To the question of detecting single domains based on the anomalous Hall effect

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Abstract

Numerical modeling of the anomalous Hall effect in thin-film structures with strong perpendicular magnetic anisotropy was performed. The dependence of the Hall response on the position of a single domain inside the measuring cell (the Hall cross) was found. Corrections associated with the imperfection of the structure — rounded corners of the cross — were determined. The contribution to the Hall response of the skyrmion caused by the anomalous Hall effect was calculated.

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About the authors

M. V. Stepushkin

Fryazino Branch Kotelnikov Institute of Radio Engineering and Electronic RAS

Author for correspondence.
Email: cokpoweheu@yandex.ru
Russian Federation, Vvedenskii Square, 1, Fryazino, Moscow oblast, 141190

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Supplementary files

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2. Fig. 1. Schematic representation of the modelled cross: the current direction is from the left contact to the right contact, voltage is removed from the upper and lower contacts; the remagnetised domain with coordinates (i, j) is indicated by a circle with anomalous Hall conductivity σAH.

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3. Fig. 2. Dependence of the Hall response on the location of the point domain (a) and its profile along the middle of the current contacts (b); the edges of the potential contacts are marked with vertical dashed lines; the grid size is 156 × 156 cells, the channel width is 39 cells, the non-magnetic region with a width of three cells is marked with a dashed line. The dimensions are given in relative units normalised by the channel width.

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4. Fig. 3. Values of the response function at the centre of the cross for different radii of rounding and width of non-magnetic regions (a) and the dependence of the response at the centre of the cross containing no non-magnetic regions on the radius of corner rounding (b); grid size 260 × 260 cells, channel width 65 cells.

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5. Fig. 4. Profiles of the Hall response along the middle of the current contacts for different ratios of the rounding radius to the channel width: 0 (1), 23 (2) and 51% (3).

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