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Published in: Journal of Materials Engineering and Performance 11/2020

26-10-2020

Critical Magnetic Behavior of the Rare Earth-Based Alloy GdN: Monte Carlo Simulations and Density Functional Theory Method

Authors: S. Idrissi, S. Ziti, H. Labrim, L. Bahmad

Published in: Journal of Materials Engineering and Performance | Issue 11/2020

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Abstract

In this study, we use Monte Carlo simulations (MCS) and DFT method in order to deduce the critical magnetic behavior of the rare earth-based alloy GdN. The Monte Carlo method is based on the Metropolis algorithm, while the DFT method is applied under the generalized gradient approximation. In a first step, we discuss and study the density of states, the exchange coupling interactions, the crystal field and the Curie temperature within the mean-field approximation. We started by studying the ground state phase diagrams in the different planes of the physical parameters. In fact, we present and discuss the behavior of total magnetizations and susceptibilities as a function of: the temperature, the crystal field, the exchange coupling interactions and the external magnetic field. To complete this study, the hysteresis loops are illustrated and analyzed when varying the external magnetic field for fixed specific values of the other physical parameters. The obtained values of the critical exponents of the GdN compound have been deduced and compared with those existing in the literature.

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Literature
1.
go back to reference F. Natali, B.J. Ruck, N.O.V. Plank, H.J. Trodahl, S. Granville, C. Meyer, and W.R.L. Lambrecht, Molecular Beam Epitaxy of Ferromagnetic Epitaxial GdN Thin Films, Prog. Mater Sci., 2013, 58, p 1316CrossRef F. Natali, B.J. Ruck, N.O.V. Plank, H.J. Trodahl, S. Granville, C. Meyer, and W.R.L. Lambrecht, Molecular Beam Epitaxy of Ferromagnetic Epitaxial GdN Thin Films, Prog. Mater Sci., 2013, 58, p 1316CrossRef
2.
go back to reference H. Warring, B.J. Ruck, H.J. Trodahl, and F. Natali, Electric Field and Photo-Excited Control of the Carrier Concentration in GdN, Appl. Phys. Lett., 2013, 102, p 132409CrossRef H. Warring, B.J. Ruck, H.J. Trodahl, and F. Natali, Electric Field and Photo-Excited Control of the Carrier Concentration in GdN, Appl. Phys. Lett., 2013, 102, p 132409CrossRef
3.
go back to reference K. Senapati, M.G. Blamire, and Z.H. Barber, Spin-Filter Josephson Junctions, Spin-Filter Josephson Junctions, Nat. Mater., 2011, 10, p 849CrossRef K. Senapati, M.G. Blamire, and Z.H. Barber, Spin-Filter Josephson Junctions, Spin-Filter Josephson Junctions, Nat. Mater., 2011, 10, p 849CrossRef
4.
go back to reference M.G. Blamire, A. Pal, Z.H. Barber, K. Senapati, in Proceedings of the SPIE 8461 (2013) 84610 J (Spintronics V) M.G. Blamire, A. Pal, Z.H. Barber, K. Senapati, in Proceedings of the SPIE 8461 (2013) 84610 J (Spintronics V)
5.
go back to reference E.-M. Anton, J.F. McNulty, B.J. Ruck, M. Suzuki, M. Muzumaki, V.N. Antonov, J.W. Quilty, N. Strickland, and H.J. Trodahl, NdN: An Intrinsic Ferromagnetic Semiconductor, Phys. Rev. B, 2016, 93, p 064431CrossRef E.-M. Anton, J.F. McNulty, B.J. Ruck, M. Suzuki, M. Muzumaki, V.N. Antonov, J.W. Quilty, N. Strickland, and H.J. Trodahl, NdN: An Intrinsic Ferromagnetic Semiconductor, Phys. Rev. B, 2016, 93, p 064431CrossRef
