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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…

谱理论 · 数学 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

The properties of a conventional type-II superconductor near the upper critical field are usually calculated using a perturbative expansion in the strength of the order parameter. Here we show that perturbation theory breaks down near the…

凝聚态物理 · 物理学 2009-10-28 Safi R. Bahcall

We study the phase transition to the superconducting state taking into account the fluctuations of the order parameter and of the vector magnetic field and discuss the question of the order of transition occuring in this model. We use the…

凝聚态物理 · 物理学 2007-05-23 R. Folk , Yu. Holovatch

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…

数学物理 · 物理学 2017-08-23 S. Fournais , A. Kachmar

In the asymptotic limit of a large Ginzburg-Landau parameter, we give a new asymptotic formula for the $L^2$-norm of the Ginzburg-Landau order parameter. The formula is valid in the bulk regime where the intensity of the applied magnetic…

偏微分方程分析 · 数学 2018-11-13 Bernard Helffer , Ayman Kachmar

The universal behaviour of superconductors near the phase transition is described by the three-dimensional field theory of scalar quantum electrodynamics. We approximately solve the model with the help of non-perturbative flow equations. A…

高能物理 - 唯象学 · 物理学 2009-10-28 B. Bergerhoff , F. Freire , D. Litim , S. Lola , C. Wetterich

In Ginzburg-Landau Theory of superconductivity, the density and location of the superconducting electrons are measured by a complex-valued wave function, the order parameter. In this paper, when the intensity of the applied magnetic field…

偏微分方程分析 · 数学 2016-10-31 Ayman Kachmar

We present a microscopic study of the behavior of the order parameters near boundaries of a two-band superconducting material, described by the standard tight-binding Bardeen-Cooper-Schrieffer model. We find superconducting surface states.…

超导电性 · 物理学 2021-04-21 Andrea Benfenati , Albert Samoilenka , Egor Babaev

A theory of critical fluctuations in extreme type-II superconductors subjected to a finite but weak external magnetic field is presented. It is shown that the standard Ginzburg-Landau representation of this problem can be recast, with help…

凝聚态物理 · 物理学 2009-10-31 Zlatko Tesanovic

We develop a theory of conductivity of type-II superconductors in the flux flow regime taking into account random spatial fluctuations of the system parameters, such as the gap magnitude $\Delta$(r) and the diffusion coefficient D(r). We…

超导电性 · 物理学 2020-12-30 M. Smith , A. V. Andreev , M. V. Feigel'man , B. Z. Spivak

On the phase diagram of a system undergoing a continuous phase transition of the second order, three lines, hyper-surfaces, convergent into the critical point feature prominently: the ordered and disordered phases in the thermodynamic…

统计力学 · 物理学 2013-07-16 A. Kashuba

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…

超导电性 · 物理学 2017-12-06 Michele Correggi , Bharathiganesh Devanarayanan , Nicolas Rougerie

The recently proposed theoretical model of superconductors endowed with two distinct superconducting phases and critical temperatures is further analyzed by introducing two distinct order parameters, described by two scalar fields which…

超导电性 · 物理学 2009-11-13 E. Di Grezia , S. Esposito , G. Salesi

We present a detailed numerical calculation of the upper critical field $H_{c2}(T)$ for a bulk extreme type-II superconductor. Particular emphasis is placed on the high-field, low-temperature regime of the HT-phase diagram. In this regime…

超导电性 · 物理学 2009-10-31 Sasha Dukan , Oskar Vafek

We study the 2D Ginzburg-Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this regime the order parameter minimizing the GL energy is concentrated along the…

数学物理 · 物理学 2019-10-01 M. Correggi , N. Rougerie

We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that…

数学物理 · 物理学 2011-10-20 S. Fournais , A. Kachmar , M. Persson

We present magnetic torque, specific heat and thermal expansion measurements combined with a piezo rotary positioner of the bulk transition metal dichalcogenide (TMD) superconductor NbS2 in high magnetic fields applied strictly parallel to…

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…

数学物理 · 物理学 2009-11-11 S. Fournais , B. Helffer

We study the superconducting order parameter fluctuations near the phase transition into the Larkin-Ovchinnikov-Fulde-Ferrell state in the clean limit at zero temperature. In contrast to the usual normal metal-to-uniform superconductor…

超导电性 · 物理学 2009-11-11 K. V. Samokhin , M. S. Mar'enko

Bogomolnyi critical point, originally introduced in string theories, is fundamental to superconductivity. At the critical temperature T_c it marks the sharp border between ideally diamagnetic bulk type-I superconductors and type-II ones…

超导电性 · 物理学 2013-12-10 A. Vagov , A. A. Shanenko , M. V. Milošević , V. M. Axt , V. M. Vinokur , F. M. Peeters
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