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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 form…

Superconductivity · Physics 2021-06-11 Albert Samoilenka , Egor Babaev

We determine the energy of an interface between a multiband superconducting and a normal half-space, in presence of an applied magnetic field, based on a multiband Ginzburg-Landau (GL) approach. We obtain that the multiband surface energy…

Superconductivity · Physics 2023-05-24 Jonas Bekaert , Levie Bringmans , Milorad Milosevic

We apply the Ginzburg-Landau theory to the colour superconducting phase of a lump of dense quark matter. We calculate the surface energy of a domain wall separating the normal phase from the super phase with the bulk equilibrium maintained…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ioannis Giannakis , Hai-cang Ren

A superconducting layer exposed to a perpendicular electric field and a parallel magnetic field is considered within the Ginzburg-Landau (GL) approach. The GL equation is solved near the surface and the surface energy is calculated. The…

Superconductivity · Physics 2009-11-13 K. Morawetz , P. Lipavský , J. Koláček , E. H. Brandt

A numerical approach to Ginzburg-Landau (GL) theory is demonstrated and we review its applications to several examples of current interest in the research on superconductivity. This analysis also shows the applicability of the…

Superconductivity · Physics 2016-08-14 M. V. Milošević , R. Geurts

Ginzburg-Landau (GL) equations and GL free energy for flux phase and superconductivity are derived microscopically from the $t-J$ model on a square lattice. Order parameter (OP) for the flux phase has direct coupling to a magnetic field, in…

Superconductivity · Physics 2017-12-29 Kazuhiro Kuboki

Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters,…

Superconductivity · Physics 2025-10-31 Harald Waje , Fabian Jakubczyk , Jeroen van den Brink , Carsten Timm

We study the 2D Ginzburg-Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this regime the order parameter minimizing the GL energy is concentrated along the…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie

The superconducting state of an infinitely long superconducting cylinder surrounded by a medium which enhances its superconductivity near the boundary is studied within the nonlinear Ginzburg-Landau theory. This enhancement can be due to…

Superconductivity · Physics 2009-11-07 B. J. Baelus , S. V. Yampolskii , F. M. Peeters , E. Montevecchi , J. O. Indekeu

Using the Ginzburg-Landau theory for two-band superconductors, we determine the surface energy, sigma_s, between coexisting normal and superconducting states at the thermodynamic critical magnetic field. Close to the transition temperature,…

Superconductivity · Physics 2015-05-19 Jani Geyer , Rafael M. Fernandes , V. G. Kogan , Jörg Schmalian

We construct a Ginsburg Landau (GL) theory to study the phases of liquid, solid, superfluid, especially a possible supersolid and phase transitions among these phases in a unified framework. In this GL, we put the two competing orders…

Strongly Correlated Electrons · Physics 2010-06-10 Jinwu Ye

Superconductivity remains one of most fascinating quantum phenomena existing on a macroscopic scale. Its rich phenomenology is usually described by the Ginzburg-Landau (GL) theory in terms of the order parameter, representing the…

Superconductivity · Physics 2023-03-28 M. C. Diamantini , C. A. Trugenberger , Sheng-Zong Chen , Yu-Jung Lu , Chi-Te Liang , V. M. Vinokur

Recent experimental study unveiled highly unconventional phenomena in the superconducting twisted bilayer graphene (TBG) with ultra flat bands, which cannot be described by the conventional BCS theory. For example, given the small Fermi…

Superconductivity · Physics 2024-02-05 Shuai A. Chen , K. T. Law

The Ginzburg-Landau (GL) effective theory is a useful tool to study a superconductivity or superfluidity near the critical temperature, and usually the expansion up to the 4th order in terms of order parameters is sufficient for the…

Nuclear Theory · Physics 2019-08-14 Shigehiro Yasui , Chandrasekhar Chatterjee , Michikazu Kobayashi , Muneto Nitta

We study thermal phase transitions of color superconductivity by the lattice simulations of the Ginzburg-Landau (GL) effective theory. The theory is equivalent to the SU_ f(3) cross SU_c(3) Higgs model coupled to SU_c(3) color gauge fields.…

High Energy Physics - Lattice · Physics 2007-05-23 Sanatan Digal , Tetsuo Hatsuda , Munehisa Ohtani

Ginzburg-Landau (GL) equations for the coexistent state of superconductivity and antiferromagnetism are derived microscopically from the t-J model with extended transfer integrals. GL equations and the GL free energy, which are obtained…

Superconductivity · Physics 2015-06-11 Kazuhiro Kuboki

We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that…

Mathematical Physics · Physics 2011-10-20 S. Fournais , A. Kachmar , M. Persson

We derive the linearized Ginzburg-Landau (GL) equation for a curved ultra-thin superconducting film in the presence of a magnetic field. By introducing a novel transverse order parameter that varies slowly along the film with the…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Long Du , Qinghua Chen , Minsi Li , Jiahong Gu , Guangzhen Kang , Yong-Long Wang

A boundary condition for the Ginzburg-Landau wave function at surfaces biased by a strong electric field is derived within the de Gennes approach. This condition provides a simple theory of the field effect on the critical temperature of…

Superconductivity · Physics 2009-11-11 P. Lipavsky , K. Morawetz , J. Kolacek , T. J. Yang

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie
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