Issues $\rightarrow$ Volume 27, Issue 1 (2026)

Bloch Point in the Domain Wall of a Cylindrical Ferromagnetic Nanowire as a Harmonic Oscillator: Classical and Quantum Properties

SHEVCHENKO A.B.$^{1,2}$, MINITSKYI A.V.$^{3}$, OLIINYK O.V.$^{1}$, and BARABASH M.Yu.$^{2,3}$

$^1$G.V. Kurdyumov Institute for Metal Physics of the N.A.S. of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^2$Technical Centre of the N.A.S. of Ukraine, 13 Pokrovska Str., UA-04070 Kyiv, Ukraine
$^3$National Technical University of Ukraine ‘Igor Sikorsky Kyiv Polytechnic Institute’, 37, Beresteiskyi Ave., UA-03056 Kyiv, Ukraine

Received / final version 17.07.2025 / 19.01.2026 Download PDF logo PDF

Abstract
The oscillatory properties (both classical and quantum ones) of the Bloch point (BP) in the domain wall of a cylindrical ferromagnetic nanowire are reviewed. Based on the presented results, it is concluded that BP can be considered as a harmonic oscillator. In this case, the quantum oscillations of BP are a type of magnetic macroscopic quantum effect [1] that occurs in nickel and iron nanowires at liquid-helium temperatures. It is shown the transformation of the BP wave packet into beat that ensures the transfer of the quantum-oscillator energy. The presented results are of particular interest in the context of the development of up-to-date nanotechnologies based on the physical properties of cylindrical ferromagnetic nanowires, the magnetic structure of which is characterised by the domain wall with BP.

Keywords: cylindrical ferromagnetic nanowire, domain wall, Bloch point, harmonic oscillations, wave packet, beat.

DOI: https://doi.org/10.15407/ufm.27.01.025

Citation: A.B. Shevchenko, A.V. Minitskyi, O.V. Oliinyk, and M.Yu. Barabash, Bloch Point in the Domain Wall of a Cylindrical Ferromagnetic Nanowire as a Harmonic Oscillator: Classical and Quantum Properties, Progress in Physics of Metals, 27, No. 1: 25–49 (2026)

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