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Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

Pattern Formation and Solitons · Physics 2020-07-09 Victor P. Ruban

We study impurity effects in vortex core of two-dimensional moderately clean su perconductors within the quasiclassical theory. The impurity scattering rate $\G amma(E)$ of the Andreev bound states in vortex core with +1 vorticity of p-wav…

Superconductivity · Physics 2009-10-31 Yusuke Kato

The energy levels of the fermions bound to the vortex are considered for vortices in the superfluid/superconducting systems which contain the symmetry protected plane of zeroes in the gap function in bulk. The Caroli-de Gennes-Matricon…

Superconductivity · Physics 2017-09-20 G. E. Volovik

The recent interest in the low-energy states in vortices of semiconductor-superconductor heterostructures are mainly fueled by the prospects of using Majorana zero modes for quantum computation. The knowledge of low-lying states in the…

Superconductivity · Physics 2021-06-07 Alexander Ziesen , Fabian Hassler

We have simulated the time-dependent Ginzburg-Landau equation with thermal fluctuations, to study the nonlocal dc conductivity of a superconducting film. Having examined points in the phase diagram at a wide range of temperatures and fields…

Condensed Matter · Physics 2012-08-16 Rachel Wortis , David A. Huse

We consider a fractional Josephson vortex in an infinitely long 0-kappa Josephson junction. A uniform bias current applied to the junction exerts a Lorentz force acting on a vortex. When the bias current becomes equal to the critical (or…

Superconductivity · Physics 2009-11-02 K. Vogel , T. Kato , W. P. Schleich , D. Koelle , R. Kleiner , E. Goldobin

Transport properties of the vortex lattice in high temperature superconductors are studied using numerical simulations in the case in which the non-local interactions between vortex lines are dismissed. The results obtained for the…

Superconductivity · Physics 2009-10-30 E. A. Jagla

Here we consider the universal heat conduction and the angular dependent thermal conductivity in the vortex state for a few nodal superconductors. We present the thermal conductivity as a function of impurity concentration and the angular…

Superconductivity · Physics 2009-11-10 H. Won , K. Maki

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 calculate the response of a vortex core in a layered superconductor to {\em ac} electromagnetic fields with frequencies $\omega\lsim 2\Delta/\hbar$. In this frequency range the response is dominated by order parameter collective modes…

Superconductivity · Physics 2010-11-16 Matthias Eschrig , J. A. Sauls , D. Rainer

The thermodynamic nature of two-dimensional vortex matter is studied theoretically through a duality analysis of the XY model over the square lattice with low uniform frustration. A phase-coherent vortex lattice state is found at low…

Superconductivity · Physics 2009-11-07 J. P. Rodriguez

The effect of quasi-particle (QP) 'scattering' by the vortex lattice on the de-Haas van-Alphen oscillations in a pure type-II superconductor is investigated within mean field,asymptotic perturbation theory. Using a 2D electron gas model it…

Superconductivity · Physics 2009-10-30 V. N. Zhuravlev , T. Maniv , I. D. Vagner , P. Wyder

The contribution to the vortex lattice energy which is due to the vortex-induced strains is calculated covering all the magnetic field range which defines the vortex state. This contribution is compared with previously reported ones what…

Superconductivity · Physics 2016-08-31 A. Cano , A. P. Levanyuk , S. A. Minyukov

We consider the Lawrence-Doniach model for layered superconductors, in which stacks of parallel superconducting planes are coupled via the Josephson effect. We assume that the superconductor is placed in an external magnetic field oriented…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , A. J. Berlinsky , L. Bronsard

A phenomenon of energy dissipation in Bose-Einstein condensates is studied based on a microscopic model for the motion of impurity. Critical velocities for onset of energy dissipation are obtained for periodic motions, such as a dipole-like…

Statistical Mechanics · Physics 2009-11-11 Jun Suzuki

In this work, we study the numerical approximation of minimizers of the Ginzburg-Landau free energy, a common model to describe the behavior of superconductors under magnetic fields. The unknowns are the order parameter, which characterizes…

Numerical Analysis · Mathematics 2026-01-29 Christian Döding , Benjamin Dörich , Patrick Henning

A density-functional approach is used to calculate the inhomogeneous vortex density distribution in the flux liquid phase at the planar surface of a layered superconductor, where the external magnetic field is perpendicular to the…

Superconductivity · Physics 2009-10-30 A. Kraemer , E. Diaz-Herrera

We study the vortex-line lattice and liquid phases of a clean type-II superconductor by means of Monte Carlo simulations of the lattice London model. Motivated by a recent controversy regarding the presence, within this model, of a…

Superconductivity · Physics 2009-10-30 T. J. Hagenaars , E. H. Brandt , R. E. Hetzel , W. Hanke , M. Leghissa , G. Saemann-Ischenko

We use a model of vortex dynamics and collective weak pinning theory to study the residual dissipation due to trapped magnetic flux in a dirty superconductor. Using simple estimates, approximate analytical calculations, and numerical…

In this work, we study discrete minimizers of the Ginzburg-Landau energy in finite element spaces. Special focus is given to the influence of the Ginzburg-Landau parameter $\kappa$. This parameter is of physical interest as large values can…

Numerical Analysis · Mathematics 2024-02-20 Benjamin Dörich , Patrick Henning
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