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A metastable homogeneous state exists down to zero temperature in systems of repelling objects. Zero ''fluctuation temperature'' liquid state therefore serves as a (pseudo) ''fixed point'' controlling the properties of vortex liquid below…

Superconductivity · Physics 2009-11-10 Dingping Li , Baruch Rosenstein

We consider the $N$-component Ginzburg-Landau model in the large $N$ limit, the system being embedded in an external constant magnetic field and confined between two parallel planes a distance $L$ apart from one another. On physical…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

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

Using the Ginzburg-Landau theory extended to the next-to-leading order we determine numerically the healing lengths of the two order parameters at the two-gap superconductor/normal metal interface. We demonstrate on several examples that…

Superconductivity · Physics 2011-08-26 L. Komendová , M. V. Milošević , A. A. Shanenko , F. M. Peeters

We study the metastability of the superheated Meissner state in type II superconductors with k >> 1 beyond Ginzburg-Landau theory, which is applicable only in the vicinity of the critical temperature. Within Eilenberger's semiclassical…

Superconductivity · Physics 2008-12-18 G. Catelani , James P. Sethna

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…

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

A systematic treatment of the magnetic fluctuations effect on the properties of the normal-to-superconducting phase transition in a zero external magnetic field is given within the self-consistent approximation and the quasi-macroscopic…

Superconductivity · Physics 2007-05-23 D. V. Shopova , T. P. Todorov

The precise measurements of vortex melting point towards a need to develop a quantitative theoretical description of thermal fluctuations in vortex matter. To tackle the difficult problem of melting, the description of both the solid and…

Superconductivity · Physics 2009-11-10 Dingping Li , Baruch Rosenstein

A Hartree approximation is used to study the interplay of two kinds of scaling which arise in high-temperature superconductors, namely critical-point scaling and that due to the confinement of electron pairs to their lowest Landau level in…

Condensed Matter · Physics 2009-10-22 Ian D Lawrie

An electron-cooling principle based on Landau quantization is proposed for nanoscale conductor systems. Operation relies on energy-selective electron tunneling into a two-dimensional electron gas in quantizing magnetic fields. This quantum…

Mesoscale and Nanoscale Physics · Physics 2007-12-19 F. Giazotto , F. Taddei , M. Governale , R. Fazio , F. Beltram

The Ginzburg-Landau theory is analyzed in the case of small dimension superconductors, a couple of orders of magnitude above the coherence length, where the theory is still valid but quantum fluctuations become significant. In this regime,…

Superconductivity · Physics 2015-04-23 Miguel C. N. Fiolhais , Joseph L. Birman

Symmetry restoration in a theory of a self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field is examined. The effective potential is evaluated nonperturbatively in the context of the…

High Energy Physics - Phenomenology · Physics 2011-11-01 D. C. Duarte , R. L. S. Farias , Rudnei O. Ramos

Magnetization studies have been carried out on superconducting MgB$_2$ (T$_c$=37K) in the temperature range of 2-50K and in magnetic field up to 5 Tesla. From these measurements, values of the lower critical field H$_c1$(0), upper critical…

Superconductivity · Physics 2007-05-23 Amish G. Joshi , C. G. S. Pillai , P. Raj , S. K. Malik

The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis…

Numerical Analysis · Mathematics 2025-10-20 H. G. Kaper , H. Nordborg

An interpretation of the quadratic parameter of the Ginzburg-Landau theory of superconductivity is presented in this paper. The negative term in the potential, which allows the spontaneous symmetry breaking, is interpreted as a direct…

Superconductivity · Physics 2014-07-15 Miguel C. N. Fiolhais , Joseph L. Birman

The general Ginzburg-Landau formulation of a holographic superconductor is developed near the transition temperature in the probe limit for two kinds of conformal dimension. Below the transition temperature, $T<T_c$, the order-parameter…

High Energy Physics - Theory · Physics 2017-03-22 Lei Yin , Defu Hou , Hai-cang Ren

We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where superconductivity survives in the bulk of the material but…

Mathematical Physics · Physics 2025-08-18 M. Correggi , A. Kachmar

The time-dependent Ginzburg-Landau approach is used to investigate nonlinear response of a strongly type-II superconductor. The dissipation takes a form of the flux flow which is quantitatively studied beyond linear response. Thermal…

Superconductivity · Physics 2015-05-18 Bui Duc Tinh , Dingping Li , Baruch Rosenstein

We study the thermodynamics of short-range interacting, two-dimensional bosons constrained to the lowest Landau level. When the temperature is higher than other energy scales of the problem, the partition function reduces to a…

Quantum Gases · Physics 2020-09-02 Bhilahari Jeevanesan , Sergej Moroz

We investigate the effects of material anisotropy on the superheating field of layered superconductors. We provide an intuitive argument both for the existence of a superheating field, and its dependence on anisotropy, for $\kappa = \lambda…

Superconductivity · Physics 2016-10-14 Danilo B. Liarte , Mark K. Transtrum , James P. Sethna