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

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 1316

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 132409

K. Senapati, M.G. Blamire, and Z.H. Barber, Spin-Filter Josephson Junctions, Spin-Filter Josephson Junctions, Nat. Mater., 2011, 10, p 849

M.G. Blamire, A. Pal, Z.H. Barber, K. Senapati, in Proceedings of the SPIE 8461 (2013) 84610 J (Spintronics V)

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 064431

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 2570

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).

B.M. Ludbrook, The Magnetic Properties of Selected Rare Earth Nitrides Grown by Pulsed Laser Deposition (2009)

M. Azeem, Optical Properties of Rare Earth Nitrides. Ph.D. Thesis University of Sharjah (2013). https://doi.org/10.13140/rg.2.1.3994.4729

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 488–490

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 203509

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 607

A. Sharma and W. Nolting, Temperature dependent electronic correlation effects in GdN, J. Phys.: Condens. Matter, 2006, 18, p 7337

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 237201

V. Mankad, S.K. Gupta, and P.K. Jha, Ab Initio Investigation on Structural, Electronic and Lattice Dynamical Properties of MgN and GdN Crystals, Results Phys., 2012, 2, p 34–40. https://doi.org/10.1016/j.rinp.2012.03.002

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 235335

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 054301

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 063910

D. Massarotti, R. Caruso, A. Pal, G. Rotoli, L. Longobardi, G.P. Pepe, M.G. Blamire, and F. Tafuri, Low Temperature Properties of Spin Filter NbN/GdN/NbN Josephson Junctions, Phys. C Supercond. Appl., 2017, 533, p 53–58. https://doi.org/10.1016/j.physc.2016.07.018

W. Mingjian, S.C. Erwin, and A. Trampert, Atomistic Structure and Energetics of GdN Clusters in Gd-Doped GaN, Acta Mater., 2014, 76, p 87–93. https://doi.org/10.1016/j.actamat.2014.05.009

F. Alfaro, J.C. Sagás, B.H. Bernhard, and L.C. Fontana, Isothermal Magnetic Entropy Change in Gd/GdN Superlattices, Mater. Lett., 2019, 239, p 37–39. https://doi.org/10.1016/j.matlet.2018.12.053

R. Vidyasagar, T. Kita, T. Sakurai, T. Shimokawa, and H. Ohta, Ferromagnetic Resonance Features of Degenerate GdN Semiconductor, Phys. Lett. A, 2017, 381(22), p 1905–1909. https://doi.org/10.1016/j.physleta.2017.03.031

F. Natali, S. Vézian, S. Granville, B. Damilano, H.J. Trodahl, E.-M. Anton, H. Warring, F. Semond, Y. Cordier, S.V. Chong, and B.J. Ruck, Molecular Beam Epitaxy of Ferromagnetic Epitaxial GdN Thin Films, J. Cryst. Growth, 2014, 404, p 146–151. https://doi.org/10.1016/j.jcrysgro.2014.07.010

K. Mahmood, J. Jacob, M. Ibrahim, A. Ail, N. Amin, and S. Ikram, Modulation of Structural, Electrical, Optical and Thermoelectric Properties of MOCVD Grown GdN Thin Films by Nitrogen Environment Annealing Process, Optik, 2020, 206, p 163435. https://doi.org/10.1016/j.ijleo.2019.163435

H. Yi, L.M. Peng, D.L. Zhang, W. Zeng, L. Wan, J.Y. Han, X.W. Cheng, and W.J. Ding, Fabrication of a Bulk GdN Nanoparticles-Reinforced Mg-Gd Matrix Nanocomposite with Phenomenal Mechanical Properties, Mater. Lett., 2016, 185, p 127–130. https://doi.org/10.1016/j.matlet.2016.08.123

W. Han, G. Zhou, D. Gao, Z. Zhang, Z. Wei, H. Wang, and H. Yang, Experimental Analysis of the Pore Structure and Fractal Characteristics of Different Metamorphic Coal Based on Mercury Intrusion-Nitrogen Adsorption Porosimetry, Powder Technol., 2020, 362, p 386–398. https://doi.org/10.1016/j.powtec.2019.11.092

