Aug 2 – 6, 2021
Europe/Brussels timezone

Magnetic Knots In Superconductors With Broken Inversion Symmetry

Aug 5, 2021, 10:50 AM


Parallel contribution Focus Subsection: Emergent Gauge Fields and Chiral Fermions Parallels Focus Subsection


Anatolii Korneev (Far Eastern Federal University)


The broken inversion symmetry of underlying crystals of non-centrosymmetric superconductors gives rise to new nontrivial phenomena, such as magnetoelectric effects and helical phases. We study non-centrosymmetric superconductor using the Ginzburg-Landau effective model supplemented with a parity-odd Lifshitz term. We show that these parity-odd superconductors possess knotted solitons in a form of a self-linked magnetic field, which resemble Chandrasekhar-Kendall states in astrophysical plasma. We present explicit analytical solutions for material with the crystallographic $O$ - point group. We find that the magnetic field in these solutions is not quantized. The spatial distribution of the supercurrent is demonstrated.

Primary authors

Anatolii Korneev (Far Eastern Federal University) Dr Maxim Chernodub (Institut Denis Poisson, Tours, France) Alexander Molochkov (Far Eastern Federal University)

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