Monte Carlo Study of a Three-Dimensional Semi-infinite Spin-1/2 System Limited by a Spin-1 Surface

Main Article Content

O. Elgarraoui
K. El Kihel
M. Monkade
M. Madani
M. El Bouziani

Abstract

We investigated a three-dimensional semi-infinite spin-1/2 system bounded by a spin-1 surface using a Monte Carlo simulation based on the Metropolis algorithm. The exchange interactions and crystal field effects on phase diagrams, magnetizations, and susceptibilities were investigated. The phase diagrams in three planes were presented due to the competition between specific system parameters. The system demonstrated ordinary, extraordinary, surface, and special second-order phase transitions, as well as a surface first-order phase transition. Furthermore, tricritical and critical end-points were discovered.

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How to Cite
[1]
O. Elgarraoui, K. El Kihel, M. Monkade, M. Madani, and M. El Bouziani, “Monte Carlo Study of a Three-Dimensional Semi-infinite Spin-1/2 System Limited by a Spin-1 Surface”, Acta Phys. Pol. A, vol. 145, no. 4, p. 186, Apr. 2024, doi: 10.12693/APhysPolA.145.186.
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References

K. Binder, Critical Behavior at Surfaces, Phase Transitions and Critical Phenomena, Eds. C. Domb, J.L. Lebowitz, Academic Press, New York 1983, p. 8

H.W. Diehl, Int. J. Mod. Phys. B 11, 3503 (1997)

C. Rau, C. Jin, M. Robert, J. Appl. Phys. 63, 3667 (1988)

M. Polak, L. Rubinovich, J. Deng, Phys. Rev. Lett. 74, 4059 (1995)

H. Dosch, Critical Phenomena at Surfaces and Interfaces, Springer, Berlin 1992

C. Rau, M. Robert, Phys. Rev. Lett. 58, 2714 (1987)

F. Gimbert, L. Calmels, S. Andrieu, Phys. Rev. B 84, 094432 (2011)

C.S. Arnold, D.P. Pappas, Phys. Rev. Lett. 85, 5202 (2000)

A.B. Shick, W.E. Pickett, C.S. Fadley, Phys. Rev. B 61, 9213 (2000)

A.J. Bray, M.A. Moore, J. Phys. A Math. Gen. 10, 1927 (1977)

M. Saber, J. Phys. C Solid State Phys. 20, 2749 (1987)

K. Binder, D.P. Landau, Phys. Rev. Lett. 52, 318 (1984)

S.V. Belim, E.V. Trushnikova, Phys. Met. Metallogr. 119, 441 (2018)

N.M. Švrakić, R. Pandit, M. Wortis, Phys. Rev. B 22, 1286 (1980)

R. Lipowsky, H. Wagner, Z. Phys. B Condens. Matter 42, 355 (1981)

T. Kaneyoshi, I. Tamura, E.F. Sarmento, Phys. Rev. B 28, 6491 (1983)

A. Benyoussef, N. Boccara, M. Saber, J. Phys. C 18, 4275 (1985)

R. Lipowsky, W. Speth, Phys. Rev. B 28, 3983 (1983)

K. Binder, P.C. Hohenberg, Phys. Rev. B 9, 2194 (1974)

H. Au-Yang, M.E. Fisher, Phys. Rev. B 21, 3956 (1980)

M.E. Fisher, A.E. Ferdinand, Phys. Rev. Lett. 19, 169 (1967)

A. Benyoussef, N. Boccara, M. Saber, J. Phys. C Solid State Phys. 19, 1983 (1986)

A. Bakchich, M. El Bouziani, Phys. Rev. B 56, 11161 (1997)

A. Bakchich, M. El Bouziani, J. Phys. Condens. Matt. 11, 6147 (1999)

A. Benyoussef, N. Boccara, M. El Bouziani, Phys. Rev. B 34, 7775 (1986)

A. Bakchich, M. El Bouziani, Phys. Rev. B 63, 064408 (2001)

O. Kahn, Molecular Magnetism, Courier Dover Publications, 2021

S. Zouhair, M. Monkade, A. El Antari, M. El Bouziani, N. Hachem, M. Madani, Surf. Rev. Lett. 28, 2150025 (2021)

A. El Antari, A. Alrajhi, M. Bourass, S. Zouhair, M. Madani, N. Hachem, M. El Bouziani, J. Adv. Phys. 7, 281 (2018)

A. El Antari, N. Hachem, A. Al-Rajhi, M. Madani, M. El Bouziani, Eur. Phys. J. Plus. 135, 460 (2020)

M. El Bouziani, M. Madani, A. Gaye, A. Alrajhi, World J. Condens. Matter Phys. 6, 109 (2016)

S.J. Callori, T. Saerbeck, D.L. Cortie, K.-W. Lin, Solid State Phys. 71, 73 (2020)

E.Y. Vedmedenko, R.K. Kawakami, D.D. Sheka, P. Gambardella, A. Kirilyuk, A. Hirohata, C. Binek, O. Chubykalo-Fesenko, S. Sanvito, B.J. Kirby, J. Phys. D Appl. Phys. 53, 453001 (2020)

P.P. Freitas, F.A. Cardoso, V.C. Martins, S.A.M. Martins, J. Loureiro, J. Amaral, C. Fermon, Lab Chip 12, 546 (2012)

C. Lueng, P. Lupo, T. Schefer, P.J. Metaxas, A.O. Adeyeye, M. Kostylev, Int. J. Hydrogen Energy 44, 7715 (2019)

C. Lueng, P. Lupo, P.J. Metaxas, M. Kostylev, A.O. Adeyeye, Adv. Mater. Technol. 1, 1600097 (2016)

S. Sabri, A.G. El Hachimi, M. El Yadari, A. Benyoussef, A. El Kenz, Physica A 511, 207 (2018)

O. Elgarraoui, H. Saadi, M. Monkade, N. Hachem, M. El Bouziani, Surf. Sci. 738, 122369 (2023)

T. Kaneyoshi, J. Phys. Soc. Jap. 58, 1755 (1989)

N. Benayad, J. Zittartz, Z. Phys. B Condens. Matter 81, 107 (1990)

N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, E. Teller, J. Chem. Phys. 21, 1087 (1953)

A.G. El Hachimi, M. El Yadari, A. Benyoussef, A. El Kenz, L. Bahmad, Physica A 410, 370 (2014)

T. Kaneyoshi, Introduction to Surface Magnetism, CRC Press, Boca Raton (FL) 1991

L.B. Drissi, S. Zriouel, L. Bahmad, J. Magn. Magn. Mater. 374, 639 (2015)

Y.A. Qahoom, R. Aharrouch, K. El Kihel, M. Madani, N. Hachem, M. El Bouziani, SPIN 13, 2340009 (2023)

M. Bentaleb, N. El Aouad, M. Saber, Phys. Status Solidi B 231, 529 (2002)

T. Kaneyoshi, S. Shin, Physica A 260, 455 (1998)

C. Buzano, A. Pelizzola, Physica A 216, 158 (1995)