N. F. Mott, A discussion of the transition metals on the basis of quantum mechanics, Proceedings of the Physical Society, p.571, 1935.
DOI : 10.1088/0959-5309/47/4/305

G. Wexler, The size effect and the non-local Boltzmann transport equation in orifice and disk geometry, Proceedings of the Physical Society, p.927, 1966.
DOI : 10.1088/0370-1328/89/4/316

C. P. Robert, Monte Carlo Methods, 2004.
DOI : 10.1017/CBO9780511614460

URL : https://hal.archives-ouvertes.fr/hal-00412639

J. Liu, J. Huang, L. Hao, H. Liu, and X. Li, SnO2 nano-spheres/graphene hybrid for highperformance lithium ion battery anodes, Ceramics International, vol.8623, issue.8, p.39, 2013.
DOI : 10.1016/j.ceramint.2013.04.037

Q. Zhang, Synthesis of a MoS 2@ MWNT nanostructure with enhanced field emission and electrochemical properties, RSC Advances, pp.3-27

D. Minoli, Nanotechnology applications to telecommunications and networking, 2005.
DOI : 10.1002/0471736600

Y. Saito, Carbon nanotube and related field emitters: fundamentals and applications
DOI : 10.1002/9783527630615

A. Fert, P. Grünberg, A. Barthelemy, F. Petroff, and W. Zinn, Layered magnetic structures: interlayer exchange coupling and giant magnetoresistance, Journal of Magnetism and Magnetic Materials, vol.140, issue.144, p.140, 1995.
DOI : 10.1016/0304-8853(94)00880-9

G. L. Verschuur, Hidden attraction: the history and mystery of magnetism, 1996.

E. J. Verwey, Electronic Conduction of Magnetite (Fe3O4) and its Transition Point at Low Temperatures, Nature, vol.144, issue.3642, 1939.
DOI : 10.1038/144327b0

H. Oersted, Electricity and magnetic needles, Philosophy, vol.16, issue.273, 1820.

M. Faraday, The Bakerian Lecture: On the Manufacture of Glass for Optical Purposes

F. Bitter, On the Magnetic Properties of Metals, Physical Review, vol.123, issue.5, p.978, 1930.
DOI : 10.1098/rspa.1929.0072

F. Bitter, The Magnetic Susceptibility of Gases II. Temperature Dependence, Physical Review, vol.33, issue.11, p.1648, 1930.
DOI : 10.1103/PhysRev.33.389

F. Bitter, The Magnetic Susceptibility of Gases I. Pressure Dependence, Physical Review, vol.34, issue.12, p.1572, 1930.
DOI : 10.1103/PhysRev.34.635

D. J. Dunlop and Ö. Özdemir, Rock magnetism: fundamentals and frontiers
DOI : 10.1017/CBO9780511612794

A. H. Morrish, The physical principles of magnetism, 1965.

P. M. Lahti, Magnetic properties of organic materials, 1999.

C. M. Hurd, Varieties of magnetic order in solids, Contemporary Physics, vol.20, issue.5, p.469, 1982.
DOI : 10.1016/0304-8853(80)90528-4

R. S. Ellis and C. M. Newman, The statistics of Curie-Weiss models, Journal of Statistical Physics, vol.28, issue.2, 1978.
DOI : 10.1007/BF01012508

S. Hudgens, M. Kastner, and H. Fritzsche, Diamagnetic Susceptibility of Tetrahedral Semiconductors, Physical Review Letters, vol.7, issue.26, p.1552, 1974.
DOI : 10.1103/PhysRevB.7.2481

T. A. Kaplan, Classical Spin-Configuration Stability in the Presence of Competing Exchange Forces, Physical Review, vol.3, issue.4, 1959.
DOI : 10.1103/PhysRevLett.3.211

D. R. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, Physical Review B, vol.69, issue.6, p.2239, 1976.
DOI : 10.1002/pssb.2220690137

W. H. Meiklejohn and C. Bean, New Magnetic Anisotropy, Physical Review, vol.22, issue.3, p.904, 1957.
DOI : 10.1063/1.1739881

W. H. Meiklejohn and C. Bean, New magnetic anisotropy, p.1413, 1956.

A. Bobak and M. Ja??ur, Ferrimagnetism in diluted mixed Ising spin systems, Physical Review B, vol.5, issue.17, p.11533, 1995.
DOI : 10.1088/0953-8984/5/40/003

URL : https://hal.archives-ouvertes.fr/jpa-00255112

P. W. Anderson and H. Hasegawa, Considerations on Double Exchange, Physical Review, vol.24, issue.2, p.675, 1955.
DOI : 10.1103/RevModPhys.24.249

T. Moriya, Anisotropic Superexchange Interaction and Weak Ferromagnetism, Physical Review, vol.4, issue.1, p.91, 1960.
DOI : 10.1103/PhysRev.117.635

Y. Yafet, Ruderman-Kittel-Kasuya-Yosida range function of a one-dimensional freeelectron gas, Physical Review B, vol.36, issue.3948, 1987.

N. Metropolis and S. Ulam, The Monte Carlo Method, Journal of the American Statistical Association, vol.44, issue.247, 1949.
DOI : 10.1080/01621459.1949.10483310

M. H. Kalos and P. A. Whitlock, Monte carlo methods, 2008.

H. Niederreiter, Random number generation and quasi-Monte Carlo methods, Society for Industrial and Applied Mathematics, 1992.
DOI : 10.1137/1.9781611970081

D. Freitas, N. Andrieu, C. Højen-sørensen, P. Niranjan, M. Gee et al., Sequential Monte Carlo methods for neural networks. In Sequential Monte Carlo methods in practice, p.359, 2001.
DOI : 10.1007/978-1-4757-3437-9_17

URL : http://orbit.dtu.dk/en/publications/sequential-monte-carlo-methods-for-neural-networks(90fc3b00-caa8-4a13-ab5c-361578bf978a).html

S. Zriouel, Contributions à l'étude Monte Carlo des propriétés magnétiques des nanomatériaux type graphyne et graphone, Thèse de Doctorat, 2016.

K. Binder, Applications of Monte Carlo methods to statistical physics, Reports on Progress in Physics, vol.60, issue.487, 1997.

C. J. Geyer, Practical Markov Chain Monte Carlo, Statistical Science, vol.7, issue.4, p.473, 1992.
DOI : 10.1214/ss/1177011137

W. K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, vol.57, issue.1, p.97, 1970.
DOI : 10.1093/biomet/57.1.97

A. F. Smith and G. Roberts, Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods, Journal of the Royal Statistical Society. Series B (Methodological), vol.3, 1993.

H. Haario, E. Saksman, and J. Tamminen, An Adaptive Metropolis Algorithm, Bernoulli, vol.7, issue.2, pp.223-242, 2001.
DOI : 10.2307/3318737

URL : http://www.geo.fmi.fi/~jtammine/ampure.ps.gz

W. R. Gilks, S. Richardson, and D. Spiegelhalter, Markov chain Monte Carlo in practice, 1995.

K. Binder, Introduction: Theory and " technical " aspects of Monte Carlo simulations

D. A. Wolf-gladrow, Lattice-gas cellular automata and lattice Boltzmann models : an introduction, 2004.
DOI : 10.1007/b72010

URL : http://cds.cern.ch/record/1691467/files/9783540669739_TOC.pdf

K. Hukushima and K. Nemoto, Exchange Monte Carlo Method and Application to Spin Glass Simulations, Journal of the Physical Society of Japan, vol.65, issue.6, p.1604, 1996.
DOI : 10.1143/JPSJ.65.1604

URL : http://arxiv.org/pdf/cond-mat/9512035

P. J. Green, Reversible jump Markov chain Monte Carlo computation and Bayesian model determination, Biometrika, vol.82, issue.4, p.711, 1995.
DOI : 10.1093/biomet/82.4.711

B. Larget and D. L. Simon, Markov chain Monte Carlo algorithms for the Bayesian analysis of phylogenetic trees, Molecular biology and evolution, vol.16, issue.750, 1999.

R. J. Glauber, Time???Dependent Statistics of the Ising Model, Journal of Mathematical Physics, vol.4, issue.2, 1963.
DOI : 10.1002/sapm194625137

T. D. Lee and C. N. Yang, Statistical theory of equations of state and phase transitions

P. Pfeuty, The one-dimensional Ising model with a transverse field, Annals of Physics, vol.57, issue.1, p.79, 1970.
DOI : 10.1016/0003-4916(70)90270-8

S. E. Kobe, . Ising?physicist, and . Teacher, Ernst Ising???Physicist and Teacher, Journal of Statistical Physics, vol.88, issue.3/4, p.991, 1997.
DOI : 10.1023/B:JOSS.0000015184.19421.03

