# A Virtual Tribute to Quark Confinement and the Hadron Spectrum 2021

Aug 2 – 6, 2021
online
Europe/Brussels timezone

## Magnetic Knots In Superconductors With Broken Inversion Symmetry

Aug 5, 2021, 10:50 AM
20m
online

#### online

Parallel contribution Focus Subsection: Emergent Gauge Fields and Chiral Fermions

### Speaker

Anatolii Korneev (Far Eastern Federal University)

### Description

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)

### Presentation materials

There are no materials yet.