Ginzburg–Landau theory ≈ Ginzburg–Landau theory
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Vortices in high-performance high-temperature superconductors Open
The behavior of vortex matter in high-temperature superconductors (HTS) controls the entire electromagnetic response of the material, including its current carrying capacity. Here, we review the basic concepts of vortex pinning and its app…
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Landau–Ginzburg theory of cortex dynamics: Scale-free avalanches emerge at the edge of synchronization Open
Significance The human cortex operates in a state of restless activity, the meaning and functionality of which are still not understood. A fascinating, though controversial, hypothesis, partially backed by empirical evidence, suggests that…
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Bifurcations, chaotic behavior, and optical solutions for the complex Ginzburg–Landau equation Open
This research focuses on investigating an extended version of the Ginzburg–Landau (GL) equation that describes the motion of particles in a plasma. The other applications of this model can be found in optics, and other related fields. As p…
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Symmetry conditions for the superconducting diode effect in chiral superconductors Open
We analyze the presence of non-reciprocal critical currents, the so-called\nsuperconducting diode effect, in chiral superconductors within a generalized\nGinzburg-Landau framework. After deriving its key symmetry conditions we\nillustrate …
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Mean string field theory: Landau-Ginzburg theory for 1-form symmetries Open
By analogy with the Landau-Ginzburg theory of ordinary zero-form symmetries, we introduce and develop a Landau-Ginzburg theory of one-form global symmetries, which we call mean string field theory. The basic dynamical variable is a string …
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Speed limit to the Abrikosov lattice in mesoscopic superconductors Open
We study the instability of the superconducting state in a mesoscopic\ngeometry for the low pinning material Mo$_3$Ge characterized by a large\nGinzburg-Landau parameter. We observe that in the current driven switching to\nthe normal state…
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Superconductivity between standard types: Multiband versus single-band materials Open
In the nearest vicinity of the critical temperature, types I and II of conventional single-band superconductors interchange at the Ginzburg-Landau parameter $\ensuremath{\kappa}=1/\sqrt{2}$. At lower temperatures this point unfolds into a …
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Dissipative Phase Solitons in Semiconductor Lasers Open
We experimentally demonstrate the existence of nondispersive solitary waves associated with a 2π phase rotation in a strongly multimode ring semiconductor laser with coherent forcing. Similarly to Bloch domain walls, such structures host a…
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Effect of hexagonal patterned arrays and defect geometry on the critical current of superconducting films Open
Understanding the effect of pinning on the vortex dynamics in superconductors is a key factor towards controlling critical current values. Large-scale simulations of vortex dynamics can provide a rational approach to achieve this goal. Her…
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Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg-Landau equation Open
We investigate the impact of higher-order nonlinear and dispersive effects on the onset of soliton explosions in the complex cubic-quintic Ginzburg-Landau equation. We show how the interplay of the high order effects (HOEs) results in the …
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Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field Open
We apply time-dependent Ginzburg-Landau (TDGL) numerical simulations to study the finite frequency electrodynamics of superconductors subjected to an intense rf magnetic field. Much recent TDGL work has focused on spatially uniform externa…
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Strain and ferroelectric soft-mode induced superconductivity in strontium titanate Open
We investigate the effects of strain on superconductivity with particular\nreference to SrTiO$_3$. Assuming that a ferroelectric mode that softens under\ntensile strain is responsible for the coupling, an increase in the critical\ntemperat…
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Landau theory for non-symmetry-breaking electronic instability coupled to symmetry-breaking order parameter applied to Prussian blue analog Open
Different types of ordering phenomena may occur during phase transitions,\ndescribed within the universal framework of the Landau theory through the\nevolution of one, or several, symmetry-breaking order parameter h. In addition,\nmany sys…
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Finite temperature effective field theory and two-band superfluidity in Fermi gases Open
\n We develop a description of fermionic superfluids in terms of an effective field theory\n for the pairing order parameter. Our effective field theory improves on the existing\n Ginzburg-Landau theory for superfluid Fermi gases in that i…
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Physical Properties Revealed by Transport Measurements for Superconducting Nd<sub>0.8</sub>Sr<sub>0.2</sub>NiO<sub>2</sub> Thin Films Open
The newly discovered superconductivity in infinite-layer nickelate superconducting films has attracted much attention, largely because their crystalline and electronic structures are similar to those of high- T c cuprate superconductors. T…
