Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects

Nguyen, Manh Cuong; Yao, Yongxin; Wang, Cai-Zhuang; Ho, Kai-Ming; Antropov, Vladimir P.

doi:10.1088/1361-648X/aab9fa

Title: Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects

Abstract

The dependence of the magnetocrystalline anisotropy energy (MAE) in MCo₅ (M = Y, La, Ce, Gd) and CoPt on the Coulomb correlations and strength of spin orbit (SO) interaction within the GGA + U scheme is investigated. A range of parameters suitable for the satisfactory description of key magnetic properties is determined. We show that for a large variation of SO interaction the MAE in these materials can be well described by the traditional second order perturbation theory. We also show that in these materials the MAE can be both proportional and negatively proportional to the orbital moment anisotropy (OMA) of Co atoms. Dependence of relativistic effects on Coulomb correlations, applicability of the second order perturbation theory for the description of MAE, and effective screening of the SO interaction in these systems are discussed using a generalized virial theorem. Finally, such determined sets of parameters of Coulomb correlations can be used in much needed large scale atomistic simulations.

Authors:

^[1]; Yao, Yongxin ^[1];

^[1]; Ho, Kai-Ming ^[1]; Antropov, Vladimir P. ^[1]

Ames Lab. and Iowa State Univ., Ames, IA (United States)

Publication Date:: Wed May 16 00:00:00 EDT 2018

Research Org.:: Ames Lab., Ames, IA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1436433

Report Number(s):: IS-J-9643
Journal ID: ISSN 0953-8984; TRN: US1900183

Grant/Contract Number:: AC02-07CH11358

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. Condensed Matter

Additional Journal Information:: Journal Volume: 30; Journal Issue: 19; Journal ID: ISSN 0953-8984

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; magnetic anisotropy; relativistic effects; permanent magnet; spin–orbit coupling; orbital moment anisotropy

Citation Formats


                    Nguyen, Manh Cuong, Yao, Yongxin, Wang, Cai-Zhuang, Ho, Kai-Ming, and Antropov, Vladimir P. Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects.  United States: N. p., 2018. 
Web.  doi:10.1088/1361-648X/aab9fa.

Copy to clipboard


                    Nguyen, Manh Cuong, Yao, Yongxin, Wang, Cai-Zhuang, Ho, Kai-Ming, & Antropov, Vladimir P. Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects.  United States.  https://doi.org/10.1088/1361-648X/aab9fa

Copy to clipboard


                    Nguyen, Manh Cuong, Yao, Yongxin, Wang, Cai-Zhuang, Ho, Kai-Ming, and Antropov, Vladimir P. Wed .  
"Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects".  United States.  https://doi.org/10.1088/1361-648X/aab9fa.  https://www.osti.gov/servlets/purl/1436433.

Copy to clipboard


                    
@article{osti_1436433,

  title        = {Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects},

  author       = {Nguyen, Manh Cuong and Yao, Yongxin and Wang, Cai-Zhuang and Ho, Kai-Ming and Antropov, Vladimir P.},

  abstractNote = {The dependence of the magnetocrystalline anisotropy energy (MAE) in MCo5 (M = Y, La, Ce, Gd) and CoPt on the Coulomb correlations and strength of spin orbit (SO) interaction within the GGA + U scheme is investigated. A range of parameters suitable for the satisfactory description of key magnetic properties is determined. We show that for a large variation of SO interaction the MAE in these materials can be well described by the traditional second order perturbation theory. We also show that in these materials the MAE can be both proportional and negatively proportional to the orbital moment anisotropy (OMA) of Co atoms. Dependence of relativistic effects on Coulomb correlations, applicability of the second order perturbation theory for the description of MAE, and effective screening of the SO interaction in these systems are discussed using a generalized virial theorem. Finally, such determined sets of parameters of Coulomb correlations can be used in much needed large scale atomistic simulations.},

  doi          = {10.1088/1361-648X/aab9fa},

  journal      = {Journal of Physics. Condensed Matter},

  number       = 19,

  volume       = 30,

  place        = {United States},

  year         = {Wed May 16 00:00:00 EDT 2018},

  month        = {Wed May 16 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1088/1361-648X/aab9fa