6.
go back to reference S. Krishnamoorthy, T. Kent, J. Yang, P.S. Park, R.C. Myers, and S. Rajan, GdN Nanoisland-Based GaN Tunnel Junctions, Nano Lett., 2013, 13, p 2570CrossRef S. Krishnamoorthy, T. Kent, J. Yang, P.S. Park, R.C. Myers, and S. Rajan, GdN Nanoisland-Based GaN Tunnel Junctions, Nano Lett., 2013, 13, p 2570CrossRef
7.
go back to reference A. Kandala, A. Richardella, D. W. Rench, D.M. Zhang, T.C. Flanagan, N. Samarth, Growth and Characterization of Hybrid Insulating Ferromagnet-Topological Insulator Heterostructure Devices, arXiv: 1212.1225 (2013). A. Kandala, A. Richardella, D. W. Rench, D.M. Zhang, T.C. Flanagan, N. Samarth, Growth and Characterization of Hybrid Insulating Ferromagnet-Topological Insulator Heterostructure Devices, arXiv: 1212.1225 (2013).
8.
go back to reference B.M. Ludbrook, The Magnetic Properties of Selected Rare Earth Nitrides Grown by Pulsed Laser Deposition (2009) B.M. Ludbrook, The Magnetic Properties of Selected Rare Earth Nitrides Grown by Pulsed Laser Deposition (2009)
10.
go back to reference H. Yoshitomi, S. Kitayama, T. Kita, O. Wada, M. Fujisawa, H. Ohta, and T. Sakurai, Optical and Ferromagnetic Properties of GdN Thin Films, Phys. Status Solidi (c), 2011, 8, p 488–490CrossRef H. Yoshitomi, S. Kitayama, T. Kita, O. Wada, M. Fujisawa, H. Ohta, and T. Sakurai, Optical and Ferromagnetic Properties of GdN Thin Films, Phys. Status Solidi (c), 2011, 8, p 488–490CrossRef
11.
go back to reference M. Azeem, B.J. Ruck, B. Le Do, H. Warring, H.J. Trodahl, N.M. Strickland, A. Koo, V. Goian, and S. Kamba, Optical Response of DyN, J. Appl. Phys., 2013, 113, p 203509CrossRef M. Azeem, B.J. Ruck, B. Le Do, H. Warring, H.J. Trodahl, N.M. Strickland, A. Koo, V. Goian, and S. Kamba, Optical Response of DyN, J. Appl. Phys., 2013, 113, p 203509CrossRef
12.
go back to reference V. Srivastava, M. Rajagopalan, and S.P. Sanyal, Theoretical Investigation on Structural, Magnetic and Electronic Properties of Ferromagnetic GdN Under Pressure, J. Magn. Magn. Mater., 2009, 321, p 607CrossRef V. Srivastava, M. Rajagopalan, and S.P. Sanyal, Theoretical Investigation on Structural, Magnetic and Electronic Properties of Ferromagnetic GdN Under Pressure, J. Magn. Magn. Mater., 2009, 321, p 607CrossRef
13.
go back to reference A. Sharma and W. Nolting, Temperature dependent electronic correlation effects in GdN, J. Phys.: Condens. Matter, 2006, 18, p 7337 A. Sharma and W. Nolting, Temperature dependent electronic correlation effects in GdN, J. Phys.: Condens. Matter, 2006, 18, p 7337
14.
go back to reference C. Duan, R.F. Sabiryanov, J. Liu, W.N. Mei, P.A. Dowben, and J.R. Hardy, Strain Induced Half-Metal to Semiconductor Transition in GdN, Phys. Rev. Lett., 2005, 94, p 237201CrossRef C. Duan, R.F. Sabiryanov, J. Liu, W.N. Mei, P.A. Dowben, and J.R. Hardy, Strain Induced Half-Metal to Semiconductor Transition in GdN, Phys. Rev. Lett., 2005, 94, p 237201CrossRef
16.
go back to reference S. Granville, B.J. Ruck, F. Budde, A. Koo, D.J. Pringle, F. Kuchler et al., Semiconducting Ground State of Thin Films, Phys. Rev. B, 2006, 73, p 235335CrossRef S. Granville, B.J. Ruck, F. Budde, A. Koo, D.J. Pringle, F. Kuchler et al., Semiconducting Ground State of Thin Films, Phys. Rev. B, 2006, 73, p 235335CrossRef
17.
