Study of the substrate influence on the critical behavior of a two-dimensional ferromagnet

S. V. Belim ; I. V. Bychkov ; I. V. Maltsev

Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 2, pp. 226-236.

Résumé

We investigate the substrate influence on the critical behavior of a magnetic monolayer film by the computer simulation method. The substrate performs as a two-dimensional periodic potential. We used a two-dimensional generalization of the Frenkel — Kontorova potential for the substrate. The Ising model is used to simulate a ferromagnetic film. Monte Carlo simulation was carried out using the Wolf cluster algorithm. We obtain the dependence of Curie temperature and critical exponents of the substrate potential period for different values of the substrate potential amplitude.

Détail

Keywords: ferromagnetic film, Frenkel — Kontorova potential, phase transition, critical exponent.

Bibliographie

[1] Belim S.V., Bychkov I.V., Kuzmin D.A., Shavrov V.G., “Phase transition study in two-dimensional structured nanosystem”, Chelyabinsk Physical and Mathematical Journal, 5:4, p. 1 (2020), 463–470 | MR

[2] Kim J., Akinaga H., Kim J., “Observation of magnetic domain structures in epitaxial MnAs film on GaAs(001) with temperature hysteresis”, Applied Physics Letters, 98:10 (2011), 102511 | DOI

[3] Paes V. Z. C., Graff I. L., Varalda J., Etgens V. H., “The role of magnetoelastic and magnetostrictive energies in the magnetization process of MnAs/GaAs epilayers”, Journal of Physics: Condensed Matter, 25:4 (2013), 046003 | DOI

[4] Fu X., Warot-Fonrose B., Arras R., Seine G., Demaille D., Eddrief M., Etgens V., Serin V., “In situ observation of ferromagnetic order breaking in MnAs/GaAs(001) and magnetocrystalline anisotropy of $\alpha$-MnAs by electron magnetic chiral dichroism”, Physical Review B., 93:10 (2016), 104410 | DOI

[5] Garcia V., Sidis Y., Marangolo M., Vidal F., Eddrief M., Bourges P., Maccherozzi F., Ott F., Panaccione G., Etgens V., “Biaxial strain in the hexagonal plane of MnAs thin films: The key to stabilize ferromagnetism to higher temperature”, Physical Review Letters, 99:11 (2007), 117205 | DOI

[6] Udalov O. G., Beloborodov I. S., “Tuning the magnetic state in a phase-separated magnetic oxide thin film by means of electric field and temperature”, Physical Review B., 101:17 (2020), 174433 | DOI

[7] Schmitz M., Weber A., Petracic O., Waschk M., Zakalek P., Mattauch S., Koutsioubas A., Bruckel T., “Strain and electric field control of magnetism in La$_{1-x}$Sr$_x$MnO$_3$ thin films on ferroelectric BaTiO$_3$ substrates”, New Journal of Physics, 22:5 (2020), 053018 | DOI

[8] Wang L., Li Z., Wang C., Gong X., Wang C., “Phase transition-induced modulation of exchange bias in Fe/BiFeO$_3$ bilayers”, Science of Advanced Materials, 12:5 (2020), 701–706 | DOI

[9] Kumar A., Kumar V., Shukla D., Kumar R., Choudhary R. J., Kumar R., “tructural, electronic, transport and magnetic studies of LaCo$_{1-x}$Ni$_x$O$_3$ ($x=0,\,0.3$) thin films”, Journal of Applied Physics, 126:23 (2019), 235103 | DOI

[10] Frenkel J., Kontorova T., “On the theory of plastic deformation and twinning”, Academy of Sciences of the USSR, 1939:1 (Journal of Physics), 137–-149 | MR

[11] Wolff U., “Collective Monte Carlo updating for spin systems”, Physical Review Letters, 62 (1989), 361–364 | DOI

[12] Binder K., “Critical properties from Monte-Carlo coarse-graining and renormalization”, Physical Review Letters, 47 (1981), 693–696 | DOI | MR

[13] Landau D. P., Binder K., “Phase diagrams and multicritical behavior of a three-dimensional anisotropic Heisenberg antiferromagnet”, Physical Review B., 17 (1978), 2328–2342 | DOI

[14] Aubry S., LeDaeron P. Y., “The discrete Frenkel — Kontorova model and its extensions: I. Exact results for the ground-states”, Physica D., 8:3 (1983), 381–422 | DOI | MR | Zbl

[15] Chou W., Griffiths R. B., “Ground states of one-dimensional systems using effective potentials”, Physica D., 34:9 (1986), 6219

[16] Hupalo M., Schmalian J., Tringides M. C., “"Devil’s staircase" in Pb/Si(111) Ordered Phases”, Physical Review Letters, 90:21 (2003), 216106 | DOI

[17] Babushkin A. Y., Abkaryan A. K., Dobronets B. S., Krasikov V. S., Filonov A. N., “The ground state of the Frenkel — Kontorova model”, Physics of the Solid State, 58:9 (2016), 1834–1845 | DOI

[18] Abkaryan A. K., Babushkin A. Y., Dobronets B. S., Krasikov V. S., Filonov A. N., “Ground state of a periodic elastic atomic chain in an arbitrary periodic potential”, Physics of the Solid State, 58:2 (2016), 346–350 | DOI

[19] Yan M. Y., Yan J. M., Zhang M. Y., Chen T. W., Gao G. Y., Wang F. F., Chai Y., Zheng R. K., “Nonvolatile manipulation of electronic and ferromagnetic properties of NiO-Ni epitaxial film by ferroelectric polarization charge”, Applied Physics Letters, 117:23 (2020), 232901 | DOI

[20] Chaturvedi V., Walter J., Paul A., Grutter A., Kirby B., Jeong J. S., Zhou H., Zhang Z., Yu B., Greven M., Mkhoyan K. A., Birol T., Leighton C., “Strain-induced majority carrier inversion in ferromagnetic epitaxial LaCoO$_{3-\delta}$ thin films”, Physical Review Materials, 4:3 (2020), 034403 | DOI

[21] Liu Y., Ma T., Qiao K., Li J., Xiao A., Wang J., Hu F., Shen B., “Strain control of phase transition and magnetocaloric effect in Nd$_{0.5}$Sr$_{0.5}$MnO$_3$ thin films”, Applied Physics Letters, 116:8 (2020), 082402 | DOI

[22] Singh A. V., Srivastava A., Mohammadi J. B., Regmi S., Bhat U., Datta R., Mewes T., Gupta A., “Studies of electrical and magnetic properties across the Verwey transition in epitaxial magnetite thin films”, Journal of Applied Physics, 126:9 (2019), 093902 | DOI

[23] Panchal G., Phase D. M., Reddy V. R., Choudhary R. J., “Strain-induced elastically controlled magnetic anisotropy switching in epitaxial La$_{0.7}$Sr$_{0.3}$MnO$_3$ thin films on BaTiO$_3$(001)”, Physical Review B., 98:4 (2018), 045417 | DOI

[24] Panchal G., Choudhar R. J., Phase D. M., “Magnetic properties of La$_{0.7}$Sr$_{0.3}$MnO$_3$ film on ferroelectric BaTiO$_3$ substrate”, Journal of Magnetism and Magnetic Materials, 448 (2018), 262–265 | DOI

[25] Ban Y., Komatsu K., Sakuragi S., Taniyama T., Kageshima H., Sato T., “Change in magnetization of ferromagnetic Pd(001) ultrathin films induced by the strain effect of BaTiO$_3$”, Applied Physics Letters, 112:14 (2018), 142409 | DOI