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 19 works

Citation information provided by
Web of Science

Figures / Tables:

Figure 1: Dependences of YCo₅ and LaCo₅ MAEs on U and J parameters within a GGA + U scheme. Colored bands show the experimental range of MAEs. The blue diamond and red triangle are MAEs of YCo₅ and LaCo₅, respectively, and with U = J = 1.8 eV

All figures and tables (6 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Calculation of magneto-optical properties for 4f systems: LSDA + Hubbard U results
journal, November 1995

Harmon, B. N.; Antropov, V. P.; Liechtenstein, A. I.
Journal of Physics and Chemistry of Solids, Vol. 56, Issue 11
DOI: 10.1016/0022-3697(95)00122-0

Magnetic properties of ordered Pt-Co
journal, September 1966

Brissonneau, P.; Blanchard, A.; Bartholin, H.
IEEE Transactions on Magnetics, Vol. 2, Issue 3
DOI: 10.1109/tmag.1966.1065882

Nuclear Magnetic Resonance of RCo ₅ . II. R=Y, Tb, Dy and Ho
journal, March 1988

Yoshie, Hiroshi; Ogino, Kou; Nagai, Hiroyuki
Journal of the Physical Society of Japan, Vol. 57, Issue 3
DOI: 10.1143/jpsj.57.1063

Co energy and magnetization anisotropies in RCo5 intermetallics between 4.2 K and 300 K
journal, March 1981

Alameda, J. M.; Givord, D.; Lemaire, R.
Journal of Applied Physics, Vol. 52, Issue 3
DOI: 10.1063/1.329622

Calculation of orbital magnetism and magnetocrystalline anisotropy energy in YCo ₅
journal, March 1992

Nordstrom, L.; Brooks, M. S. S.; Johansson, B.
Journal of Physics: Condensed Matter, Vol. 4, Issue 12
DOI: 10.1088/0953-8984/4/12/016

Calculated magnetocrystalline anisotropy of existing and hypothetical MCo5 compounds
journal, April 2005

Opahle, Ingo; Richter, Manuel; Kuz’min, Michael D.
Journal of Magnetism and Magnetic Materials, Vol. 290-291
DOI: 10.1016/j.jmmm.2004.11.264

Anisotropic rare earth-cobalt exchange interactions in RCo5 intermetallics
journal, December 1987

Ballou, R.; Deportes, J.; Lemaire, J.
Journal of Magnetism and Magnetic Materials, Vol. 70, Issue 1-3
DOI: 10.1016/0304-8853(87)90450-1

First-principles calculation of the 3d magnetocrystalline anisotropy energy of YCo5
journal, January 1996

Yamaguchi, M.; Asano, S.
Journal of Applied Physics, Vol. 79, Issue 8
DOI: 10.1063/1.362117

Investigation of the hyperfine fields in the compounds LaCo13, LaCo5, YCo5 and ThCo5 by means of inelastic neutron scattering
journal, December 1975

Heidemann, A.; Richter, D.; Buschow, K. H. J.
Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 22, Issue 4
DOI: 10.1007/bf01312807

Local density total energy description of ground and excited state properties of the rare earth metals
journal, September 1986

Min, B. I.; Jansen, H. J. F.; Oguchi, T.
Journal of Magnetism and Magnetic Materials, Vol. 61, Issue 1-2
DOI: 10.1016/0304-8853(86)90076-4

Magnetic state of δ- and α-plutonium
journal, June 2000

Postnikov, A. V.; Antropov, V. P.
Computational Materials Science, Vol. 17, Issue 2-4
DOI: 10.1016/s0927-0256(00)00064-1

Polarised neutron study of the RCo ₅ intermetallic compounds. I. The cobalt magnetisation in YCo ₅
journal, December 1980

Schweizer, J.; Tasset, F.
Journal of Physics F: Metal Physics, Vol. 10, Issue 12
DOI: 10.1088/0305-4608/10/12/020

The Gd anisotropy in GdCo5
journal, February 1992

Radwański, R. J.; Franse, J. J. M.; Quang, P. H.
Journal of Magnetism and Magnetic Materials, Vol. 104-107
DOI: 10.1016/0304-8853(92)90601-j

