functional journal April 2004
Anomalously high entropy change in FeRh alloy journal February 1996
Accurate Density Functional with Correct Formal Properties: A Step Beyond the Generalized Gradient Approximation journal March 1999
Density functional theory is straying from the path toward the exact functional journal January 2017
Coulomb correlations and magnetic anisotropy in ordered L 1 0 CoPt and FePt alloys journal May 2003
Electronic structure calculations with dynamical mean-field theory journal August 2006
A review of shape memory alloy research, applications and opportunities journal April 2014
Accurate first-principles structures and energies of diversely bonded systems from an efficient density functional journal June 2016
Accurate Band Gaps of Semiconductors and Insulators with a Semilocal Exchange-Correlation Potential journal June 2009
Giant magnetostriction in an ordered Fe3Pt single crystal exhibiting a martensitic transformation journal September 2000
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Dynamical properties of ordered Fe–Pt alloys journal December 2015
Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits journal August 2005
Special points for Brillouin-zone integrations journal June 1976
FePt Hard Magnets journal April 2005
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Many-Body Effects in Iron Pnictides and Chalcogenides: Nonlocal Versus Dynamic Origin of Effective Masses journal December 2012
Perspective: Fifty years of density-functional theory in chemical physics journal May 2014
A new ferromagnetic shape memory alloy system journal May 2001
Theory of Magnetic and Structural Ordering in Iron journal April 1985
Inhomogeneous Electron Gas journal November 1964
Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces journal April 2008
Van der Waals Density Functional for General Geometries journal June 2004
The ALPS Project: Open Source Software for Strongly Correlated Systems journal January 2005
AFLOWLIB.ORG: A distributed materials properties repository from high-throughput ab initio calculations journal June 2012
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
Density functional theory with London dispersion corrections: Density functional theory with London dispersion corrections journal March 2011
A local exchange-correlation potential for the spin polarized case. i journal July 1972
Physical properties of FeRh alloys: The antiferromagnetic to ferromagnetic transition journal January 2015
Semiconductor thermochemistry in density functional calculations journal December 2008
57Fe Mössbauer spectroscopy on FePt invar alloys journal June 1983
Experimental formation enthalpies for intermetallic phases and other inorganic compounds journal October 2017
The New Face of Rhodium Alloys: Revealing Ordered Structures from First Principles journal January 2010

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