URL : http://arxiv.org/pdf/cond-mat/9605174

P. Pfeuty, The one-dimensional Ising model with a transverse field, Annals of Physics, vol.57, issue.1, p.79, 1970.
DOI : 10.1016/0003-4916(70)90270-8

P. Diaconis and L. Saloff-coste, What do we know about the Metropolis algorithm, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.112, 1995.
DOI : 10.1145/225058.225095

URL : http://www.stat.duke.edu/~scs/Courses/Stat376/Papers/ConvergeRates/DiaconisMetropWhatDoWeKnow.pdf

J. G. Amar, F. E. Sullivan, and R. D. Mountain, Monte Carlo study of growth in the twodimensional spin-exchange kinetic Ising model, Physical Review B, vol.37, issue.196, 1988.

U. Wolff, Collective Monte Carlo Updating for Spin Systems, Physical Review Letters, vol.269, issue.4, p.361, 1989.
DOI : 10.1016/0550-3213(86)90229-4

R. H. Swendsen and J. S. Wang, Nonuniversal critical dynamics in Monte Carlo simulations. Physical review letters, 1987.
DOI : 10.1103/physrevlett.58.86

C. M. Fortuin and P. W. Kasteleyn, On the random-cluster model: I. Introduction and relation to other models, Physica, vol.57, issue.536, 1972.

A. Coniglio and W. Klein, Clusters and Ising critical droplets: a renormalisation group approach, Journal of Physics A: Mathematical and General, vol.13, issue.8, p.2775, 1980.
DOI : 10.1088/0305-4470/13/8/025

URL : http://iopscience.iop.org/article/10.1088/0305-4470/13/8/025/pdf

F. Niedermayer, General cluster updating method for Monte Carlo simulations. Physical review letters, p.61, 1988.
DOI : 10.1103/physrevlett.61.2026

F. Wu, The potts model. Reviews of modern physics, 1982.
DOI : 10.1103/revmodphys.54.235

R. J. Baxter, Potts model at the critical temperature, Journal of Physics C: Solid State Physics, vol.6, issue.23, p.445, 1973.
DOI : 10.1088/0022-3719/6/23/005

J. A. Plascak and J. G. Moreira, Mean field solution of the general spin Blume-Capel model, Physics Letters A, vol.173, issue.4-5, pp.4-5, 1993.
DOI : 10.1016/0375-9601(93)90250-4

D. M. Saul, M. Wortis, and D. Stauffer, Tricritical behavior of the Blume-Capel model, Physical Review B, vol.10, issue.11, p.4964, 1974.
DOI : 10.1063/1.2946761

M. Blume, V. J. Emery, and R. B. Griffiths, Mixtures, Physical Review A, vol.16, issue.3, p.1071, 1971.
DOI : 10.1143/PTP.16.416

R. J. Baxter, Partition function of the eight-vertex lattice model, Annals of Physics, vol.70, issue.193, 1972.

R. Hao, R. Xing, Z. Xu, Y. Hou, S. Gao et al., Synthesis, Functionalization, and Biomedical Applications of Multifunctional Magnetic Nanoparticles, Advanced Materials, vol.19, issue.25, pp.22-2729, 2010.
DOI : 10.1002/adfm.200801844

A. Akbarzadeh, M. Samiei, and S. Davaran, Magnetic nanoparticles: preparation, physical properties, and applications in biomedicine, Nanoscale Research Letters, vol.7, issue.1, 2012.
DOI : 10.1016/S0168-3659(98)00123-0

URL : https://nanoscalereslett.springeropen.com/track/pdf/10.1186/1556-276X-7-144?site=nanoscalereslett.springeropen.com

R. Masrour, L. Bahmad, and A. Benyoussef, Monte Carlo study of nanowire magnetic properties, Chinese Physics B, vol.22, issue.5, p.57504, 2013.
DOI : 10.1088/1674-1056/22/5/057504

F. William, . Smith, and J. Hashemi, Foundations of materials science and engineering

M. Widom, W. P. Huhn, S. Maiti, and W. Steurer, Hybrid Monte Carlo/Molecular Dynamics Simulation of a Refractory Metal High Entropy Alloy, Metallurgical and Materials Transactions A, vol.4, issue.1, 2014.
DOI : 10.1016/0036-9748(70)90195-X

