SKM 2021 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 5: Poster Session: Superconductivity
TT 5.6: Poster
Montag, 27. September 2021, 13:30–16:00, P
Relativistic and non-relativistic Ginzburg-Landau models in two-dimensional curved films — •Igor Bogush1,2 and Vladimir M. Fomin2,3 — 1Theoretical Physics, Faculty of Physics, Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia — 2Moldova State University, Chisinau MD-2009, Republic of Moldova — 3Institute for Integrative Nanosciences, Leibniz IFW Dresden, D-01069 Dresden, Germany
Superconductor nanoarchitectures, including self-rolled films, are highly promising for advancements in nano- and meso-scale devices. Superconductivity strongly depends on the external magnetic field applied to thin films. Managing the profile of the magnetic field is a challenging technical problem. To get around this problem, one can give a complex shape to the film such that the normal component of the magnetic field has the desired profile. We solve relativistic and non-relativistic time-dependent Ginzburg-Landau models for two-dimensional curved manifolds by applying the tool of General Relativity, differential geometry. The arbitrary geometry opens the way to manipulate the effective normal component of the magnetic field to control the regions with normal or superconducting state and, as a consequence, to manage the superconducting properties of films, transitions between vortex-chain and phase-slip regimes. We describe numerically nontrivial vortex and phase-slip dynamics and topological transitions in cylindric films and membranes with a deep well.
The present work has been supported by the DFG project #FO 956/6-1 and by the COST Action CA16218 (NANOCOHYBRI).