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We derive the extended Ginzburg-Landau (GL) formalism for a clean s-wave two-band superconductor by employing a systematic expansion of the free-energy functional and the corresponding matrix gap equation in powers of the small deviation…

Superconductivity · Physics 2015-06-05 A. V. Vagov , A. A. Shanenko , M. V. Milošević , V. M. Axt , F. M. Peeters

We show that two-band superconductors harbor hidden criticality deep in the superconducting state, stemming from the critical temperature of the weaker band taken as an independent system. For sufficiently small interband coupling $\gamma$…

Superconductivity · Physics 2012-06-19 L. Komendová , Yajiang Chen , A. A. Shanenko , M. V. Milošević , F. M. Peeters

Ginzburg-Landau expansion is derived for superconductors with the gap-function odd over $k-k_{F}$. It is shown that in this odd-gap case Ginzburg-Landau coefficients possess an additional dependence on the pairing coupling constant which…

Condensed Matter · Physics 2007-05-23 E. Z. Kuchinskii , A. I. Posazhennikova , M. V. Sadovskii

High temperature superconductivity in the cuprates remains one of the most widely investigated, constantly surprising, and poorly understood phenomena in physics. Here, we describe briefly a new phenomenological theory inspired by the…

Superconductivity · Physics 2015-06-04 T. V. Ramakrishnan

Recent observation of unusual vortex patterns in MgB_2 single crystals raised speculations about a new type of superconductivity (named "type-1.5"). However, the strict application of the standard two-band Ginzburg-Landau (GL) theory…

Superconductivity · Physics 2016-08-14 A. A. Shanenko , M. V. Milošević , F. M. Peeters , A. V. Vagov

In the usual Ginzburg-Landau theory the critical value of the ratio of two fundamental length scales in the thery $\kappa_c=1/\sqrt{2}$ separates regimes of type-I and type-II superconductivity. The latter regime possess thermodynamically…

Superconductivity · Physics 2015-05-19 Egor Babaev , Johan Carlstrom

A theory of fluctuations in two-band superconductor MgB$_{2}$ is developed. Since the standard Ginzburg-Landau (GL) approach fails in description of its properties, we generalize it basing on the microscopic theory of a two-band…

Superconductivity · Physics 2009-11-10 A. E. Koshelev , A. A. Varlamov , V. M. Vinokur

We propose a toy model of electronic spectrum of two-dimensional system with ``hot-patches'' on the Fermi surface, which leads to essential renormalization of spectral density (pseudogap). Within this model we derive Ginzburg-Landau…

Superconductivity · Physics 2009-10-31 A. I. Posazhennikova , M. V. Sadovskii

We propose a simple model for superconductors endowed with two critical temperatures, corresponding to two second-order phase transitions, in the framework of the Ginzburg-Landau mean-field theory. For very large Cooper pair…

Superconductivity · Physics 2007-05-23 E. Di Grezia , S. Esposito , G. Salesi

In contrast to single-component superconductors, which are described at the level of Ginzburg-Landau theory by a single parameter \kappa and are divided in type-I \kappa<1/\sqrt{2} and type-II \kappa>1/\sqrt{2} classes, two-component…

Superconductivity · Physics 2011-10-17 Johan Carlstrom , Egor Babaev , Martin Speight

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

We consider the behaviour of the fluctuating specific heat and conductivity in the vicinity of the upper critical field line for a two-band superconductor. Multiple-band effects are pronounced when the bands have very different coherence…

Superconductivity · Physics 2015-06-22 A. E. Koshelev , A. A. Varlamov

Recent experimental study unveiled highly unconventional phenomena in the superconducting twisted bilayer graphene (TBG) with ultra flat bands, which cannot be described by the conventional BCS theory. For example, given the small Fermi…

Superconductivity · Physics 2024-02-05 Shuai A. Chen , K. T. Law

The data of temperature dependent superfluid density $n_s(T)$ in Li$_2$Pd$_3$B and Li$_2$Pt$_3$B [Yuan {\it et al.}, \phrl97, 017006 (2006)] show that a sudden change of the slope of $n_s (T)$ occur at slightly lower than the critical…

Superconductivity · Physics 2009-11-13 Soumya P. Mukherjee , Sudhansu S. Mandal

We present a model of pressure effects of a two-band superconductor based on a Ginzburg-Landau free energy with two order parameters. The parameters of the theory are pressure as well as temperature dependent. New pressure effects emerge as…

Superconductivity · Physics 2009-11-10 J. J. Betouras , V. A. Ivanov , F. M. Peeters

We study the two-dimensional spin-charge separated Ginzburg-Landau theory containing U(1) gauge interactions as a semi-phenomenological model describing fluctuating condensates in high temperature superconductivity. Transforming the…

Superconductivity · Physics 2009-10-31 Atsuya Kumagai , Masahiko Hayashi , Hiromichi Ebisawa

Using the microscopic formalism of Eilenberger equations, a three-band Ginzburg-Landau theory for the intraband dirty limit and clean interband scattering case is derived. Within the framework of this three-band Ginzburg-Landau theory,…

Superconductivity · Physics 2013-10-25 Y. Yerin , S. -L. Drechsler , G. Fuchs

We analyze properties of superconducting state (for both s-wave and d-wave pairing), appearing on the "background" of the pseudogap state, induced by fluctuations of "dielectric" (AFM(SDW) or CDW) short -- range order in the model of the…

Superconductivity · Physics 2009-11-10 E. Z. Kuchinskii , M. V. Sadovskii , N. A. Strigina

We study the superconducting instability in systems with long but finite ranged, attractive, pairing interactions. We show that such long-ranged superconductors exhibit a new class of fluctuations in which the internal structure of the…

Superconductivity · Physics 2009-10-31 Kun Yang , S. L. Sondhi

We point out that ferromagnetic superconductors with triplet pairing and strong spin-orbit coupling are even in the simplest case at least two-band superconductors. The Gor'kov type formalism for such superconductors is developed and the…

Superconductivity · Physics 2007-05-23 V. P. Mineev , T. Champel
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