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In a one dimensional superconductor where current driven phase transitions occur between superconducting and normal phases, both the phases coexist in a metastable regime over a wide range of current near the critical current $j_c$. A lot…

Superconductivity · Physics 2015-05-13 A. Bhattacharyay

We investigate the flux-tube joining two equal and opposite electric charges using the dual Ginzburg-Landau model of superconductivity. The model is supplemented with an additional scalar field carrying a non-Abelian global symmetry, broken…

High Energy Physics - Theory · Physics 2017-12-27 Gianni Tallarita , Adam Peterson

We propose an analytical Landau-Ginzburg theory of the charge density waves coupled with lattice and electronic long-range order parameters. Examples of long-range order include electronic wave function of superconducting Cooper pairs,…

Materials Science · Physics 2023-05-16 Anna Morozovska , Eugene Eliseev , Venkatraman Gopalan , Long-Qing Chen

We propose a finite temperature Landau theory that describes competing orders and interlayer tunneling in cuprate superconductors as an important extension to a corresponding theory at zero temperature [Nature {\bf 428}, 53 (2004)], where…

Superconductivity · Physics 2009-11-11 Jian-Bao Wu , Ming-Xu Pei , Qiang-Hua Wang

We develop Ginzburg-Landau approach to the problem of superconducting pairing with large momentum under screened Coulomb repulsion (eta_K-pairing). Two-component order parameter arising in this scheme can be associated with charge and…

Superconductivity · Physics 2007-05-23 V. I. Belyavsky , Yu. V. Kopaev

Using the Ginzburg-Landau theory extended to the next-to-leading order we determine numerically the healing lengths of the two order parameters at the two-gap superconductor/normal metal interface. We demonstrate on several examples that…

Superconductivity · Physics 2011-08-26 L. Komendová , M. V. Milošević , A. A. Shanenko , F. M. Peeters

We derive the exact equation of motion for a vortex in two- and three- dimensional non-relativistic systems governed by the Ginzburg-Landau equation with complex coefficients. The velocity is given in terms of local gradients of the…

patt-sol · Physics 2016-09-08 Ola Tornkvist , Elsebeth Schroder

This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from…

Analysis of PDEs · Mathematics 2007-11-28 Ayman Kachmar

We study superconductors with two order components and phase separation driven by intercomponent density-density interaction, focusing on the phase where only one condensate has non-zero ground-state density and a competing order parameter…

Superconductivity · Physics 2015-01-21 Julien Garaud , Egor Babaev

We study of the formation of pattern-forming fronts in the presence of a rigidly-propagating parameter ramp which is slowly-varying in space. In the context of the prototypical supercritical complex Ginzburg-Landau equation, we show that…

Pattern Formation and Solitons · Physics 2026-05-26 Ryan Goh , Benjamin Krewson , Nilay Patel , Kiersten Ratcliff

By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of stable vortex solitons coexist. All these stationary solutions…

We study the interplay between nematic order and superconductivity, motivated by a recent experiment on FeSe observing strongly distorted vortex shapes (Song et al., Science 332, 1410 (2011)). We show that the nematic order strongly…

Strongly Correlated Electrons · Physics 2012-05-10 Eun Gook Moon , Subir Sachdev

The relaxation iterative method is used to minimize Ginzburg-Landau model for the two-band superconductor with Josephson-coupling. A stable spontaneous vortex-antivortex pair with long range order has been revealed. Our result appears due…

Superconductivity · Physics 2019-01-30 Zhi-Wei Wang

In the Ginzburg-Landau limit, a possible texture without singular cores in a rotating neutron spin-triplet superfluid is studied. It is constructed the lattice of non-singular vortices with a vorticity diffusely distributed over the entire…

High Energy Astrophysical Phenomena · Physics 2020-09-17 Lev B. Leinson

A simulation study using the time-dependent Ginzburg-Landau theory is performed for the vortex state in two-component superconductors, such as PrOs_4_Sb_12_. We investigate the flux flow and the pinning of the vortex sheet structure. We…

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

The critical properties of a type-II superconductor model are investigated using a dual vortex representation. Computing the propagators of gauge field $\vec{A}$ and dual gauge field $\vec{h}$ in terms of a vortex correlation function, we…

Superconductivity · Physics 2009-10-31 J. Hove , A. Sudbo

The interaction energy and force between widely separated strings is analyzed in a field theory having applications to superconducting cosmic strings, the SO(5) model of high-temperature superconductivity, and solitons in nonlinear optics.…

High Energy Physics - Theory · Physics 2009-11-10 R. MacKenzie , M. -A. Vachon , U. F. Wichoski

We analyze the properties of a general Ginzburg-Landau free energy with competing order parameters, long-range interactions, and global constraints (e.g., a fixed value of a total ``charge'') to address the physics of stripe phases in…

Superconductivity · Physics 2007-05-23 Leonid P. Pryadko , Steven A. Kivelson , V. J. Emery , Yaroslaw B. Bazaliy , Eugene A. Demler

The magnetic vortices in superconductors usually repel each other. Several cases are discussed when the vortex interaction has an attractive tail and thus a minimum, leading to vortex clusters and chains. Decoration pictures then typically…

Superconductivity · Physics 2010-07-08 Ernst Helmut Brandt , Mukunda P. Das

The criticism of Babaev and Silaev notwithstanding, we conclude that our analysis is correct. We have found in our papers on two-band superconductors close to Tc, where the Ginzburg-Landau (GL) theory applies, that these materials are…

Superconductivity · Physics 2013-05-30 V. G. Kogan , Joerg Schmalian
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