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The upper critical field Hc2(T) of sintered pellets of the recently discovered MgB_2 superconductor was investigated by transport, ac susceptibility and dc magnetization measurements in magnetic fields up to 16 T covering a temperature…

Superconductivity · Physics 2009-11-07 G. Fuchs , K. -H. Müller , A. Handstein , K. Nenkov , V. N. Narozhnyi , D. Eckert , M. Wolf , L. Schultz

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

We discuss the critical behavior of several three-dimensional magnetic systems, such as pure and randomly dilute (anti)ferromagnets and stacked triangular antiferromagnets. We also discuss the nature of the multicritical points that arise…

Statistical Mechanics · Physics 2007-05-23 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

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 and lower critical field, and the critical field ratio of an anisotropic two-band magnetic superconductors in Ginzburg-Landau(GL) scenery is derived analytically. The temperature-dependent on the upper critical field is…

Superconductivity · Physics 2015-05-28 A. Changjan , P. Udomsamuthirun

We present temperature dependences of the upper critical magnetic field and the Ginzburg-Landau parameter for a ternary boride superconductor Li_2Pd_3B obtained from magnetization measurements. A specially developed scaling approach was…

Superconductivity · Physics 2015-06-25 I. L. Landau , R. Khasanov , K. Togano , H. Keller

I present a Ginzburg-Landau theory for hexagonal oscillations of the upper critical field of UPt$_3$ near $T_c$. The model is based on a $2D$ representation for the superconducting order parameter, $\vec{\eta}=(\eta_1,\eta_2)$, coupled to…

Condensed Matter · Physics 2016-08-31 J. A. Sauls

The high field magnetization and magneto transport measurements are carried out to determine the critical superconducting parameters of MgB2-xCx system. The synthesized samples are pure phase and the lattice parameters evaluation is carried…

Superconductivity · Physics 2015-05-13 Monika Mudgel , L. S. Sharath Chandra , V. Ganesan , G. L. Bhalla , H. Kishan , V. P. S. Awana

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

The $\mathcal{N}=2$ Landau--Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional…

High Energy Physics - Lattice · Physics 2019-10-17 Okuto Morikawa

Temperature dependence of the lower critical field Hc1 (T) for the superconducting magnesium diboride, MgB2, is studied in the vicinity of Tc by using a two-band Ginzburg-Landau (G-L) theory. Theoretically calculated Hc1 (T) near Tc…

Superconductivity · Physics 2007-05-23 Ý. N. Askerzade , A. Gencer , N. Güçlü , A. Kýlýç

We investigate the upper critical field in a dirty two-band superconductor within quasiclassical Usadel equations. The regime of very high anisotropy in the quasi-2D band, relevant for MgB$_{2}$, is considered. We show that strong…

Superconductivity · Physics 2009-11-10 A. A. Golubov , A. E. Koshelev

Working with a particular modelization of Ginzburg-Landau phenomenological theory (see \cite{dutourII}, \cite{dutour} and Section \ref{change-var}), we first recall the form of the phase diagram of this modelization as it usually drawn in…

Mathematical Physics · Physics 2009-09-29 Mathieu Dutour

We study the problem of the upper critical field ($H_{c2}$) for tight-binding electrons in a two-dimensional lattice. The external magnetic field is introduced into the model Hamiltonian both via the Peierls substitution and the Zeeman…

Superconductivity · Physics 2009-10-31 Maciej M. Maska , Marcin Mierzejewski

The critical behavior of the Ginzburg-Landau model is described in a manifestly gauge-invariant manner. The gauge-invariant correlation-function exponent is computed to first order in the $4-d$ and $1/n$-expansion, and found to agree with…

Condensed Matter · Physics 2009-11-07 H. Kleinert , Adriaan M. J. Schakel

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

The microscopic superconductivity theory in MgB2 systems in the magnetic fields directed parallel and perpendicular to the plane (ab) is built. The two energy bands of different dimensions overlapping on the Fermi surface (two-dimensional…

Superconductivity · Physics 2008-11-07 M. E. Palistrant , I. D. Cebotari , V. A. Ursu

We studied a method of measuring upper critical field (H$_{c2}$) of a superconductor based on the width of $\Delta$H = $\Delta$B region, which appears in the superconductor that volume defects are many and dominant. Here we present the…

Applied Physics · Physics 2019-05-22 H. B. Lee , G. C. Kim , B. J. Kim , Y. C. Kim

We study the relation between the Bogoliubov-de Gennes equation and the Ginzburg-Landau equation for a BCS model without external fields. While previous rigorous derivations of Ginzburg-Landau theory from BCS theory have focused on energies…

Analysis of PDEs · Mathematics 2026-05-26 Rupert L. Frank , Christian Hainzl , Dong Hao Ou Yang

In-plane resistivity measurements as a function of temperature, magnetic field and its orientation with respect to the crystallographic $ab-$plane were used to study the upper critical field, $H_{c2}$, of two overdoped compositions of the…

Superconductivity · Physics 2013-08-22 J. Murphy , M. A. Tanatar , D. Graf , J. S. Brooks , S. L. Bud'ko , P. C. Canfield , V. G. Kogan , R. Prozorov