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We consider magnetic oscillations due to Landau quantization in the mixed state of type-II superconductors. Our work is based on a previously developed formalism which allows the mean-field gap equations of the Abrikosov state to be…

Condensed Matter · Physics 2009-10-22 M. R. Norman , A. H. MacDonald , H. Akera

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

A self-consistent Bogoliubov deGennes theory of the vortex lattice state in a 2D strong type-II superconductor at high magnetic fields reveals a novel quantum mixed state around the semiclassical Hc2, characterized by a well-defined…

Superconductivity · Physics 2017-01-11 Vladimir Zhuravlev , Wenye Duan , Tsofar Maniv

The phenomenon of magnetic quantum oscillations in the superconducting state poses several questions that still defy satisfactory answers. A key controversial issue concerns the additional damping observed in the vortex state. Here, we show…

Superconductivity · Physics 2015-05-20 A. Maniv , T. Maniv , V. Zhuravlev , B. Bergk , J. Wosnitza , A. Kohler , G. Behr , P. C. Canfield , J. E. Sonier

We have calculated the longitudinal acoustic attenuation in a type-II superconductor in high magnetic fields within a mean-field BCS theory. We predict two new features in the corresponding attenuation signal as compared to that of the…

Superconductivity · Physics 2009-10-30 G. M. Bruun , V. N. Nicopoulos , N. F. Johnson

At high magnetic fields and low temperatures, numerous extreme type-II superconductors exhibit Landau quantization of electronic motion. We present an analytic construction of the quasiparticle spectrum in this regime, based on the…

Superconductivity · Physics 2007-05-23 Zlatko Tesanovic , Pedro D. Sacramento

Theory of quasiparticle spectra and the de Haas-van Alphen (dHvA) oscillation in type-II superconductors are developed based on the Bogoliubov-de Gennes equations for vortex-lattice states. As the pair potential grows through the…

Superconductivity · Physics 2009-11-07 Kouji Yasui , Takafumi Kita

A novel singular gauge transformation is developed for quasiparticles in the mixed state of a strongly type-II superconductor which permits a full solution of the problem at low and intermediate fields. For a periodic vortex lattice the…

Superconductivity · Physics 2007-05-23 M. Franz , Z. Tesanovic

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

We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models the state of an heterogeneous type II supercon-ductor…

Analysis of PDEs · Mathematics 2019-04-05 Mickaël Dos Santos

We derive a general quasiclassical approach for long-range magnetic-field quantization effects in superconductors. The method is applied to superclean d-wave superconductors in the mixed state. We study the delocalized states with energies…

Superconductivity · Physics 2009-10-31 N. B. Kopnin , V. M. Vinokur

Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

We investigate de Haas-van Alphen (dHvA) oscillations in the mixed state of a type-II two-dimensional superconductor within a self-consistent Gor'kov perturbation scheme. Assuming that the order parameter forms a vortex lattice we can…

supr-con · Physics 2016-09-08 G. M. Bruun , V. N. Nicopoulos , N. F. Johnson

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex…

Superconductivity · Physics 2007-05-23 G. F. Zharkov , V. G. Zharkov , A. Yu. Zvetkov

We study the features of the superconductivity nucleation and vortex configurations in superconductors with modulated disorder. Using the Ginzburg-Landau-type theory with spatially varying diffusion coefficient, we uncover and explain the…

Superconductivity · Physics 2023-05-17 A. A. Kopasov , I. M. Tsar'kov , A. S. Mel'nikov

Varying the angle Theta between applied field and the conducting planes of a layered superconductor in a small interval close to the plane-parallel field direction, a large number of superconducting states with unusual properties may be…

Superconductivity · Physics 2009-11-10 U. Klein

Motivated by recent work on strain-induced pseudo-magnetic fields in Dirac and Weyl semimetals, we analyze the possibility of analogous fields in two-dimensional nodal superconductors. We consider the prototypical case of a d-wave…

Superconductivity · Physics 2018-02-07 Emilian M. Nica , Marcel Franz

The mixed phase of extremely type-II layered superconductors in perpendicular magnetic field is studied theoretically via the layered XY model with uniform frustration. A partial duality analysis is carried out in the weak-coupling limit.…

Superconductivity · Physics 2008-12-18 J. P. Rodriguez

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…

Condensed Matter · Physics 2009-10-31 Zlatko Tesanovic

We study quasiparticles of d-wave superconductors in the vortex lattice by self-consistently solving the Bogoliubov-de Gennes equations. It is found for a pure $d_{x^2-y^2}$ state that: (i) low-energy quasiparticle bands in the magnetic…

Superconductivity · Physics 2009-10-31 Kouji Yasui , Takafumi Kita
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