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The superconducting state of an infinitely long superconducting cylinder surrounded by a medium which enhances its superconductivity near the boundary is studied within the nonlinear Ginzburg-Landau theory. This enhancement can be due to…

Superconductivity · Physics 2009-11-07 B. J. Baelus , S. V. Yampolskii , F. M. Peeters , E. Montevecchi , J. O. Indekeu

We have studied quantization and confinement effects in nanostructured superconductors. Three different types of nanostructured samples were investigated: individual structures (line, loop, dot), 1-dimensional (1D) clusters of loops and 2D…

We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a…

Mathematical Physics · Physics 2019-10-01 Michele Correggi , Nicolas Rougerie

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…

Mathematical Physics · Physics 2021-06-30 Michele Correggi

By considering the Ginzburg-Landau model, compactified in one of the spatial dimensions, and using a modified Matsubara formalism, we determine the dependence of the superconducting transition temperature (T_c) of a film as a function of…

Soft Condensed Matter · Physics 2007-05-23 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

We report on flux confinement effects in superconducting submicron line, loop and dot structures. The main idea of our study was to vary the boundary conditions for confinement of the superconducting condensate by taking samples of…

Superconductivity · Physics 2009-10-31 Y. Bruynseraede , V. V. Moshchalkov

We develop a Ginzburg--Landau theory for superconducting thin films under quantum confinement. Starting from the microscopic BCS free energy and the recently developed confinement theory of metallic thin films, explicit analytical…

Superconductivity · Physics 2026-05-13 Giovanni A. Ummarino , Alessio Zaccone

Quantum confinement in a thin-film geometry offers viable routes for tuning the critical properties of superconductors through modification of both density of states and pairing interaction. Low-density systems like doped strontium titanate…

We present an analytically solvable theory of BCS-type superconductivity in good metals which are confined along one of the three spatial directions, such as thin films. Closed-form expressions for the dependence of the superconducting…

Superconductivity · Physics 2023-01-19 Riccardo Travaglino , Alessio Zaccone

Spatial variation in the superconducting order parameter becomes significant when the system is confined at dimensions well below the typical superconducting coherence length. Motivated by recent experimental success in growing…

Superconductivity · Physics 2009-11-10 J. E. Han , Vincent H. Crespi

The nucleation field for surface superconductivity, $H_{c3}$, depends on the geometrical shape of the mesoscopic superconducting sample and is substantially enhanced with decreasing sample size. As an example we studied circular, square,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Schweigert , F. M. Peeters

Nucleation of the pair condensate near surfaces above the upper critical magnetic field and the pair-condensate enhancement/suppression induced by changes in the electron-phonon interaction at interfaces are the most known examples of the…

Superconductivity · Physics 2023-10-18 Yunfei Bai , Libo Zhang , Xiaobing Luo , A. A. Shanenko , Yajiang Chen

We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface superconductivity regime of applied field between the second and…

Superconductivity · Physics 2017-12-06 Michele Correggi , Bharathiganesh Devanarayanan , Nicolas Rougerie

We consider the $N$-component Ginzburg-Landau model in the large $N$ limit, the system being embedded in an external constant magnetic field and confined between two parallel planes a distance $L$ apart from one another. On physical…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

The possibility of surface enhancement of superconductivity is examined experimentally. It is shown that single crystal tin samples with cold-worked surfaces represent a superconductor with a surface-enhanced order parameter (or negative…

Superconductivity · Physics 2009-11-11 V. F. Kozhevnikov , M. J. Van Bael , W. Vinckx , K. Temst , C. Van Haesendonck , J. O. Indekeu

We derive the linearized Ginzburg-Landau (GL) equation for a curved ultra-thin superconducting film in the presence of a magnetic field. By introducing a novel transverse order parameter that varies slowly along the film with the…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Long Du , Qinghua Chen , Minsi Li , Jiahong Gu , Guangzhen Kang , Yong-Long Wang

In the framework of the Ginzburg-Landau equation, the temperature dependence of the upper critical field of small ring-like superconductors is studied. At equilibrium small parts of the phase diagram show paramagnetism for width / radius…

Superconductivity · Physics 2009-11-07 C. Meyers

Recent experimental advances in surface science have made it possible to track the evolution of superconductivity in films as the thickness enters the nanoscale region where it is expected that the substrate plays an important role. Here,…

Superconductivity · Physics 2016-01-15 Aurelio Romero-Bermúdez , Antonio M. García-García

It is commonly believed that time reversal symmetry breaking perturbations such as magnetic field or scattering on magnetic impurities destruct superconductivity and suppress the critical temperature of the superconducting phase transition.…

Superconductivity · Physics 2024-06-10 Zh. Devizorova , A. I. Buzdin

We study the effect of superconducting fluctuations on the upper critical field of a disordered superconducting film at low temperatures. The first order fluctuation correction is found explicitly. In the framework of the perturbative…

Superconductivity · Physics 2009-11-10 Victor Galitski , S. Das Sarma
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