K. Dolui, I. Rungger, C. D. Pemmaraju, and S. Sanvito, study, Physical Review B, vol.88, issue.7, p.75420, 2013.
DOI : 10.1103/PhysRevB.85.033305

Y. Yüksel, E. Ayd?ner, and H. Polat, Thermal and magnetic properties of a ferrimagnetic nanoparticle with spin-3/2 core and spin-1 shell structure, Journal of Magnetism and Magnetic Materials, vol.323, issue.23, pp.323-3168, 2011.
DOI : 10.1016/j.jmmm.2011.07.011

S. I. Ohkoshi, Y. Abe, A. Fujishima, and K. Hashimoto, Design and Preparation of a Novel Magnet Exhibiting Two Compensation Temperatures Based on Molecular Field Theory, Physical Review Letters, vol.272, issue.6, p.1285, 1999.
DOI : 10.1126/science.272.5262.704

R. G. Chaudhuri and S. Paria, Core/Shell Nanoparticles: Classes, Properties, Synthesis Mechanisms, Characterization, and Applications, Chemical Reviews, vol.112, issue.4, p.2373, 2012.
DOI : 10.1021/cr100449n

S. Gai, P. Yang, C. Li, W. Wang, Y. Dai et al., Synthesis of Magnetic, Up-Conversion Luminescent, and Mesoporous Core-Shell-Structured Nanocomposites as Drug Carriers, Advanced Functional Materials, vol.19, issue.7, p.1166, 2010.
DOI : 10.1007/978-3-642-79017-1

V. K. Gupta, N. Atar, M. L. Yola, Z. Üstünda?, and L. Uzun, A novel magnetic Fe@Au core???shell nanoparticles anchored graphene oxide recyclable nanocatalyst for the reduction of nitrophenol compounds, Water Research, vol.48, pp.48-210, 2014.
DOI : 10.1016/j.watres.2013.09.027

A. Zaim, M. Kerouad, and Y. Amraoui, Magnetic properties of a ferrimagnetic core/shell nanocube Ising model: A Monte Carlo simulation study, Journal of Magnetism and Magnetic Materials, vol.321, issue.8, pp.321-1077, 2009.
DOI : 10.1016/j.jmmm.2008.10.009

M. Vasilakaki, K. N. Trohidou, and J. Nogués, Enhanced magnetic properties in antiferromagnetic-core/ferrimagnetic-shell nanoparticles Scientific reports, pp.5-2015
DOI : 10.1038/srep09609

URL : http://www.nature.com/articles/srep09609.pdf

M. Vasilakaki, C. Binns, and K. N. Trohidou, Susceptibility losses in heating of magnetic core/shell nanoparticles for hyperthermia: a Monte Carlo study of shape and size effects, Nanoscale, vol.22, issue.40
DOI : 10.1039/c2jm34402e

M. Vasilakaki, Memory effects on the magnetic behavior of assemblies of nanoparticles with ferromagnetic core/antiferromagnetic shell morphology, Physical Review B, vol.5, issue.14, p.140402, 2013.
DOI : 10.1088/1742-6596/200/7/072074

A. Zaim and M. Kerouad, Monte Carlo simulation of the compensation and critical behaviors of a ferrimagnetic core/shell nanoparticle Ising model. Physica A: Statistical Mechanics and its Applications, p.389, 2010.

Y. Yüksel, E. Vatansever, and H. Polat, Dynamic phase transition properties and hysteretic behavior of a ferrimagnetic core???shell nanoparticle in the presence of a time dependent magnetic field, Journal of Physics: Condensed Matter, vol.24, issue.43, pp.24-436004, 2012.
DOI : 10.1088/0953-8984/24/43/436004

L. M. Liu, W. Jiang, Z. Wang, H. Y. Guan, and A. B. Guo, Magnetization and phase diagram of a cubic nanowire in the presence of the crystal field and the transverse field, Journal of Magnetism and Magnetic Materials, vol.324, issue.23, pp.324-4034, 2012.
DOI : 10.1016/j.jmmm.2012.07.011

M. Wang and C. M. Li, Magnetic properties of all-carbon graphene-fullerene nanobuds, Physical Chemistry Chemical Physics, vol.49, issue.13
DOI : 10.1103/PhysRevB.49.14251

T. Sahdane, A. Mhirech, L. Bahmad, and B. Kabouchi, Monte Carlo Study of Magnetic and Thermal Phase Transitions of a Diluted Magnetic Nanosystem, Journal of Superconductivity and Novel Magnetism, vol.232, issue.3a, 2017.
DOI : 10.1002/1521-3951(200208)232:2<254::AID-PSSB254>3.0.CO;2-O

J. Hammersley, Monte carlo methods, 2013.

A. Mhirech, S. Aouini, A. Alaoui-ismaili, and L. Bahmad, Monte Carlo Study of the Magnetic Properties in a Fullerene-Like Structure: X 20, X 60, or X 70, Journal of Superconductivity and Novel Magnetism, vol.21, issue.2939, p.925, 2017.
DOI : 10.1063/1.1699114

W. I. David, R. M. Ibberson, T. J. Dennis, J. P. Hare, and K. Prassides, Structural phase transitions in the fullerene C60, EPLEurophysics Letters), vol.18, issue.219, 1992.

T. Sahdane, A. Mhirech, L. Bahmad, and B. Kabouchi, Magnetic properties of a bi-fullerenelike structure, X60-Y60, with RKKY interactions in the Blume?Capel model, International Journal of Modern Physics B, p.1850031, 2017.

L. Bahmad, A. Benyoussef, and H. Ez-zahraouy, Monte Carlo study of order???disorder layering transitions in the Blume???Capel model, Surface Science, vol.552, issue.1-3, 2004.
DOI : 10.1016/j.susc.2004.01.044

K. Kanari, C. Sarafidis, M. Gjoka, D. Niarchos, and O. Kalogirou, Processing of magnetically anisotropic MnBi particles by surfactant assisted ball milling, Journal of Magnetism and Magnetic Materials, vol.426, pp.426-691, 2017.
DOI : 10.1016/j.jmmm.2016.10.141

S. Muralidhar, Temperature-dependent first-order reversal curve measurements on unusually hard magnetic low-temperature phase of MnBi, Physical Review B, vol.31, issue.2, pp.2017-024413
DOI : 10.1063/1.4865135

H. Moon, S. Kim, H. Jung, H. S. Lee, and W. Lee, Layer-number dependence of the magnetic properties of MnBi films, Applied Surface Science, vol.420, pp.420-618, 2017.
DOI : 10.1016/j.apsusc.2017.05.149

H. Göbel, E. Wolfgang, and H. Harms, Properties of MnBi compounds partially substituted with Cu, Zn, Ti, Sb, and Te. I. Formation of mixed phases and crystal structures, Physica Status Solidi (a), vol.30, issue.2, p.34, 1976.
DOI : 10.1002/pssa.2210340218

J. X. Shen, R. D. Kirby, D. J. Sellmyer, and Y. J. Wang, Magneto???optical properties of MnBiAl thin films, Journal of Applied Physics, vol.81, issue.8, p.69, 1991.
DOI : 10.1063/1.1714195

D. Chen and Y. Gond?, Temperature Dependence of the Magneto???Optic Effect and Resonance Phenomena in Oriented MnBi Films, Journal of Applied Physics, vol.10, issue.3, p.1024, 1964.
DOI : 10.1088/0370-1298/66/9/308

K. Egashira and T. Yamada, Kerr???effect enhancement and improvement of readout characteristics in MnBi film memory, Journal of Applied Physics, vol.45, issue.8, 1974.
DOI : 10.1063/1.1660779

V. P. Antropov, V. N. Antonov, L. V. Bekenov, A. Kutepov, and G. Kotliar, Magnetic anisotropic effects and electronic correlations in MnBi ferromagnet, Physical Review B, vol.19, issue.5, p.54404, 2014.
DOI : 10.1007/3-540-54162-4

URL : http://arxiv.org/pdf/1408.3540

. Sb, ?. Ni, and . Sb, Zeitschrift für Physikalische Chemie, 1938.

T. Hihara and Y. Koi, Nuclear Magnetic Resonance Study of the Easy Axis of Magnetization in Manganese Bismuthide, Journal of the Physical Society of Japan, vol.29, issue.2, 1970.
DOI : 10.1143/JPSJ.29.343

T. J. Williams, Extended magnetic exchange interactions in the high-temperature ferromagnet MnBi, Applied Physics Letters, vol.7, issue.19, 2016.
DOI : 10.1103/PhysRevB.64.085204

H. Moon, S. Kim, H. Jung, H. S. Lee, and W. Lee, Layer-number dependence of the magnetic properties of MnBi films, Applied Surface Science, vol.420, pp.420-618, 2017.
DOI : 10.1016/j.apsusc.2017.05.149