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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 Landau expansion for the free energy of the superconducting mixed state near the upper critical field in powers of the square modulus of the order parameter averaged over Abrikosov lattice is derived. The analytical calculations has…

Superconductivity · Physics 2016-08-31 V. P. Mineev

We use the Ginzburg-Landau theory near the transition temperature in order to examine the behavior of an inhomogeneous superconductor in the presence of a magnetic field. We find that a transition from type I to type II superconductivity…

Superconductivity · Physics 2009-11-11 Ioannis Giannakis , Defu Hou , Mei Huang , Hai-cang Ren

This study explores transitions between states with different winding number in two-band superconducting rings. From the time-dependent Ginzburg-Landau (TDGL) equations for two-component superconductors, we apply linear instability theory…

Superconductivity · Physics 2024-08-27 Leonardo R. Cadorim , Edson Sardella , Daniel Domínguez , Jorge Berger

A novel state is predicted for a S/F heterostructure. It is shown that the equilibrium F/S bilayer can be in a bistable state: one state is ground and the other is metastable. One of these states is always normal and the other is…

Superconductivity · Physics 2015-06-19 I. V. Bobkova , A. M. Bobkov

The new approach to the microscopic description of the phase transitions starting from the only first principles was developed on an example of the transition normal metal-superconductor. This means mathematically, that the free energy is…

Statistical Mechanics · Physics 2011-09-19 K. V. Grigorishin , B. I. Lev

The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier [Lannert et al. Phys.…

Superconductivity · Physics 2007-05-23 M. Dudka , R. Folk , G. Moser

The transitions between the different vortex states of thin mesoscopic superconducting disks and rings are studied using the non-linear Ginzburg-Landau functional. They are saddle points of the free energy representing the energy barrier…

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

We study the finite-size and boundary effects on a time-reversal-symmetry breaking p-wave superconducting state in a mesoscopic disc geometry using Ginzburg-Landau theory. We show that, for a large parameter range, the system exhibits…

Superconductivity · Physics 2012-10-22 Bor-Luen Huang , S. -K. Yip

We consider a magnet with uniaxial anisotropy in an external magnetic field along the anisotropy direction, but with a field magnitude smaller than the coercive field. There are three representative magnetization configurations…

Statistical Mechanics · Physics 2009-11-07 G. Brown , M. A. Novotny , P. A. Rikvold

In this Letter, the dynamic phase transitions of the time-dependent Ginzburg-Landau equations are analyzed using a newly developed dynamic transition theory and a new classification scheme of dynamics phase transitions. First, we…

Superconductivity · Physics 2007-10-30 Tian Ma , Shouhong Wang

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 study the possibility to apply phenomenological approach to the description of magnetic transitions in UGe2 with the help of Landau free energy expanded to 8-th order in magnetisation. The analysis shows that for certain values of…

Superconductivity · Physics 2020-11-16 Diana V. Shopova

The combination of spin transitions and magnetic ordering provides an interesting structure of phase transitions in Prussian blue analogues (PBAs). To understand the structure of stable and metastable states of Co-Fe PBA, it is necessary to…

Materials Science · Physics 2009-11-11 Y. Konishi , H. Tokoro , M. Nishino , S. Miyashita

We study the Ginzburg-Landau equations in the presence of large electric currents, that are smaller than the critical current where the normal state losses its stability. For steady-state solutions in the large $\kappa$ limit, we prove that…

Mathematical Physics · Physics 2016-09-21 Yaniv Almog , Bernard Helffer , Xing-Bin Pan

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

We present an improved analysis of the phase transitions in rare earth superconductor using Ginzburg-Landau theory. Our work is based on the systematic study of critical field and superconducting order parameter in the presence of localized…

Materials Science · Physics 2021-01-19 Preeti Suman Dash , Salila Das , Prabir K. Mukherjee

This is an analytic study of the problem of transitions between normal and superconducting phases for a sample which encloses a magnetic flux. A preliminary study of this problem, based on numerical minimization of the free energy for a…

supr-con · Physics 2008-02-03 Jorge Berger , Jacob Rubinstein

The Landau-Lifshitz equation for the magnetization dynamics of a single-domain magnetic system is solved using the methods of self-organization. The description takes into account the torque due to spin transfer. The potential energy of the…

Materials Science · Physics 2007-05-23 P. M. Gorley , P. P. Horley , V. K. Dugaev , J. Barnas , W. Dobrowolski

A simple variational model is proposed to analyze the superconducting state in long cylindrical type-II superconductor placed in the external magnetic field. In the framework of this model, it is possible to solve the Ginzburg-Landau…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval