Abstract.
We calculate from first principles the electronic structure, relaxation and magnetic moments of small Fe particles, by applying the numerical local orbitals method in combination with norm-conserving pseudopotentials. The accuracy of the method in describing elastic properties and magnetic phase diagrams is tested by comparing benchmark results for different phases of crystalline iron to those obtained by an all-electron method. Our calculations for the bipyramidal Fe5 cluster confirm previous plane-wave results that predicted a non-collinear magnetic structure. For larger bcc-related (Fe35, Fe59) and fcc-related (Fe38, Fe43, Fe55, Fe62) particles, a larger inward relaxation of outer shells has been found in all cases, accompanied by an increase of local magnetic moments on the surface to beyond 3 \(\mu_{\scriptstyle{B}}\).
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I.M.L. Billas, J.A. Becker, A. Châtelain, W.A. de Heer, Phys. Rev. Lett. 71, 4067 (1993)
I.M.L. Billas, A. Châtelain, W.A. de Heer, Science 265, 1682 (1994)
D. Gerion, A. Hirt, I.M.L. Billas, A. Châtelain, W.A. de Heer, Phys. Rev. B 62, 7491 (2000)
O.B. Christensen, M.L. Cohen, Phys. Rev. B 47, 13643 (1993)
N.A. Besley, R.L. Johnston, A.J. Stace, J. Uppenbrink, J. Mol. Struct. (Theochem) 341, 75 (1995)
G.M. Pastor, J. Dorantes-Dávila, K.H. Bennemann, Phys. Rev. B 40, 7642 (1989)
G.M. Pastor, R. Hirsch, B. Mühlschlegel, Phys. Rev. B 53, 10382 (1996)
A.N. Andriotis, N. Lathiotakis, M. Menon, Chem. Phys. Lett. 260, 15 (1996)
A.N. Andriotis, N.N. Lathiotakis, M. Menon, Europhys. Lett. 36, 37 (1996)
A.N. Andriotis, M. Menon, Phys. Rev. B 57, 10069 (1998)
S. Bouarab, A. Vega, J.A. Alonso, M.P. Iñiguez, Phys. Rev. B 54, 3003 (1996)
J. Guevara, F. Parisi, A.M. Llois, M. Weissmann, Phys. Rev. B 55, 13283 (1997)
W. Kohn, Rev. Mod. Phys. 71, 1253 (1999)
J.L. Chen, C.S. Wang, K.A. Jackson, M.R. Pederson, Phys. Rev. B 44, 6558 (1991)
M. Castro, D.R. Salahub, Phys. Rev. B 49, 11842 (1994)
M. Castro, C. Jamorski, D.R. Salahub, Chem. Phys. Lett. 271, 133 (1997)
J. Kortus, T. Baruah, M.R. Pederson, C. Ashman, S.N. Khanna, Appl. Phys. Lett. 80, 4193 (2002)
P. Ballone, R.O. Jones, Chem. Phys. Lett. 233, 632 (1995)
T. Oda, A. Pasquarello, R. Car, Phys. Rev. Lett. 80, 3622 (1998)
D. Hobbs, G. Kresse, J. Hafner, Phys. Rev. B 62, 11556 (2000)
J.A. Alonso, Chem. Rev. 100, 637 (2000)
N. Fujima, T. Yamaguchi, Mat. Sci. Engineer. A 217--218, 295 (1996)
H.M. Duan, Q.Q. Zheng, Phys. Lett. A 280, 333 (2001)
D. Sánchez-Portal, P. Ordejón, E. Artacho, J.M. Soler, Int. J. Quant. Chem. 65, 453 (1997)
E. Artacho, D. Sánchez-Portal, P. Ordejón, A. García, J.M. Soler, Phys. Stat. Sol. (b) 215, 809 (1999)
J.M. Soler, E. Artacho, J.D. Gale, A. García, J. Junquera, P. Ordejón, D. Sánchez-Portal, J. Phys. Cond. Matt. 14, 2745 (2002)
J.M. Soler, M.R. Beltrán, K. Michaelian, I.L. Garzón, P. Ordejón, D. Sánchez-Portal, E. Artacho, Phys. Rev. B 61, 5771 (2000)
J. Izquierdo, A. Vega, L.C. Balbás, D. Sánchez-Portal, J. Junquera, E. Artacho, J.M. Soler, P. Ordejón, Phys. Rev. B 61, 13639 (2000)
O. Diéguez, M.M.G. Alemany, C. Rey, P. Ordejón, L.J. Gallego, Phys. Rev. B 63, 205407 (2001)
P. Ordejón, D.A. Drabold, R.M. Martin, M.P. Grumbach, Phys. Rev. B 51, 1456 (1995)
P. Ordejón, E. Artacho, J.M. Soler, Phys. Rev. B 53, R10441 (1996)
S.G. Louie, S. Froyen, M.L. Cohen, Phys. Rev. B 26, 1738 (1982)
We learned that Diéguez found similar results with a basis like ours. Larger extension of basis function is primarily essential for precise evaluation of formation energies and less important for geometry optimizations (P. Ordejón, private communication)
V.L. Moruzzi, P.M. Marcus, K. Schwarz, P. Mohn, Phys. Rev. B 34, 1784 (1986)
V.L. Moruzzi, Phys. Rev. Lett. 57, 2211 (1986)
P. Bagno, O. Jepsen, O. Gunnarsson, Phys. Rev. B 40, 1997 (1989)
T.C. Leung, C.T. Chan, B.N. Harmon, Phys. Rev. B 44, 2923 (1991)
H.C. Herper, E. Hoffmann, P. Entel, Phys. Rev. B 60, 3839 (1999)
P. Blaha, K. Schwarz, G.K.H. Madsen, D. Kvasnicka, J. Luitz, WIEN2k, Vienna University of Technology (2001), improved and updated Unix version of the original copyrighted WIEN-code, which was published by P. Blaha, K. Schwarz, P. Sorantin, S.B. Trickey, in Comput. Phys. Commun. 59, 339 (1990), http://www.wien2k.at
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
Of the methods applied so far for the study of small clusters, the projector augmented-wave method as used in reference [x] has potentially the superior accuracy, as it is an all-electron one and allows to enhance the completeness of the basis in a systematic way. However, the use of frozen core approximation in actual calculations so far keeps its level of accuracy still somehow inferior to, say, FLAPW. The disagreement with accurate all-electron results obtained by a Gaussian-type orbital method for the Fe\(_5\) cluster in reference [17] is not yet understood
A.J. Freeman, C.L. Fu, J. Appl. Phys. 61, 3356 (1987)
M.J.S. Spencer, A. Hung, I.K. Snook, I. Yarovsky, Surf. Sci. 513, 389 (2002)
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Received: 27 February 2003, Published online: 22 July 2003
PACS:
36.40.Cg Electronic and magnetic properties of clusters - 75.50.Bb Fe and its alloys - 71.15.-m Methods of electronic structure calculations
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Postnikov, A.V., Entel, P. & Soler, J.M. Density functional simulation of small Fe nanoparticles. Eur. Phys. J. D 25, 261–270 (2003). https://doi.org/10.1140/epjd/e2003-00209-3
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DOI: https://doi.org/10.1140/epjd/e2003-00209-3