Conduction‐Electron Spin Relaxation by Transition‐Element Impurities in Copper
journal, February 1968

Yafet, Y.
Journal of Applied Physics, Vol. 39, Issue 2
DOI: 10.1063/1.2163645

Magnetocrystalline anisotropy of light rare-earth cobalt compounds
journal, July 1975

Klein, H. P.; Menth, A.; Perkins, R. S.
Physica B+C, Vol. 80, Issue 1-4
DOI: 10.1016/0378-4363(75)90061-3

Crystal-field anisotropy of Sm3+ in SmCo5
journal, September 1974

Buschow, K. H. J.; van Diepen, A. M.; de Wijn, H. W.
Solid State Communications, Vol. 15, Issue 5
DOI: 10.1016/0038-1098(74)90690-5

Use of a General Virial Theorem with Perturbation Theory
journal, May 1957

Carr, W. J.
Physical Review, Vol. 106, Issue 3
DOI: 10.1103/physrev.106.414

Relationship between Magnetocrystalline Anisotropy and Orbital Magnetic Moment in L 1 ₀ -Type Ordered and Disordered Alloys
journal, August 2012

Kota, Yohei; Sakuma, Akimasa
Journal of the Physical Society of Japan, Vol. 81, Issue 8
DOI: 10.1143/jpsj.81.084705

Different contributions of the two cobalt sites to the magnetocrystalline anisotropy of YCo5and related compounds
journal, November 1976

Deportes, J.; Givord, D.; Schweizer, J.
IEEE Transactions on Magnetics, Vol. 12, Issue 6
DOI: 10.1109/tmag.1976.1059185

Effect of hydrogen on the magnetocrystalline anisotropy of RCo5
journal, February 1995

Bartashevich, M. I.; Goto, T.; Yamaguchi, M.
Journal of Magnetism and Magnetic Materials, Vol. 140-144
DOI: 10.1016/0304-8853(94)00790-x

Magnetic properties of SmCo5 and YCo5
journal, May 2003

Larson, P.; Mazin, I. I.
Journal of Applied Physics, Vol. 93, Issue 10
DOI: 10.1063/1.1556154

Constituents of magnetic anisotropy and a screening of spin–orbit coupling in solids
journal, September 2014

Antropov, Vladimir; Ke, Liqin; Åberg, Daniel
Solid State Communications, Vol. 194
DOI: 10.1016/j.ssc.2014.06.003

Magnetic anisotropy and high-field magnetization process of CeCo5
journal, March 1994

Bartashevich, M. I.; Goto, T.; Radwanski, R. J.
Journal of Magnetism and Magnetic Materials, Vol. 131, Issue 1-2
DOI: 10.1016/0304-8853(94)90010-8

New Magnetic Alloys
journal, May 1980

Chin, G. Y.
Science, Vol. 208, Issue 4446
DOI: 10.1126/science.208.4446.888

Rare earth-cobalt permanent magnets
journal, November 1991

Strnat, Karl J.; Strnat, Reinhold M. W.
Journal of Magnetism and Magnetic Materials, Vol. 100, Issue 1-3
DOI: 10.1016/0304-8853(91)90811-N

Itinerant-electron magnetocrystalline anisotropy energy of ${YCo}_{5}$ and related compounds
journal, April 2001

Steinbeck, Lutz; Richter, Manuel; Eschrig, Helmut
Physical Review B, Vol. 63, Issue 18
DOI: 10.1103/PhysRevB.63.184431

Calculation of magnetic anisotropy energy in ${SmCo}_{5}$
journal, June 2003

Larson, P.; Mazin, I. I.; Papaconstantopoulos, D. A.
Physical Review B, Vol. 67, Issue 21
DOI: 10.1103/PhysRevB.67.214405

Theory of ferromagnetism in ${CeCo}_{5}$
journal, May 1990

Nordström, Lars; Eriksson, Olle; Brooks, M. S. S.
Physical Review B, Vol. 41, Issue 13
DOI: 10.1103/PhysRevB.41.9111