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Ginzburg-Landau theory of the bcc-liquid interface kinetic coefficient Open
We extend the Ginzburg-Landau (GL) theory of atomically rough bcc-liquid interfaces outside of equilibrium. We use this extension to derive an analytical expression for the kinetic coefficient, which is the proportionality constant μ(nˆ) b…
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Discommensuration-driven superconductivity in the charge density wave phases of transition-metal dichalcogenides Open
We introduce a McMillan-Ginzburg-Landau theory to describe the cooperative\ncoexistence of charge-density and superconducting order in two-dimensional\ncrystals. With a free-energy that explicitly accounts for the competition\nbetween comm…
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Field-Free Superconducting Diode in a Magnetically Nanostructured Superconductor Open
A strong superconducting diode effect (SDE) is revealed in a thin\nsuperconducting film periodically nanostructured with magnetic dots. The SDE is\ncaused by the current-activated dissipation mitigated by vortex-antivortex\npairs (VAPs), w…
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Suppression of superfluid stiffness near a Lifshitz-point instability to finite-momentum superconductivity Open
We derive the effective Ginzburg-Landau theory for finite momentum (FFLO/PDW)\nsuperconductivity without spin population imbalance from a model with local\nattraction and repulsive pair-hopping. We find that the GL free energy must\ninclud…
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Orbitally limited pair-density-wave phase of multilayer superconductors Open
We investigate the magnetic field dependence of an ideal superconducting\nvortex lattice in the parity-mixed pair-density wave phase of multilayer\nsuperconductors within a circular cell Ginzburg-Landau approach. In multilayer\nsystems, du…
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Dynamics and heat diffusion of Abrikosov’s vortex-antivortex pairs during an annihilation process Open
The manipulation and control of vortex states in superconducting systems are of great interest in view of possible applications, for which mesoscopic materials are good candidates. In this work, we studied the annihilation dynamics and the…
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Holographic Lifshitz superconductors: Analytic solution Open
We construct an analytic solution for a one-parameter family of holographic\nsuperconductors in asymptotically Lifshitz spacetimes. We utilize this solution\nto explore various properties of the systems such as (1) the superfluid phase\nba…
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Microscopic derivation of superconductor-insulator boundary conditions for Ginzburg-Landau theory revisited: Enhanced superconductivity at boundaries with and without magnetic field Open
Using the standard Bardeen-Cooper-Schrieffer (BCS) theory, we revise microscopic derivation of the superconductor-insulator boundary conditions for the Ginzburg-Landau (GL) model. We obtain a negative contribution to free energy in the for…
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Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors Open
We consider the Ginzburg-Landau energy for a type-I superconductor in the shape of an infinite three-dimensional slab, with two-dimensional periodicity, with an applied magnetic field which is uniform and perpendicular to the slab. We dete…
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Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions Open
We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a "simple" and deterministic prototype model: the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions. The main features of their dynamics…
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Two-mode Ginzburg-Landau theory of crystalline anisotropy for fcc-liquid interfaces Open
Here we develop a Ginzburg-Landau (GL) theory for fcc crystal-melt systems at equilibrium by employing two sets of order parameters that correspond to amplitudes of density waves of principal reciprocal lattice vectors and amplitudes of de…
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Magnetic properties of type-I and type-II Weyl semimetals in the superconducting state Open
Superconductivity was observed in certain range of pressure and chemical\ncomposition in Weyl semi-metals of both the type I and type II (when the Dirac\ncone tilt parameter $\\kappa >1$). Magnetic properties of these superconductors\nare …
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Phase solitons in a weakly coupled three-component superconductor Open
Based on the phenomenological Ginzburg-Landau approach, we investigate phase solitonic states in a class of three-component superconductors for mesoscopic doubly-connected geometry (thin-walled cylinder) in external magnetic fields. Analys…
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Ground state of the three-dimensional BCS -wave superconductor Open
We determine the mean-field ground state of the three-dimensional rotationally symmetric d-wave (ℓ = 2) superconductor at weak coupling. It is a noninert state, invariant under the symmetry C2 only, which breaks time-reversal symmetry almo…
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Analytical solution to local fractional Landau-Ginzburg-Higgs equation on fractal media Open
The main objective of the present article is to introduce a new analytical solution of the local fractional Landau-Ginzburg-Higgs equation on fractal media by means of the local fractional variational iteration transform method, which is c…