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The effect of a periodic pinning array on the vortex state in a 2D superconductor at low temperatures is studied within the framework of the Ginzburg-Landau approach. It is shown that attractive interaction of vortex cores to a commensurate…

Superconductivity · Physics 2009-11-10 V. Zhuravlev , T. Maniv

We study the two-dimensional Ginzburg-Landau model of a neutral superfluid in the vicinity of the vortex unbinding transition. The model is mapped onto an effective interacting vortex gas by a systematic perturbative elimination of all…

Condensed Matter · Physics 2009-10-22 Dierk Bormann , Hans Beck

Within the framework of the generalized time-dependent Ginzburg-Landau equations, we studied the influence of the magnetic self-field induced by the currents inside a superconducting sample driven by an applied transport current. The…

Superconductivity · Physics 2020-06-03 Leonardo Rodrigues Cadorim , Alexssandre de Oliveira Junior , Edson Sardella

In this work we explore the interplay between superconductivity and nematicity in the framework of a Ginzburg Landau theory with a nematic order parameter coupled to the superconductor order parameter, often used in the description of…

We derive an expression for the effective Josephson coupling from the microscopic Hubbard model. It serves as a starting point for the description of phase fluctuations of local Cooper pairs in $d_{x^2-y^2}$-wave superconductors in the…

Strongly Correlated Electrons · Physics 2019-07-24 Malte Harland , Sergey Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

The stationary Josephson effect is studied theoretically in the situation when there is externally injected transport supercurrent which flows in the banks parallel to the contact interface. Coexistence of this supercurrent with the order…

Superconductivity · Physics 2015-06-25 A. N. Omelyanchouk , S. N. Shevchenko , Yu. A. Kolesnichenko

We derive microscopically the Ginzburg-Landau free energy functional for a superconductor in which the Cooper pairs are formed not only by quasiparticles from the same band, but also by quasiparticles from different bands. In the simplest…

Superconductivity · Physics 2024-04-22 K. V. Samokhin

We will describe a new superconductivity mechanism, proposed by the authors in [1], which is based on a topologically ordered ground state rather than on the usual Landau mechanism of spontaneous symmetry breaking. Contrary to anyon…

High Energy Physics - Theory · Physics 2007-05-23 M. C. Diamantini , P. Sodano , C. A. Trugenberger

The vortex velocity probability distribution for two distinct vortices is determined for the case of phase-ordering kinetics in systems with point defects. The n-vector model driven by time-dependent Ginzburg-Landau dynamics for a…

Condensed Matter · Physics 2009-10-30 Gene F. Mazenko

We consider the Josephson effect through a thin spin-orbit coupled layer in the presence of an exchange field, and discover a set of supercurrent vortices appearing in the system which can be controllably moved around in the system by…

Superconductivity · Physics 2017-08-16 Morten Amundsen , Jacob Linder

The standard Ginzburg-Landau model of competing-order superconductors is studied. It is observed that this model possesses two distinct species of vortex, and consequently has two distinct integer valued topological charges. A simple point…

Superconductivity · Physics 2021-01-27 Martin Speight , Thomas Winyard

We theoretically investigate the properties of ultra-cold dipolar atoms in radially coupled, concentric annular traps created by a potential barrier. The non-rotating ground-state phases are investigated across the superfluid-supersolid…

Quantum Gases · Physics 2025-06-30 Malte Schubert , Koushik Mukherjee , Tilman Pfau , Stephanie Reimann

The effect of a magnetic field component parallel to the superconducting layers on longitudinal Josephson plasma oscillations in the layered high temperature superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ is shown to depend on the…

The nature of decoupling in the mixed phase of extremely type-II layered superconductors is studied theoretically through a duality transformation of the layered XY model with frustration. In the limit of weak coupling, we generally find…

Superconductivity · Physics 2009-10-31 J. P. Rodriguez

The Josephson effect is a kind of macroscopic quantum phenomenon that supercurrent flows through a Josephson junction without any voltage applied. We predict a novel vortex-state-mediated Josephson effect in an SNS Josephson junction…

Superconductivity · Physics 2014-09-04 Zhao Yang Zeng , Chong Zhang

We use the cubic complex Ginzburg-Landau equation coupled to a dissipative linear equation as a model of lasers with an external frequency-selective feedback. It is known that the feedback can stabilize the one-dimensional (1D)…

Pattern Formation and Solitons · Physics 2015-05-27 P. V. Paulau , D. Gomila , P. Colet , B. A. Malomed , W. J. Firth

Vortex dynamics in a bilayer thin film superconductor are studied through a Josephson-coupled double layer XY model. A renormalization group analysis shows that there are three possible states associated with the relative phase of the…

Superconductivity · Physics 2009-11-11 Wei Zhang , H. A. Fertig

A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schoen

Vortex motion in type II superconductors is studied starting from a variant of the time dependent Ginzburg-Landau equations, in which the order parameter relaxation time is taken to be complex. Using a method due to Gor'kov and Kopnin, we…

Condensed Matter · Physics 2008-11-26 Alan T. Dorsey

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin