# Surface effects in superconductors with corners

@article{Correggi2020SurfaceEI, title={Surface effects in superconductors with corners}, author={Michele Correggi}, journal={Bollettino dell'Unione Matematica Italiana}, year={2020}, volume={14}, pages={51-67} }

We review some recent results on the phenomenon of surface superconductivity in the framework of Ginzburg–Landau theory for extreme type-II materials. In particular, we focus on the response of the superconductor to a strong longitudinal magnetic field in the regime where superconductivity survives only along the boundary of the wire. We derive the energy and density asymptotics for samples with smooth cross section, up to curvature-dependent terms. Furthermore, we discuss the corrections in…

## 4 Citations

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Type-II superconductivity is known to persist close to the sample surface in presence of a strong magnetic field. As a consequence, the ground state energy in the Ginzburg–Landau theory is…

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We study a dilute gas of interacting fermions at temperature T = 0 and chemical potential µ ∈ R . The particles are trapped by an external potential, and they interact via a microscopic attractive…

### Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap

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We study a dilute gas of interacting fermions at temperature T = 0 and chemical potential µ ∈ R . The particles are trapped by an external potential, and they interact via a microscopic attractive…

### Effects of corners in surface superconductivity

- PhysicsCalculus of Variations and Partial Differential Equations
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We study the Ginzburg–Landau functional describing an extreme type-II superconductor wire with cross section with finitely many corners at the boundary. We derive the ground state energy asymptotics…

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Abstract
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We study the Ginzburg–Landau functional describing an extreme type-II superconductor wire with cross section with finitely many corners at the boundary. We derive the ground state energy asymptotics…

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