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We consider a hypothetical substance, where interaction between (within) structural elements of condensed matter (molecules, nanoparticles, clusters, layers, wires etc.) depends on state of Cooper pairs: an additional work must be made…

Superconductivity · Physics 2018-05-02 Konstantin V. Grigorishin

It is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance, the presence of corners induces geometric terms described…

Mathematical Physics · Physics 2025-04-04 Michele Correggi , Emanuela L. Giacomelli , Ayman Kachmar

Boundary conditions for a superconducting order parameter at a diffusive scattering boundary are derived from microscopic theory. The results indicate that for all but isotropic gap functions the diffusive boundary almost completely…

Condensed Matter · Physics 2009-10-28 D. F. Agterberg , M. B. Walker

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

A detailed theoretical analysis of the Gaussian fluctuations of the order parameter in layered superconductors is performed within the Ginzburg-Landau (GL) theory. The available results for the Gaussian fluctuations are systematized and a…

Superconductivity · Physics 2009-10-31 Todor Mishonov , Evgeni Penev

A Ginzburg-Landau free energy for a superconducting chiral p-wave order parameter is derived from a two-dimensional tight binding lattice model with weak spin-orbit coupling included as a general symmetry-breaking field. Superconductivity…

Superconductivity · Physics 2018-07-18 Fredrik Nicolai Krohg , Asle Sudbø

The Ginzburg-Landau (GL) free energy of crystalline color superconductors is important for understanding the nature of the phase transition to the normal quark matter and predicting the preferred crystal structure. So far the GL free energy…

Nuclear Theory · Physics 2016-01-19 Gaoqing Cao , Lianyi He

The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis…

Numerical Analysis · Mathematics 2025-10-20 H. G. Kaper , H. Nordborg

We present a model of pressure effects of a two-band superconductor based on a Ginzburg-Landau free energy with two order parameters. The parameters of the theory are pressure as well as temperature dependent. New pressure effects emerge as…

Superconductivity · Physics 2009-11-10 J. J. Betouras , V. A. Ivanov , F. M. Peeters

We derive the effective Ginzburg-Landau theory for finite momentum (FFLO/PDW) superconductivity without spin population imbalance from a model with local attraction and repulsive pair-hopping. We find that the GL free energy must include up…

Superconductivity · Physics 2018-12-10 Jonatan Wårdh , Mats Granath , Brian M. Andersen

A procedure to derive the Ginzburg-Landau (GL) theory from the multiband BCS Hamiltonian is developed in a general case with an arbitrary number of bands and arbitrary interaction matrix. It combines the standard Gor'kov truncation and a…

Superconductivity · Physics 2013-04-19 N. V. Orlova , A. A. Shanenko , M. V. Milošević , F. M. Peeters , A. Vagov , V. M. Axt

The electrostatic potential in the flat superconducting slab is evaluated in the framework of the Ginzburg-Landau theory extended by Bardeen to low temperatures. For magnetic fields below B_c1, we discuss the formation of a surface charge…

Superconductivity · Physics 2009-11-07 Jan Kolacek , Pavel Lipavsky , Ernst Helmut Brandt

Based on the Gor'kov formalism for a clean s-wave superconductor, we develop an extended version of the single-band Ginzburg-Landau (GL) theory by means of a systematic expansion in the deviation from the critical temperature T_c, i.e.,…

Superconductivity · Physics 2012-03-16 A. V. Vagov , A. A. Shanenko , M. V. Milošević , V. M. Axt , F. M. Peeters

We propose a phenomenological Ginzburg-Landau-like theory of cuprate superconductivity. The free energy is expressed as a functional F of the spin-singlet pair amplitude psi_ij=psi_m=Delta_m exp(i phi_m); i and j are nearest-neighbor sites…

Superconductivity · Physics 2015-05-19 Sumilan Banerjee , T. V. Ramakrishnan , Chandan Dasgupta

We study, within the Ginzburg-Landau (GL) theory of phase transitions, how elastic deformations in a supersolid lead to local changes in the supersolid transition temperature. The GL theory is mapped onto a Schrodinger-type equation with an…

Other Condensed Matter · Physics 2011-06-03 T. Arpornthip , A. V. Balatsky , M. Graf , Z. Nussinov

The general Ginzburg-Landau formulation of a holographic superconductor is developed near the transition temperature in the probe limit for two kinds of conformal dimension. Below the transition temperature, $T<T_c$, the order-parameter…

High Energy Physics - Theory · Physics 2017-03-22 Lei Yin , Defu Hou , Hai-cang Ren

We consider the two-dimensional Ginzburg-Landau functional with constant applied magnetic field. For applied magnetic fields close to the second critical field $H_{C_2}$ and large Ginzburg-Landau parameter, we provide leading order…

Mathematical Physics · Physics 2017-08-23 S. Fournais , A. Kachmar

We develop a fractional-order Ginzburg-Landau (GL) framework for nonreciprocal superconducting transport in Josephson junctions formed by fractal superconductors or superconducting media with nonlocal correlations, separated by a…

Superconductivity · Physics 2026-01-06 Yuriy Yerin , Iman Askerzade

We have recently proposed a theoretical model for superconductors endowed with two distinct superconducting phases, described by two scalar order parameters which condensate at different critical temperatures. On analyzing the magnetic…

Superconductivity · Physics 2009-11-13 E. Di Grezia , S. Esposito , G. Salesi

Using the non-linear Ginzburg-Landau (GL) theory, we obtain the possible vortex configurations in superconducting thin films containing a square lattice of antidots. The equilibrium structural phase diagram is constructed which gives the…

Superconductivity · Physics 2016-08-16 G. R. Berdiyorov , M. V. Milošević , F. M. Peeters
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