$LDA + DMFT$ Approach to Magnetocrystalline Anisotropy of Strong Magnets
journal, May 2014

Zhu, Jian-Xin; Janoschek, Marc; Rosenberg, Richard
Physical Review X, Vol. 4, Issue 2
DOI: 10.1103/PhysRevX.4.021027

Individual Co site contributions to the magnetic anisotropy of $R {Co}_{5}$ compounds and related structures
journal, March 1979

Streever, R. L.
Physical Review B, Vol. 19, Issue 5
DOI: 10.1103/PhysRevB.19.2704

Magnetocrystalline anisotropy of RCo5 intermetallics: itinerant-electron contribution
journal, May 2001

Steinbeck, L.; Richter, M.; Eschrig, H.
Journal of Magnetism and Magnetic Materials, Vol. 226-230
DOI: 10.1016/S0304-8853(00)01189-6

Magnetocrystalline anisotropy of Y ${Co}_{5}$ and related RE ${Co}_{5}$ compounds
journal, June 1996

Daalderop, G. H. O.; Kelly, P. J.; Schuurmans, M. F. H.
Physical Review B, Vol. 53, Issue 21
DOI: 10.1103/PhysRevB.53.14415

Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators
journal, August 1995

Liechtenstein, A. I.; Anisimov, V. I.; Zaanen, J.
Physical Review B, Vol. 52, Issue 8
DOI: 10.1103/PhysRevB.52.R5467

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996

Kresse, G.; Furthmüller, J.
Physical Review B, Vol. 54, Issue 16, p. 11169-11186
DOI: 10.1103/PhysRevB.54.11169

Projector augmented-wave method
journal, December 1994

Blöchl, P. E.
Physical Review B, Vol. 50, Issue 24, p. 17953-17979
DOI: 10.1103/PhysRevB.50.17953

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999

Kresse, G.; Joubert, D.
Physical Review B, Vol. 59, Issue 3, p. 1758-1775
DOI: 10.1103/PhysRevB.59.1758

Generalized Gradient Approximation Made Simple
journal, October 1996

Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
DOI: 10.1103/PhysRevLett.77.3865

Special points for Brillouin-zone integrations
journal, June 1976

Monkhorst, Hendrik J.; Pack, James D.
Physical Review B, Vol. 13, Issue 12, p. 5188-5192
DOI: 10.1103/PhysRevB.13.5188

Improved tetrahedron method for Brillouin-zone integrations
journal, June 1994

Blöchl, Peter E.; Jepsen, O.; Andersen, O. K.
Physical Review B, Vol. 49, Issue 23
DOI: 10.1103/PhysRevB.49.16223

Coulomb correlations and magnetic anisotropy in ordered ${L 1}_{0}$ CoPt and FePt alloys
journal, May 2003

Shick, Alexander B.; Mryasov, Oleg N.
Physical Review B, Vol. 67, Issue 17
DOI: 10.1103/PhysRevB.67.172407

Colossal anisotropy of the magnetic properties of doped lithium nitrodometalates
journal, September 2014

Antropov, V. P.; Antonov, V. N.
Physical Review B, Vol. 90, Issue 9
DOI: 10.1103/PhysRevB.90.094406

Magnetocrystalline anisotropy of FePt: A detailed view
journal, October 2016

Ayaz Khan, Saleem; Blaha, Peter; Ebert, Hubert
Physical Review B, Vol. 94, Issue 14
DOI: 10.1103/PhysRevB.94.144436

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021

Chen, Ruyi; Cui, Qirui; Liao, Liyang
Nature Communications, Vol. 12, Issue 1
DOI: 10.1038/s41467-021-23414-3

Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020

Tatemizo, Nobuyuki; Imada, Saki; Okahara, Kizuna
Scientific Reports, Vol. 10, Issue 1
DOI: 10.1038/s41598-020-58835-5

LDA+DMFT Approach to Magnetocrystalline Anisotropy of Strong Magnets
text, January 2014

Zhu, Jian-Xin; Janoschek, Marc; Rosenberg, Richard
arXiv
DOI: 10.48550/arxiv.1402.5543

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Magnetocrystalline Anisotropy of Magnetic Grains in Co80Pt20:Oxide Thin Films Probed by X-ray Magnetic Circular Dichroism

