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Shortly after the Gor'kov microscopic derivation of the Ginzburg-Landau (GL) model via a small order parameter expansion in Bardeen-Cooper-Schrieffer theory of superconductivity, the derivation was carried to next-to-leading order in that…

Superconductivity · Physics 2021-12-08 Filipp N. Rybakov , Egor Babaev

Although the BCS theory of superconductivity is a well established theory, we have shown that the phenomenology predicted by this model is much richer than previously believed. By releasing the constraint that the attraction band is…

Superconductivity · Physics 2016-11-23 Dragos-Victor Anghel

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

We formulate a non-relativistic quantum field theory to model interactions between quantized electromagnetic fields and localized charge-current distributions. The electronic degrees of freedom are encoded in microscopic polarization and…

Atomic Physics · Physics 2023-04-05 Jason G. Kattan , J. E. Sipe

We consider weak-coupling superconductivity in the inversion- and rotation-symmetric system of two pseudospin $s=1$ low-energy fermions of opposite chirality. General contact interactions can lead to Cooper instabilities towards d-wave or…

Superconductivity · Physics 2021-12-21 Subrata Mandal , Igor F. Herbut

Applying the Ginzburg-Landau theory including frame dragging effects to the case of a rotating superconductor, we were able to express the absolute value of the gravitomagnetic field involved to explain the Cooper pair mass anomaly…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Tajmar , C. de Matos

We develop a self-consistent microscopic framework beyond mean-field theory for monolayer cuprate superconductivity. It couples fermionic quasiparticles with collective phase dynamics to treat the gap and superfluid stiffness. The phase…

Strongly Correlated Electrons · Physics 2026-03-13 F. Yang , Y. Shi , L. Q. Chen

We outline a microscopic approach to the superconducting fluctuations and pairing correlations in the attractive Hubbard model above Tc, using the functional integral method. A crossover from BCS superconductivity to Bose condensation of…

Superconductivity · Physics 2007-05-23 R. Micnas

This paper consists of three parts. In part I, we microscopically derive Ginzburg--Landau (GL) theory from BCS theory for translation-invariant systems in which multiple types of superconductivity may coexist. Our motivation are…

Mathematical Physics · Physics 2016-03-22 Rupert L. Frank , Marius Lemm

We analyze the evolution of superfluidity for nonzero orbital angular momentum channels from the Bardeen-Cooper-Schrieffer (BCS) to the Bose-Einstein condensation (BEC) limit in three dimensions. First, we analyze the low energy scattering…

Superconductivity · Physics 2009-11-11 M. Iskin , C. A. R. Sá de Melo

In most superconductors the transition to the superconducting state is driven by the binding of electrons into Cooper-pairs. The condensation of these pairs into a single, phase coherent, quantum state takes place concomitantly with their…

To capture the universal low-energy physics of metals within effective field theories, one has to generalize the usual notion of scale invariance and renormalizable field theory due to the presence of intrinsic scales (Fermi momenta). In…

Strongly Correlated Electrons · Physics 2023-02-16 Francisco Borges , Anton Borissov , Ashutosh Singh , Andres Schlief , Sung-Sik Lee

In the BCS theory of superconductivity, one assumes that all Cooper pairs have the same center of mass momentum. This is indeed enforced by self consistency, if the pairing interaction is momentum independent. Here, we show that for an…

Superconductivity · Physics 2010-05-18 Florian Loder , Arno P. Kampf , Thilo Kopp

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

We discuss the instability of uniform superconducting states that contain the pairing correlations belonging to the odd-frequency symmetry class. The instability originates from the paramagnetic response of odd-frequency Cooper pairs and is…

Superconductivity · Physics 2024-10-17 Takumi Sato , Shingo Kobayashi , Yasuhiro Asano

We point out that ferromagnetic superconductors with triplet pairing and strong spin-orbit coupling are even in the simplest case at least two-band superconductors. The Gor'kov type formalism for such superconductors is developed and the…

Superconductivity · Physics 2007-05-23 V. P. Mineev , T. Champel

The Gaussian fluctuations in slave-boson mean-field theory of $t-J$ model is analyzed in this paper in the low-doping regime where the superconducting to normal (pseudo-gap phase) transition is driven by vanishing of bose-condensation…

Superconductivity · Physics 2007-05-23 Ching-Kit Chan , Tai-Kai Ng

A free-energy minimization approach is used to address the secular & dynamical instabilities & the bifurcations along sequences of rotating, self-gravitating fluid and stellar systems. Our approach stems from the Landau-Ginzburg theory of…

Astrophysics · Physics 2009-10-22 D. M. Christodoulou , D. Kazanas , I. Shlosman , J. E. Tohline

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

In this Letter, the dynamic phase transitions of the time-dependent Ginzburg-Landau equations are analyzed using a newly developed dynamic transition theory and a new classification scheme of dynamics phase transitions. First, we…

Superconductivity · Physics 2007-10-30 Tian Ma , Shouhong Wang
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