go back to reference S. Granville, C. Meyer, A.R.H. Preston, B.M. Ludbrook, B.J. Ruck, H.J. Trodahl et al., Vibrational Properties of Rare-Earth Nitrides: Raman Spectra and Theory, Phys. Rev. B, 2009, 79, p 054301CrossRef S. Granville, C. Meyer, A.R.H. Preston, B.M. Ludbrook, B.J. Ruck, H.J. Trodahl et al., Vibrational Properties of Rare-Earth Nitrides: Raman Spectra and Theory, Phys. Rev. B, 2009, 79, p 054301CrossRef
18.
go back to reference B.M. Ludbrook, I.L. Farrell, M. Kuebel, B.J. Ruck, A.R.H. Preston, H.J. Trodahl et al., Growth and Properties of Epitaxial GdN, Appl. Phys., 2009, 106, p 063910CrossRef B.M. Ludbrook, I.L. Farrell, M. Kuebel, B.J. Ruck, A.R.H. Preston, H.J. Trodahl et al., Growth and Properties of Epitaxial GdN, Appl. Phys., 2009, 106, p 063910CrossRef
28.
go back to reference H.J. Trodahl, A.R.H. Preston, J. Zhong, B.J. Ruck, N.M. Strickland, C. Mitra, and W.R.L. Lambrecht, Ferromagnetic Redshift of the Optical Gap in GdN, Phys. Rev. B, 2007, 76, p 085211CrossRef H.J. Trodahl, A.R.H. Preston, J. Zhong, B.J. Ruck, N.M. Strickland, C. Mitra, and W.R.L. Lambrecht, Ferromagnetic Redshift of the Optical Gap in GdN, Phys. Rev. B, 2007, 76, p 085211CrossRef
29.
go back to reference R. Vidyasagar, S. Kitayama, H. Yoshitomi, T. Kita, T. Sakurai, and H. Ohta, Study on Spin-Splitting Phenomena in the Band Structure of GdN, Appl. Phys. Lett., 2012, 100, p 232410CrossRef R. Vidyasagar, S. Kitayama, H. Yoshitomi, T. Kita, T. Sakurai, and H. Ohta, Study on Spin-Splitting Phenomena in the Band Structure of GdN, Appl. Phys. Lett., 2012, 100, p 232410CrossRef
30.
go back to reference I.N. Sivkov, O.O. Brovko, and V.S. Stepanyuk, Spin-Polarized Transport Properties of GdN Nanocontacts, Phys. Rev. B, 2014, 89, p 195419CrossRef I.N. Sivkov, O.O. Brovko, and V.S. Stepanyuk, Spin-Polarized Transport Properties of GdN Nanocontacts, Phys. Rev. B, 2014, 89, p 195419CrossRef
31.
go back to reference R. Vidyasagar, H. Yoshitomi, S. Kitayama, and T. Kita, Microscopic Properties of Degradation-Free Capped GdN Thin Films Studied by Electron Spin Resonance, J. Appl. Phys., 2015, 117, p 043909CrossRef R. Vidyasagar, H. Yoshitomi, S. Kitayama, and T. Kita, Microscopic Properties of Degradation-Free Capped GdN Thin Films Studied by Electron Spin Resonance, J. Appl. Phys., 2015, 117, p 043909CrossRef
35.
go back to reference H. Labrim et al., Magnetic Proprieties of La2FeCoO6 Double Perovskite: Monte Carlo Study, J. Alloys Compd., 2015, 641, p 37–42CrossRef H. Labrim et al., Magnetic Proprieties of La2FeCoO6 Double Perovskite: Monte Carlo Study, J. Alloys Compd., 2015, 641, p 37–42CrossRef
36.
go back to reference L. Bahmad, R. Masrour, and A. Benyoussef, Nanographene Magnetic Properties: A Monte Carlo Study, J. Supercond. Nov. Magn., 2012, 25(6), p 2015–2018CrossRef L. Bahmad, R. Masrour, and A. Benyoussef, Nanographene Magnetic Properties: A Monte Carlo Study, J. Supercond. Nov. Magn., 2012, 25(6), p 2015–2018CrossRef
37.
go back to reference L. Bahmad, A. Benyoussef, and H. Ez-Zahraouy, Order–Disorder Layering Transitions of a Spin-1 Ising Model in a Variable Crystal Field, J. Magn. Magn. Mater., 2002, 251, p 115–121CrossRef L. Bahmad, A. Benyoussef, and H. Ez-Zahraouy, Order–Disorder Layering Transitions of a Spin-1 Ising Model in a Variable Crystal Field, J. Magn. Magn. Mater., 2002, 251, p 115–121CrossRef
42.
go back to reference P. Giannouzzi et al., QUANTUM ESPRESSO: A Modular and Open-Source Software Project for Quantum Simulations of Materials, J. Phys.: Condens. Matter, 2009, 21, p 395502 P. Giannouzzi et al., QUANTUM ESPRESSO: A Modular and Open-Source Software Project for Quantum Simulations of Materials, J. Phys.: Condens. Matter, 2009, 21, p 395502
43.
go back to reference D. Vanderbilt, Soft Self-consistent Pseudo-Potentials in a Generalized Eigenvalue Formalism, Phys. Rev. B, 1990, 41, p 7892–7895CrossRef D. Vanderbilt, Soft Self-consistent Pseudo-Potentials in a Generalized Eigenvalue Formalism, Phys. Rev. B, 1990, 41, p 7892–7895CrossRef
44.
go back to reference J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, and C. Fiolhais, Atoms, Molecules, Solids, and Surfaces: Applications of the Generalized Gradient Approximation for Exchange and Correlation, Phys. Rev. B, 1992, 46, p 6671–6687CrossRef J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, and C. Fiolhais, Atoms, Molecules, Solids, and Surfaces: Applications of the Generalized Gradient Approximation for Exchange and Correlation, Phys. Rev. B, 1992, 46, p 6671–6687CrossRef
45.
go back to reference K. Khazen, H.J. von Bardeleben, J. Cantin, A. Bittar, S. Granville, H.J. Trodahl, and B.J. Ruck, Ferromagnetic Resonance Study of GdN Thin Films with Bulk and Extended Lattice Constants, Phys. Rev. B, 2006, 74, p 245330CrossRef K. Khazen, H.J. von Bardeleben, J. Cantin, A. Bittar, S. Granville, H.J. Trodahl, and B.J. Ruck, Ferromagnetic Resonance Study of GdN Thin Films with Bulk and Extended Lattice Constants, Phys. Rev. B, 2006, 74, p 245330CrossRef
46.
go back to reference K. Momma and F. Izumi, VESTA 3 for Three-Dimensional Visualization of Crystal, Volumetric and Morphology Data, J. Appl. Crystallogr., 2011, 44, p 1272–1276CrossRef K. Momma and F. Izumi, VESTA 3 for Three-Dimensional Visualization of Crystal, Volumetric and Morphology Data, J. Appl. Crystallogr., 2011, 44, p 1272–1276CrossRef
47.
go back to reference J. Rusz, L. Bergqvist, J. Kudrnovský, and I. Turek, Exchange Interactions and Curie Temperatures in Ni2_xMnSb Alloys: First-Principles Study, Phys. Rev. B, 2006, 73, p 214412CrossRef J. Rusz, L. Bergqvist, J. Kudrnovský, and I. Turek, Exchange Interactions and Curie Temperatures in Ni2_xMnSb Alloys: First-Principles Study, Phys. Rev. B, 2006, 73, p 214412CrossRef
48.
go back to reference P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, New York, 2005CrossRef P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, New York, 2005CrossRef
49.
go back to reference H.E. Stanley, Introduction to Phase Transition and Critical Phenomena, Clarendon Press, Oxford, 1971 H.E. Stanley, Introduction to Phase Transition and Critical Phenomena, Clarendon Press, Oxford, 1971
50.
go back to reference V. Privman, Ed., Finite Size Scaling and Numerical Simulation of Statistical Systems, World Scientific, Singapore, 1990 V. Privman, Ed., Finite Size Scaling and Numerical Simulation of Statistical Systems, World Scientific, Singapore, 1990
Metadata
Title
Critical Magnetic Behavior of the Rare Earth-Based Alloy GdN: Monte Carlo Simulations and Density Functional Theory Method
Authors
S. Idrissi
S. Ziti
H. Labrim
L. Bahmad
Publication date
26-10-2020
Publisher
Springer US
Published in
Journal of Materials Engineering and Performance / Issue 11/2020
Print ISSN: 1059-9495
Electronic ISSN: 1544-1024
DOI
https://doi.org/10.1007/s11665-020-05214-w

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