Journal Article Zhang, W ; Morton, S A ; Wong, P K. J. ; ... - Journal of Applied Physics

Using angle-dependent x-ray magnetic circular dichroism, we have measured magnetic hysteresis loops at the Co L2,3 edges of oxide-doped Co80Pt20 thin films. The magnetocrystalline anisotropy energy (MAE) of the Co atoms, which is the main source of the magnetocrystalline anisotropy of the CoPt magnetic grains, has been determined directly from these element-specific hysteresis loops. When the oxide volume fraction (OVF) is increased from 16.6% to 20.7%, the Co MAE has been found to decrease from 0.117 meV/atom to 0.076 meV/atom. While a larger OVF helps one to achieve a smaller grain size, it reduces the magnetocrystalline anisotropy, as demonstrated unambiguouslymore »« less
https://doi.org/10.1063/1.3596516

Full Text Available
On the Relationship of Magnetocrystalline Anisotropy and Stoichiometry in Epitaxial L1{sub 0} CoPt(001) and FePt(001) Thin Films

Technical Report Barmak, K

Two series of epitaxial CoPt and FePt films, with nominal thicknesses of 42 or 50 nm, were prepared by sputtering onto single crystal MgO(001) substrates in order to investigate the chemical ordering and the resultant magnetic properties as a function of alloy composition. In the first series, the film composition was kept constant, while the substrate temperature was increased from 144 to 704 C. In the second series the substrate temperature was kept constant at 704 C for CoPt and 620 C for FePt, while the alloy stoichiometry was varied in the nominalrange of 40-60 at% Co(Fe). Film compositions andmore »« less
https://doi.org/10.2172/829753

Full Text Available
Electron backscatter diffraction helps direct calculation of magnetocrystalline anisotropy energy in API 5L steels

Journal Article Le Manh, Tu, E-mail: letuprofesor@gmail.com ; Hallen, J. M. ; Caleyo, F., E-mail: fcaleyo@gmail.com ; ... - Materials Characterization

Highlights: • Experimental evidence of the capability of EBSD to accurately estimate MAE of API 5L steels. • MAE can be calculated directly from raw EBSD data for reduced sample sizes. • Number of grains sufficient to estimate MAE from EBSD is in the order of several hundreds. • The use of equivalent orientations increases drastically the accuracy of MAE estimations. • EBSD helps explain origin of the observed correlation between MAE and Barkhausen noise. - Abstract: This paper shows evidence of the capability of electron backscatter diffraction (EBSD) to accurately estimate the magnetocrystalline anisotropy energy (MAE) of API 5Lmore »« less
https://doi.org/10.1016/J.MATCHAR.2018.04.033
Total energy calculation of the magnetocrystalline anisotropy energy in the ferromagnetic 3{ital d} metals

Journal Article Trygg, J ; Johansson, B ; Eriksson, O ; ... - Physical Review Letters

We demonstrate that total energy calculations based upon only the local density approximation of density functional theory in combination with an orbital polarization correction can be used to derive the magnetocrystalline anisotropy energy (MAE) for the ferromagnetic metals, bcc Fe, hcp Co, fcc Co, and fcc Ni. In the case of bcc Fe, hcp Co, and fcc Co the calculations reproduce the experimental easy axis as well as the size of the MAE. However, for fcc Ni we obtain the wrong easy axis.
https://doi.org/10.1103/PhysRevLett.75.2871
Anisotropic Spin-Orbit Coupling and Magnetocrystalline Anisotropy in Vicinal Co Films

Journal Article Dhesi, Sarnjeet S ; van der Laan, Gerrit ; Dudzik, Esther ; ... - Physical Review Letters

The anisotropy of the spin-orbit interaction, <<{lambda}{sub a}> , in vicinal Co films has been measured using x-ray magnetic linear dichroism (XMLD). A linear increase in <{lambda}{sub a}> with Co step density is found using a new sum rule and represents the first experimental confirmation that XMLD probes the magnetocrystalline anisotropy energy (MAE). X-ray magnetic circular dichroism is used to confirm that the XMLD arises from changes in the local step-edge electronic structure. The XMLD sum rule gives a larger MAE compared to macroscopic values and is discussed with respect to other local probes of the MAE.
https://doi.org/10.1103/PhysRevLett.87.067201

