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The structure and equilibrium properties of a two-dimensional system of superconducting vortices in a periodic pinning potential with square symmetry are studied numerically. For a range of the strength of the pinning potential, the…

Superconductivity · Physics 2009-11-07 Toby Joseph , Chandan Dasgupta

We calculate the renormalized quartic vertex function of the Ginzburg-Landau model for a superconducting film in a magnetic field by summing an infinite subset of diagrams, the so-called parquet graphs. Using this non-perturbative solution,…

Condensed Matter · Physics 2009-10-28 Joonhyun Yeo , M. A. Moore

In type-II superconductors, where vortices and antivortices tend to annihilate, only a "ferromagnetic" vortex lattice, with the same orientation of vortex magnetic moments, is usually formed in a homogeneous external magnetic field. Using…

Superconductivity · Physics 2012-11-15 V. N. Gladilin , J. Tempere , J. T. Devreese , V. V. Moshchalkov

Novel vortex phase and nature of double transition field are investigated by two-component Ginzburg-Landau theory in a situation where fourfold-twofold symmetric superconducting double transition occurs. The deformation from 60 degree…

Superconductivity · Physics 2007-08-01 Yasushi Matsunaga , Masanori Ichioka , Kazushige Machida

Turbulent vortex structures emerging in bacterial active fluids can be organized into regular vortex lattices by weak geometrical constraints such as obstacles. Here we show, using a continuum-theoretical approach, that the formation and…

Soft Condensed Matter · Physics 2022-07-06 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area is broad enough, it supports ground states in…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Boris A. Malomed , Dumitru Mihalache , Yi Cai , Xiaowei Lu , Qifan Zhu , Jingzhen Li

Measurements of non-local in-plane resistance originating from transverse vortex-vortex correlations have been performed on a Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta} high-T_c superconductor in a magnetic field up to 9 T applied along the crystal…

Superconductivity · Physics 2009-11-10 J. H. S. Torres , R. Ricardo da Silva , S. Moehlecke , Y. Kopelevich

The Lowest Landau Level (LLL) equation emerges as an accurate approximation for a class of dynamical regimes of Bose-Einstein Condensates (BEC) in two-dimensional isotropic harmonic traps in the limit of weak interactions. Building on…

Quantum Gases · Physics 2017-11-22 Anxo Biasi , Piotr Bizon , Ben Craps , Oleg Evnin

Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A…

Soft Condensed Matter · Physics 2009-11-07 J. L. Hansen , M. van Hecke , C. Ellegaard , K. H. Andersen , T. Bohr , A. Haaning , T. Sams

We report on a numerical study intended to examine the possibility that magnetic oscillations persist in type II superconductors beyond the point where the pairing self-energy exceeds the normal state Landau level separation. Our work is…

Condensed Matter · Physics 2009-10-28 M. R. Norman , A. H. MacDonald

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 consider the quantum melting of a two-dimensional flux lattice at temperature T = 0 in the ``superclean limit.'' In this regime, we find that vortex motion is dominated by the Magnus force. A Lindemann criterion predicts melting when…

Condensed Matter · Physics 2009-10-28 A. Rozhkov , D. Stroud

We report on simulations of layered superconductors using the Lawrence-Doniach model in the framework of the lowest Landau level approximation. We find a first order phase transition with a $B(T)$ dependence which agrees very well with the…

Superconductivity · Physics 2009-10-31 A. K. Kienappel , M. A. Moore

We develop an optimized perturbation theory for the Ginzburg - Landau description of thermal fluctuations effects in the vortex liquids. Unlike the high temperature expansion which is asymptotic, the optimized expansion is convergent.…

Superconductivity · Physics 2009-10-31 Dingping Li , Baruch Rosenstein

This paper studies vortex-lattice phases of rapidly rotating superfluid ^3He based on the Ginzburg-Landau free-energy functional. To identify stable phases in the p-Omega plane (p: pressure; Omega: angular velocity), the functional is…

Superconductivity · Physics 2009-11-07 Takafumi Kita

The electro-magnetic responses of ordered vortex lattices in unconventional superconductors are studied in a high field approximation. In the cases with a vortex lattice formed within the lowest Landau level of the superconducting order…

Superconductivity · Physics 2025-10-28 Ryusuke Ikeda , Yuto Yokota

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

We examine the question of thermal melting of the triangular Abrikosov vortex solid in two-dimensional superconductors or neutral superfluids. We introduce a model, which combines lowest Landau level (LLL) projection with the magnetic…

Superconductivity · Physics 2013-05-29 J. Iaconis , R. G. Melko , A. A. Burkov

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

The possible existence of the bound states of the interacting two-dimensional (2D) magnetoexcitons in the lowest Landau levels (LLLs) approximation was investigated using the Landau gauge description. The magnetoexcitons taking part in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 S. A. Moskalenko , P. I. Khadzhi , I. V. Podlesny , E. V. Dumanov , I. A. Zubac , M. A. Liberman