W. Han, G. Zhou, Q. Zhang, H. Pan, and D. Liu, Experimental Study on Modification of Physicochemical Characteristics of Acidified Coal by Surfactants and Ionic Liquids, Fuel, 2020, 266, p 116966. https://doi.org/10.1016/j.fuel.2019.116966

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 085211

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 232410

I.N. Sivkov, O.O. Brovko, and V.S. Stepanyuk, Spin-Polarized Transport Properties of GdN Nanocontacts, Phys. Rev. B, 2014, 89, p 195419

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 043909

R. Liu, G. Zhou, C. Wang, W. Jiang, and X. Wei, Preparation and Performance Characteristics of an Environmentally-Friendly Agglomerant to Improve the Dry Dust Removal Effect for Filter Material, J. Hazard. Mater., 2020, 397, p 122734. https://doi.org/10.1016/j.jhazmat.2020.122734

S. Li, G. Zhou, Z. Liu, N. Wang, Z. Wei, and W. Liu, Synthesis and Performance Characteristics of a New Ecofriendly Crust-Dust Suppressantextracted from Waste Paper for Surface Mines, J. Clean. Prod., 2020, 258, p 120620. https://doi.org/10.1016/j.jclepro.2020.120620

J. Ding, G. Zhou, D. Liu, W. Jiang, Z. Wei, and X. Dong, Synthesis and Performance of a Novel High-Efficiency Coal Dust Suppressant Based on Self-healing Gel, Environ. Sci. Technol., 2020, https://doi.org/10.1021/acs.est.0c00613 (Publication Date (Web): 27 May 2020.)

H. Labrim et al., Magnetic Proprieties of La2FeCoO6 Double Perovskite: Monte Carlo Study, J. Alloys Compd., 2015, 641, p 37–42

L. Bahmad, R. Masrour, and A. Benyoussef, Nanographene Magnetic Properties: A Monte Carlo Study, J. Supercond. Nov. Magn., 2012, 25(6), p 2015–2018

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 115–121

S. Idrissi, H. Labrim, S. Ziti, and L. Bahmad, Characterization of the Equiatomic Quaternary Heusler Alloy ZnCdRhMn: Structural, Electronic and Magnetic properties, J. Supercond. Nov. Magn., 2020, https://doi.org/10.1007/s10948-020-05561-8

S. Idrissi, S. Ziti, H. Labrim, L. Bahmad, I. El Housni, R. Khalladi, S. Mtougui, and N. El Mekkaoui, Half-Metallic Behavior and Magnetic Proprieties of the Quaternary Heusler Alloys YFeCrZ (Z = Al, Sb and Sn), J. Alloys Compd., 2020, 820, p 153373. https://doi.org/10.1016/j.jallcom.2019.153373

S. Idrissi, H. Labrim, S. Ziti, and L. Bahmad, Structural, Electronic, Magnetic Properties and Critical Behavior of the Equiatomic Quaternary Heusler Alloy CoFeTiSn, Phys. Lett. A, 2020, https://doi.org/10.1016/j.physleta.2020.126453

S. Idrissi, H. Labrim, S. Ziti et al., Investigation of the Physical Properties of the Equiatomic Quaternary Heusler Alloy CoYCrZ (Z = Si and Ge): A DFT Study, Appl. Phys. A, 2020, 126, p 190. https://doi.org/10.1007/s00339-020-3354-6

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

D. Vanderbilt, Soft Self-consistent Pseudo-Potentials in a Generalized Eigenvalue Formalism, Phys. Rev. B, 1990, 41, p 7892–7895

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 6671–6687

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 245330

K. Momma and F. Izumi, VESTA 3 for Three-Dimensional Visualization of Crystal, Volumetric and Morphology Data, J. Appl. Crystallogr., 2011, 44, p 1272–1276

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 214412

P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, New York, 2005

H.E. Stanley, Introduction to Phase Transition and Critical Phenomena, Clarendon Press, Oxford, 1971

V. Privman, Ed., Finite Size Scaling and Numerical Simulation of Statistical Systems, World Scientific, Singapore, 1990