Scaling of anomalous Hall effect as a method to determine percolation threshold and metal—insulator transition in magnetic nanocomposites with intergranular interaction

S.N. Nikolaev^†^a, A.B. Drovosekov^b, M.Yu. Dmitrieva^b, c, K.Yu. Chernoglazov^a, A.V. Sitnikov^a, d, A.N. Taldenkov^a, A.L. Vasiliev^a, e, E.A. Gan’shina^f, I.M. Pripechenkov^f, M.A. Simdyanova^f, A.B. Granovsky^f, g, V.V. Rylkov^‡^a, g, h
^aNational Research Centre ‘Kurchatov Institute’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation
^bP.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
^cHSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation
^dVoronezh State Technical University, Moskovskii prosp. 14, Voronezh, 394026, Russian Federation
^eMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russian Federation
^fLomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
^gInstitute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^hKotelnikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences, ul. Mokhovaya 11, kor. 7, Moscow, 125009, Russian Federation

Using the example of nanocomposite (NC) films (CoFeB)_x(LiNbO₃)_100−x, in which at relatively high temperatures of T ≿ 10 K a 'weakly insulating' regime is observed in the logarithmic temperature dependence of the conductivity σ ∝ ln T, characteristic of a strong tunnel coupling between granules, the scaling in the behavior of the anomalous Hall effect (AHE) resistance as a function of the longitudinal resistance ρ_AHE was studied in detail. The studies were carried out in fields up to 14 T at temperatures T = 0.4—200 K in the range of metallic phase content x ≈ 35—60 at.%, covering the percolation transition. It was found that the power n in the scaling dependence ρ_AHE ∝[ρ(T)]ⁿ behaves nonmonotonically. In the ranges x ≈ 35—44 at.% and x ≈ 50—60 at.%, an increase in the power is clearly observed, whereas in the interval x ≈ 44—50 at.%, the value of n remains practically unchanged. We believe that the kink regions in the dependence n(x) indicate a change in the NC conductivity mechanism and determine the percolation threshold (at x_p ≈ 50 at.%) and the metal—insulator transition (x_c ≈ 43—44 at.%), which do not coincide in these systems. The results of an analysis of the behavior of σ (T) at subhelium temperatures T = 0.4—3 K confirm this conclusion. Studies of the magnetic properties of NCs vs the metallic phase content x using ferromagnetic resonance and magneto-optical spectroscopy methods also indicate the pres„ence of specific features in the vicinity of concentrations x ≈ 44 and 50 at.%.

Correspondence should be addressed to
Keywords: anomalous Hall effect, nanocomposites, metal—insulator transition, percolation threshold
PACS: 64.60.ah, 71.30.+h, 75.47.−m (all)
DOI: 10.3367/UFNe.2024.11.039814
URL: https://ufn.ru/en/articles/2025/6/f/
Web of Science

001570951300008
Scopus

2-s2.0-105011964867
ADS NASA

2025PhyU...68..617N
Citation: Nikolaev S N, Drovosekov A B, Dmitrieva M Yu, Chernoglazov K Yu, Sitnikov A V, Taldenkov A N, Vasiliev A L, Gan’shina E A, Pripechenkov I M, Simdyanova M A, Granovsky A B, Rylkov V V "Scaling of anomalous Hall effect as a method to determine percolation threshold and metal—insulator transition in magnetic nanocomposites with intergranular interaction" Phys. Usp. 68 617–626 (2025)

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Received: 14th, August 2024, accepted: 23rd, November 2024

Оригинал: Николаев С Н, Дровосеков А Б, Дмитриева М Ю, Черноглазов К Ю, Ситников А В, Талденков А Н, Васильев А Л, Ганьшина Е А, Припеченков И М, Симдянова М А, Грановский А Б, Рыльков В В «Cкейлинг аномального эффекта Холла как метод определения порога перколяции и перехода металл—изолятор в магнитных нанокомпозитах с межгранульным взаимодействием» УФН 195 658–668 (2025); DOI: 10.3367/UFNr.2024.11.039814

References (50) ↓ Cited by (4) Similar articles (9)

