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Basing on self-consistent solution of non-linear GL-equations, the phase boundary is found, which divides the regions of I- and II-order phase transitions of a superconducting cylinder in magnetic field to normal state. This boundary is a…

Superconductivity · Physics 2007-05-23 G. F. Zharkov

Based on the self-consistent solution of a nonlinear system of one-dimensional GL-equations, the onset and destruction of superconductivity, the phase transitions and hysteresis phenomena are discussed for a cylinder (radius R) in an axial…

Superconductivity · Physics 2007-05-23 G. F. Zharkov

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex…

Superconductivity · Physics 2007-05-23 G. F. Zharkov , V. G. Zharkov , A. Yu. Zvetkov

I study phase transitions occuring in noncollinear magnets by means of a self-consistent screening approximation. The Ginzburg-Landau theory involves two N-component vector fields with two independent quartic couplings allowing a…

Condensed Matter · Physics 2010-03-25 Th. Jolicoeur

The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature of type-II superconductors is the occurrence of vortices, which appear above a certain value of the applied magnetic field called the first…

Analysis of PDEs · Mathematics 2019-02-05 Carlos Román

Using the non-linear Ginzburg-Landau (GL) eqs. type I superconducting disks of finite radius ($R$) and thickness ($d$) are studied in a perpendicular magnetic field. Depending on $R$ and $d$, first or second order phase transitions are…

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

The electronic structure of the superconducting surface sheath in a type-II superconductor in magnetic fields $H_{c2}<H<H_{c3}$ is calculated self-consistently using the Bogoliubov-de Gennes equations. We find that the pair potential…

Condensed Matter · Physics 2009-10-22 Robert J. Troy , Alan T. Dorsey

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

Solutions of Ginzburg-Landau eqns. coupled with three dimensional Maxwell eqns. reveal intriguing magnetic response of small superconducting particles, qualitatively different from the two dimensional approximation but in agreement with…

Superconductivity · Physics 2008-02-03 P. Singha Deo , V. A. Schweigert , F. M. Peeters , A. K. Geim

We solve the Ginzburg-Landau equation (GLE) for the mesoscopic thin film of the square shape in the magnetic field. In the limit of Ginzburg-Landau parameter $\kappa \to \infty$ we find a series of first and second order phase transitions…

Superconductivity · Physics 2009-11-07 J. Bonca , V. V. Kabanov

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

A variational model is proposed to describe the magnetic properties of type-II superconductors in the entire field range between $H_{c1}$ and $H_{c2}$ for any values of the Ginzburg-Landau parameter $\kappa>1/\sqrt{2}$. The hexagonal unit…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , K. I. Kugel , A. L. Rakhmanov , E. H. Brandt

Traditionally, superconductors are categorized as type-I or type-II. Type-I superconductors support only Meissner and normal states, while type-II superconductors form magnetic vortices in sufficiently strong applied magnetic fields.…

Superconductivity · Physics 2016-08-31 Egor Babaev , J. Martin Speight

A conventional superconductor is described by a single complex order parameter field which has two fundamental length scales, the magnetic field penetration depth \lambda and the coherence length \xi. Their ratio \kappa determines the…

Superconductivity · Physics 2012-08-31 E. Babaev , J. Carlstrom , J. Garaud , M. Silaev , J. M. Speight

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

Analysis of PDEs · Mathematics 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

We generalize a class of Heisenberg antiferromagnets in one, two and three dimensions, which have been shown to exhibit magnetization plateaus for spin-1/2. In a certain parameter range of the general model, which is formally defined in D…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Naveen Surendran

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

Magneto-optical imaging of thick stress-free lead samples reveals two distinct topologies of the intermediate state. Flux tubes are formed upon magnetic field penetration (closed topology) and laminar patterns appear upon flux exit (open…

Superconductivity · Physics 2007-05-23 Ruslan Prozorov , Russell W. Giannetta , Anatolii A. Polyanskii , Garry K. Perkins

Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary region. The profile of the superconducting order parameter in…

Spectral Theory · Mathematics 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie
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