Collection of scientific works Nanosystems, nanomaterials, nanotechnologies
Year 2026 Volume 24, Issue 2
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F. M. BUKHANKO

O. O. Galkin Donetsk Institute for Physics and Engineering, N.A.S. Ukraine, 46, Nauky Ave., UA-03028 Kyiv, Ukraine

Evolution of Bounded Majorana Pairs in Superconducting Net of Quantum Nanowires in La0.15Sm0.85MnO3+δ and SmMnO3+δ with Increase of External Magnetic Field; Relativistic Quantum Hall Effect

343–360 (2026)

PACS numbers: 71.10.Pm, 72.80.Vp, 74.20.Mn, 75.30.Et, 75.30.Kz, 75.47.Gk, 75.47.Lx

Received 24 October, 2025

The temperature dependence of the ‘supermagnetization’ М(Т) in the first Landau zone of La0.15Sm0.85MnO3+δ and in the magnetic field of 100 Oe has the shape of a Dirac’s cone-like truncated hill with a flat top near Т ≅ 4.6 K. In external magnetic field with Н = 350 Oe, a distinct magnetic response appears within the first Landau band with the shape of two spiky peaks near ТMZM ≅ 4.6 K. These spiky features in the magnetic response arise from excited states containing either both only static magnetic fluxes and no mobile fermions, or from excited states, in which fermions are closely coupled to fluxes. An alternate permutation of the spiky double peaks and Dirac cones features of the magnetization M(T) may be explained by the availability in this material of two hidden states of the chiral spin liquid. A further increase in the external magnetic-field strength to the value Н = 1 kOe leads to the formation in the Landau zone with n = 1 of intensive truncated hill feature with a flat top near the average temperature Т ≅ 4.6 K. In external magnetic field with Н = 3.5 kOe, only the step-like quantum oscillations of temperature dependences of ‘supermagnetization’ of incompressible quantum spinon liquid are found. Similar alternate permutations of M(T) features are found in SmMnO3+δ, but in a different sequence. It is assumed that Majorana bound pairs are captured at the ends of quantum nanowires and form coherent ground states, which are very stable as to external influences. They are interesting tools for the construction of quantum computers due to their exotic non-Abelian exchange statistics.

KEY WORDS: Majorana zero modes, massless 2D Dirac’s fermions, Dirac’s cone-like truncated hill of М(Т), two spiky peaks of М(Т), step-like quantum oscillations of М(Т), Landau quantization of massless Dirac’s fermions, net of quantum nanowires

DOI: https://doi.org/10.15407/nnn.24.02.0343

Citation:
F. M. Bukhanko, Evolution of Bounded Majorana Pairs in Superconducting Net of Quantum Nanowires in La0.15Sm0.85MnO3+δ and SmMnO3+δ with Increase of External Magnetic Field; Relativistic Quantum Hall Effect, Nanosistemi, Nanomateriali, Nanotehnologii, 24, No. 2: 343–360 (2026); https://doi.org/10.15407/nnn.24.02.0343
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