Beloborodov I S et al Rev. Mod. Phys. 79 469 (2007)
Bedanta S, Kleemann W J. Phys. D 42 013001 (2009)
Gantmakher V F Electrons And Disorder In Solids (Oxford: Oxford Univ. Press, 2005); Translated from Russian, Gantmakher V F Elektrony V Neuporyadochennykh Sredakh (Moscow: Fizmatlit, 2005)
Efetov K B, Tschersich A Phys. Rev. B 67 174205 (2003)
Feigel’man M V, Ioselevich A S JETP Lett. 81 277 (2005); Feigel’man M V, Ioselevich A S Pis’ma Zh. Eksp. Teor. Fiz. 81 341 (2005)
Beloborodov I S, Lopatin A V, Vinokur V M Phys. Rev. B 72 125121 (2005)
Bartov D et al Phys. Rev. B 90 144423 (2014)
Mikhailovsky Yu O et al Solid State Phenomena 233-234 403 (2015)
Rylkov V V et al Phys. Rev. B 95 144202 (2017)
Milner A et al Phys. Rev. Lett. 76 475 (1996)
Pakhomov A B, Yan X, Zhao B Appl. Phys. Lett. 67 3497 (1995)
Aronzon B A et al JETP Lett. 70 90 (1999); Aronzon B A et al Pis’ma Zh. Eksp. Teor. Fiz. 70 87 (1999)
Aronzon B A et al JETP Lett. 71 469 (2000); Aronzon B A et al Pis’ma Zh. Eksp. Teor. Fiz. 71 687 (2000)
Granovsky B A et al J. Exp. Theor. Phys. 96 1104 (2003); Granovsky B A et al Zh. Eksp. Teor. Fiz. 123 1256 (2003)
Gan’shina E A et al J. Exp. Theor. Phys. 98 1027 (2004); Gan’shina E A et al Zh. Eksp. Teor. Fiz. 125 1172 (2004)
Bedanta S et al Phys. Rev. Lett. 98 176601 (2007)
Udalov O G, Beloborodov I S J. Phys. Condens. Matter 29 155801 (2017)
Udalov O G, Beloborodov I S Phys. Rev. B 95 045427 (2017)
Rylkov V V et al J. Exp. Theor. Phys. 131 160 (2020); Rylkov V V et al Zh. Eksp. Teor. Fiz. 158 164 (2020)
Rylkov V V et al J. Magn. Magn. Mater. 459 197 (2018)
Rylkov V V et al J. Exp. Theor. Phys. 126 353 (2018); Rylkov V V et al Zh. Eksp. Teor. Fiz. 153 424 (2018)
Nikolaev S N et al JETP Lett. 118 508 (2023); Nikolaev S N et al Pis’ma Zh. Eksp. Teor. Fiz. 118 519 (2023)
Nikolaev S N et al JETP Lett. 118 58 (2023); Nikolaev S N et al Pis’ma Zh. Eksp. Teor. Fiz. 118 46 (2023)
Mitsuyu T, Wasa K Jpn. J. Appl. Phys. 20 L48 (1981)
Drovosekov A B et al J. Magn. Magn. Mater. 495 165875 (2020)
Drovosekov A B et al JETP Lett. 112 84 (2020); Drovosekov A B et al Pis’ma Zh. Eksp. Teor. Fiz. 112 88 (2020)
Gan’shina E A et al Phys. Met. Metallogr. 24 126 (2023); Gan’shina E A et al Fiz. Met. Metalloved. 124 134 (2023)
Swamy G V et al AIP Advances 3 072129 (2013)
Mitani S et al Phys. Rev. Lett. 81 2799 (1998)
Chernoglazov K Yu et al Phys. Solid State 65 1534 (2023); Chernoglazov K Yu et al Fiz. Tverd. Tela 65 1602 (2023)
Li L et al Int. J. Appl. Ceram. Technol. 16 2047 (2019)
Mooij J H Phys. Status Solidi A 17 521 (1973)
Swamy G V et al J. Phys. D 48 475002 (2015)
Mott N F, Davis E A Electronic Processes In Non-Crystalline Materials (New York: Oxford Univ. Press, 1979)
Shlimak I et al Phys. Rev. B 55 1303 (1997)
Blinov M I et al J. Magn. Magn. Mater. 469 155 (2019)
Nagaosa N et al Rev. Mod. Phys. 82 1539 (2010)
Fukumura T et al Jpn. J. Appl. Phys. 46 L642 (2007)
Fernández-Pacheco A et al Phys. Rev. B 77 100403 (2008)
Onoda S, Sugimoto N, Nagaosa N Phys. Rev. B 77 165103 (2008)
Meier H, Kharitonov M Yu, Efetov K B Phys. Rev. B 80 045122 (2009)
Vedyayev A et al Phys. Rev. Lett. 110 247204 (2013)
Vedyayev A V et al Appl. Phys. Lett. 103 032406 (2013)
Matos-Abiague A, Fabian J Phys. Rev. Lett. 115 056602 (2015)
Karashtin E A et al J. Exp. Theor. Phys. 136 1 (2023); Karashtin E A et al Zh. Eksp. Teor. Fiz. 163 5 (2023)
Vedyaev A V, Granovsky A B Sov. Phys. Solid State 28 1293 (1986); Vedyaev A V, Granovsky A B Fiz. Tverd. Tela 28 2310 (1986)
Liu X-J, Liu X, Sinova J Phys. Rev. B 84 165304 (2011)
Liu X et al Phys. Rev. B 83 144421 (2011)
Shitade A, Nagaosa N J. Phys. Soc. Jpn. 81 083704 (2012)
Gan’shina E A et al J. Exp. Theor. Phys. 137 572 (2023); Gan’shina E A et al Zh. Eksp. Teor. Fiz. 164 662 (2023)