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We investigate the dependence of the order parameter profile, local and total susceptibilities on both the temperature and external magnetic field within the mean-filed Ginzburg-Landau Ising type model. We study the case of a film geometry…

Statistical Mechanics · Physics 2015-08-28 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

We present an analysis of the magnetic response of a mesoscopic superconductor, i.e. a system of sizes comparable to the coherence length and to the London penetration depth. Our approach is based on special properties of the two…

Superconductivity · Physics 2009-10-31 E. Akkermans , D. M. Gangardt , K. Mallick

We study the minimizers of the Ginzburg-Landau energy functional with a constant magnetic field in a three dimensional bounded domain. The functional depends on two positive parameters, the Ginzburg-Landau parameter and the intensity of the…

Analysis of PDEs · Mathematics 2015-11-30 Marwa Nasrallah , Ayman Kachmar

Within the framework of Ginzburg-Landau theory we study the rich variety of interfacial phase transitions in twinning-plane superconductors. We show that the phase behaviour strongly depends on the transparency of the twinning plane for…

Superconductivity · Physics 2009-11-07 F. Clarysse , J. O. Indekeu

A projected order parameter is used to calculate, not only local minima of the Ginzburg-Landau energy functional, but also saddle points or energy barriers responsible for the metastabilities observed in superconducting mesoscopic disks…

Superconductivity · Physics 2009-10-31 J. J. Palacios

We examine the effect of classical magnetic fluctuations on the phase diagram of paramagneticallylimited two-dimensional superconductors under a Zeeman magnetic field. We derive the free energy expansion in powers of the superconducting…

Superconductivity · Physics 2015-03-13 Robert Beaird , Anton B. Vorontsov , Ilya Vekhter

The fluctuating diamagnetic magnetization Mfl at constant field H as a function of temperature and the isothermal magnetization Mfl vs H are measured in MgB2, above the superconducting transition temperature. The expressions for Mfl in…

Superconductivity · Physics 2009-11-07 A. Lascialfari , T. Mishonov , A. Rigamonti , P. Tedesco , A. Varlamov

The superconducting state of a thin superconducting disk with a hole is studied within the non-linear Ginzburg-Landau theory in which the demagnetization effect is accurately taken into account. We find that the flux through the hole is not…

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

We address the macroscopic theory of superconductivity - the Ginzburg-Landau theory. This theory %Macroscopic theory of superconductivity is based on the celebrated Ginzburg - Landau equations. First developed to explain and predict…

Mathematical Physics · Physics 2013-08-27 Israel Michael Sigal

The magnetic response of a proximity-coupled superconductor-normal metal sandwich is studied within the framework of the quasiclassical theory. The magnetization is evaluated for finite values of the applied magnetic field (linear and…

Condensed Matter · Physics 2009-10-28 W. Belzig , C. Bruder , Gerd Schön

Using the non-linear Ginzburg-Landau (GL) theory, we study the magnetic response of different shaped samples in the field-cooled regime (FC). For high external magnetic fluxes, the conventional diamagnetic response under cooling down can be…

Superconductivity · Physics 2007-05-23 V. A. Schweigert , F. M. Peeters

It is argued that the phase transition in low-T_c clean itinerant ferromagnets is generically of first order, due to correlation effects that lead to a nonanalytic term in the free energy. A tricritical point separates the line of first…

Statistical Mechanics · Physics 2017-08-23 T. R. Kirkpatrick , Thomas Vojta , D. Belitz , R. Narayanan

Consistent perturbation theory for thermodynamical quantities in strongly type II superconductors in magnetic field at low temperatures is developed. It is complementary to the existing expansion valid at high temperatures. Magnetization…

Condensed Matter · Physics 2009-10-31 H. C. Kao , B. Rosenstein , J. C. Lee

The coexistence of the superconductivity and magnetism in the Ho$_{1-x}$Dy$_x$Ni$_2$B$_2$C is studied by using Ginzburg-Landau theory. This alloy shows the coexistence and complex interplay of superconducting and magnetic order. We propose…

Superconductivity · Physics 2009-10-31 Hyeonjin Doh , Manfred Sigrist , B. K. Cho , Sung-Ik Lee

The classical criterion for classification of superconductors as type-I or type-II based on the isotropic Ginzburg-Landau theory is generalized to arbitrary temperatures for materials with anisotropic Fermi surfaces and order parameters. We…

Superconductivity · Physics 2014-11-10 V. G. Kogan , R. Prozorov

We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models the state of an heterogeneous type II supercon-ductor…

Analysis of PDEs · Mathematics 2019-04-05 Mickaël Dos Santos

We apply the Ginzburg-Landau theory to the colour superconducting phase of a lump of dense quark matter. We calculate the surface energy of a domain wall separating the normal phase from the super phase with the bulk equilibrium maintained…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ioannis Giannakis , Hai-cang Ren

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 up to $ o(1) $ errors in the surface…

Mathematical Physics · Physics 2021-11-04 Michele Correggi , Emanuela L. Giacomelli

It is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance, the presence of corners induces geometric terms described…

Mathematical Physics · Physics 2025-04-04 Michele Correggi , Emanuela L. Giacomelli , Ayman Kachmar

Persistent scaling behavior of magnetization in layered high $T_c$ superconductors with short--range columnar defects is explained within the Ginzburg Landau theory. In the weak field region, the scaling function differs from that of a…

Superconductivity · Physics 2007-05-23 Gregory M. Braverman , Sergey A. Gredeskul , Yshai Avishai