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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

We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the magnetic field is comparable with the second critical field and that the Ginzburg-Landau parameter is large, we…

Analysis of PDEs · Mathematics 2011-09-08 S. Fournais , A. Kachmar

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 formulate a spectral problem related to the onset of superconductivity for a generalized Ginzburg-Landau model, where the order parameter and the magnetic potential are defined in the whole space. This model is devoted to the `proximity…

Mathematical Physics · Physics 2007-06-14 Ayman Kachmar

Resistivity and Hall effect measurements have been carried out on a micro-fabricated bridge of Bi2201 single crystal at low temperatures down to 0.4 K under high magnetic fields. When superconductivity is crashed by a high magnetic field,…

Superconductivity · Physics 2023-02-23 Qihao Zang , Zhengyan Zhu , Zuyu Xu , Shichao Qi , Haoran Ji , Yiwen Li , Jian Wang , Huiqian Luo , Hua-Bing Wang , Hai-Hu Wen

The QCD phase diagram in the temperature versus quark chemical potential plane is studied in the presence of a magnetic field, using the linear sigma model coupled to quarks. It is shown that the decrease of the couplings with increasing…

High Energy Physics - Phenomenology · Physics 2015-12-02 Alejandro Ayala , C. A. Dominguez , L. A. Hernandez , M. Loewe , R. Zamora

We consider the Ginzburg-Landau functional with a variable applied magnetic field in a bounded and smooth two dimensional domain. We determine an accurate asymptotic formula for the minimizing energy when the Ginzburg-Landau parameter and…

Analysis of PDEs · Mathematics 2013-12-13 Kamel Attar

We establish exponential bounds on the Ginzburg-Landau order parameter away from the curve where the applied magnetic field vanishes. In the units used in this paper, the estimates are valid when the parameter measuring the strength of the…

Analysis of PDEs · Mathematics 2016-04-11 Bernard Helffer , Ayman Kachmar

We report on magnetization measurements performed on a single crystal of Bi{2+x}Sr{2-x}CuO{6+\delta} with Tc\sim7 K for H||c-axis. The isofield M(T) curves show a large reversible region, with a pronounced rounding effect as M approaches…

Using recent results by the authors on the spectral asymptotics of the Neumann Laplacian with magnetic field, we give precise estimates on the critical field, $H_{C_3}$, describing the appearance of superconductivity in superconductors of…

Mathematical Physics · Physics 2009-11-11 S. Fournais , B. Helffer

We study the infimum of the Ginzburg-Landau functional in the case of a vanishing external magnetic field in a two dimensional simply connected domain. We obtain an energy asymptotics which is valid when the Ginzburg-Landau parameter is…

Analysis of PDEs · Mathematics 2015-03-17 Bernard Helffer , Ayman Kachmar

We present a detailed analysis of the phase diagram of antiferromagnets with competing exchange-driven and field-induced order parameters. By using the quasi-1D antiferromagnet BaCu_2Si_2O_7 as a test case, we demonstrate that a model based…

Strongly Correlated Electrons · Physics 2013-03-14 V. N. Glazkov , F. Casola , H. -R. Ott , T. Shiroka

We consider the two-dimensional Ginzburg-Landau functional with constant applied magnetic field. For applied magnetic fields close to the second critical field $H_{C_2}$ and large Ginzburg-Landau parameter, we provide leading order…

Mathematical Physics · Physics 2017-08-23 S. Fournais , A. Kachmar

Magnetic properties of layered high temperature superconductors with a weak interlayer coupling in the region of the critical fluctuations are investigated in the framework of the Ginzburg--Landau approach. The sample magnetization is…

Superconductivity · Physics 2007-05-23 Gregory M. Braverman

We have recently proposed a theoretical model for superconductors endowed with two distinct superconducting phases, described by two scalar order parameters which condensate at different critical temperatures. On analyzing the magnetic…

Superconductivity · Physics 2009-11-13 E. Di Grezia , S. Esposito , G. Salesi

Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting domain, when superconductivity is lost in the whole domain…

Mathematical Physics · Physics 2020-10-28 Wafaa Assaad

The upper critical field, the lower critical field and the critical magnetic field ratio of anisotropic magnetic superconductors are calculated by Ginzburg-Landau theory analytically. The effect of the Ginzburg-Landau parameter(\kappa_0),…

Superconductivity · Physics 2015-05-20 A. Changjan , P. Udomsamuthirun

We investigate the effects of Lifshitz dynamical critical exponent z on a family of minimal D=4+1 holographic superconducting models, with a particular focus on magnetic phenomena. We see that it is possible to have a consistent…

High Energy Physics - Theory · Physics 2015-12-09 Aldo Dector

We study the Ginzburg-Landau energy of a superconductor with a variable magnetic field and a pinning term in a bounded smooth two dimensional domain $\Omega$. Supposing that the Ginzburg-Landau parameter and the intensity of the magnetic…

Analysis of PDEs · Mathematics 2015-03-24 Kamel Attar

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic
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