Similar Records

Title: Magnetocrystalline anisotropy in cobalt based magnets: a choice of correlation parameters and the relativistic effects

Abstract

Citation Formats

Figures / Tables:

Calculation of magneto-optical properties for 4f systems: LSDA + Hubbard U results journal, November 1995

Magnetic properties of ordered Pt-Co journal, September 1966

Nuclear Magnetic Resonance of RCo 5 . II. R=Y, Tb, Dy and Ho journal, March 1988

Co energy and magnetization anisotropies in RCo5 intermetallics between 4.2 K and 300 K journal, March 1981

Calculation of orbital magnetism and magnetocrystalline anisotropy energy in YCo 5 journal, March 1992

Calculated magnetocrystalline anisotropy of existing and hypothetical MCo5 compounds journal, April 2005

Anisotropic rare earth-cobalt exchange interactions in RCo5 intermetallics journal, December 1987

First-principles calculation of the 3d magnetocrystalline anisotropy energy of YCo5 journal, January 1996

Investigation of the hyperfine fields in the compounds LaCo13, LaCo5, YCo5 and ThCo5 by means of inelastic neutron scattering journal, December 1975

Local density total energy description of ground and excited state properties of the rare earth metals journal, September 1986

Magnetic state of δ- and α-plutonium journal, June 2000

Polarised neutron study of the RCo 5 intermetallic compounds. I. The cobalt magnetisation in YCo 5 journal, December 1980

The Gd anisotropy in GdCo5 journal, February 1992

Conduction‐Electron Spin Relaxation by Transition‐Element Impurities in Copper journal, February 1968

Magnetocrystalline anisotropy of light rare-earth cobalt compounds journal, July 1975

Crystal-field anisotropy of Sm3+ in SmCo5 journal, September 1974

Use of a General Virial Theorem with Perturbation Theory journal, May 1957

Relationship between Magnetocrystalline Anisotropy and Orbital Magnetic Moment in L 1 0 -Type Ordered and Disordered Alloys journal, August 2012

Different contributions of the two cobalt sites to the magnetocrystalline anisotropy of YCo5and related compounds journal, November 1976

Effect of hydrogen on the magnetocrystalline anisotropy of RCo5 journal, February 1995

Magnetic properties of SmCo5 and YCo5 journal, May 2003

Constituents of magnetic anisotropy and a screening of spin–orbit coupling in solids journal, September 2014

Magnetic anisotropy and high-field magnetization process of CeCo5 journal, March 1994

New Magnetic Alloys journal, May 1980

Rare earth-cobalt permanent magnets journal, November 1991

Itinerant-electron magnetocrystalline anisotropy energy of YCo 5 and related compounds journal, April 2001

Calculation of magnetic anisotropy energy in SmCo 5 journal, June 2003

Theory of ferromagnetism in CeCo 5 journal, May 1990

LDA + DMFT Approach to Magnetocrystalline Anisotropy of Strong Magnets journal, May 2014

Individual Co site contributions to the magnetic anisotropy of R Co 5 compounds and related structures journal, March 1979

Magnetocrystalline anisotropy of RCo5 intermetallics: itinerant-electron contribution journal, May 2001

Magnetocrystalline anisotropy of Y Co 5 and related RE Co 5 compounds journal, June 1996

Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators journal, August 1995

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal, October 1996

Projector augmented-wave method journal, December 1994

From ultrasoft pseudopotentials to the projector augmented-wave method journal, January 1999

Generalized Gradient Approximation Made Simple journal, October 1996

Special points for Brillouin-zone integrations journal, June 1976

Improved tetrahedron method for Brillouin-zone integrations journal, June 1994

Coulomb correlations and magnetic anisotropy in ordered L 1 0 CoPt and FePt alloys journal, May 2003

Colossal anisotropy of the magnetic properties of doped lithium nitrodometalates journal, September 2014

Magnetocrystalline anisotropy of FePt: A detailed view journal, October 2016

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal, May 2021

Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal, February 2020

LDA+DMFT Approach to Magnetocrystalline Anisotropy of Strong Magnets text, January 2014

Calculation of magneto-optical properties for 4f systems: LSDA + Hubbard U results
journal, November 1995

Magnetic properties of ordered Pt-Co
journal, September 1966

Nuclear Magnetic Resonance of RCo ₅ . II. R=Y, Tb, Dy and Ho
journal, March 1988

Co energy and magnetization anisotropies in RCo5 intermetallics between 4.2 K and 300 K
journal, March 1981

Calculation of orbital magnetism and magnetocrystalline anisotropy energy in YCo ₅
journal, March 1992

Calculated magnetocrystalline anisotropy of existing and hypothetical MCo5 compounds
journal, April 2005

Anisotropic rare earth-cobalt exchange interactions in RCo5 intermetallics
journal, December 1987

First-principles calculation of the 3d magnetocrystalline anisotropy energy of YCo5
journal, January 1996

Investigation of the hyperfine fields in the compounds LaCo13, LaCo5, YCo5 and ThCo5 by means of inelastic neutron scattering
journal, December 1975

Local density total energy description of ground and excited state properties of the rare earth metals
journal, September 1986

Magnetic state of δ- and α-plutonium
journal, June 2000

Polarised neutron study of the RCo ₅ intermetallic compounds. I. The cobalt magnetisation in YCo ₅
journal, December 1980

The Gd anisotropy in GdCo5
journal, February 1992

Conduction‐Electron Spin Relaxation by Transition‐Element Impurities in Copper
journal, February 1968

Magnetocrystalline anisotropy of light rare-earth cobalt compounds
journal, July 1975

Crystal-field anisotropy of Sm3+ in SmCo5
journal, September 1974

Use of a General Virial Theorem with Perturbation Theory
journal, May 1957

Relationship between Magnetocrystalline Anisotropy and Orbital Magnetic Moment in L 1 ₀ -Type Ordered and Disordered Alloys
journal, August 2012

Different contributions of the two cobalt sites to the magnetocrystalline anisotropy of YCo5and related compounds
journal, November 1976

Effect of hydrogen on the magnetocrystalline anisotropy of RCo5
journal, February 1995

Magnetic properties of SmCo5 and YCo5
journal, May 2003

Constituents of magnetic anisotropy and a screening of spin–orbit coupling in solids
journal, September 2014

Magnetic anisotropy and high-field magnetization process of CeCo5
journal, March 1994

New Magnetic Alloys
journal, May 1980

Rare earth-cobalt permanent magnets
journal, November 1991

Itinerant-electron magnetocrystalline anisotropy energy of ${YCo}_{5}$ and related compounds
journal, April 2001

Calculation of magnetic anisotropy energy in ${SmCo}_{5}$
journal, June 2003

Theory of ferromagnetism in ${CeCo}_{5}$
journal, May 1990

$LDA + DMFT$ Approach to Magnetocrystalline Anisotropy of Strong Magnets
journal, May 2014

Individual Co site contributions to the magnetic anisotropy of $R {Co}_{5}$ compounds and related structures
journal, March 1979

Magnetocrystalline anisotropy of RCo5 intermetallics: itinerant-electron contribution
journal, May 2001

Magnetocrystalline anisotropy of Y ${Co}_{5}$ and related RE ${Co}_{5}$ compounds
journal, June 1996

Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators
journal, August 1995

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996

Projector augmented-wave method
journal, December 1994

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999

Generalized Gradient Approximation Made Simple
journal, October 1996

Special points for Brillouin-zone integrations
journal, June 1976

Improved tetrahedron method for Brillouin-zone integrations
journal, June 1994

Coulomb correlations and magnetic anisotropy in ordered ${L 1}_{0}$ CoPt and FePt alloys
journal, May 2003

Colossal anisotropy of the magnetic properties of doped lithium nitrodometalates
journal, September 2014

Magnetocrystalline anisotropy of FePt: A detailed view
journal, October 2016

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021

Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020

LDA+DMFT Approach to Magnetocrystalline Anisotropy of Strong Magnets
text, January 2014