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We provide the detailed calculation of a general form for Maxwell and London equations that takes into account gravitational corrections in linear approximation. We determine the possible alteration of a static gravitational field in a…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Giovanni Alberto Ummarino , Antonio Gallerati

We estimate the conjectured interaction between the Earth gravitational field and a superconductor immersed in external, static electric and magnetic field. The latter is close to the sample upper critical field and generates the presence…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Giovanni Ummarino , Antonio Gallerati

We consider the interaction between the Earth's gravitational field and a superconductor in the fluctuation regime. Exploiting the weak field expansion formalism and using time dependent Ginzburg-Landau formulation, we show a possible…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Antonio Gallerati

We review and discuss some recent developments on the unconventional interaction between superconducting systems and the local gravitational field. While it is known that gravitational perturbations (such as gravitational waves) can affect…

General Relativity and Quantum Cosmology · Physics 2022-03-18 Antonio Gallerati , Giovanni Ummarino

We study the behaviour of a superconductor in a weak static gravitational field for temperatures slightly greater than its transition temperature (fluctuation regime). Making use of the time-dependent Ginzburg-Landau equations, we find a…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Giovanni Alberto Ummarino , Antonio Gallerati

In this paper I calculate the possible alteration of the gravitational field in a superconductor by using the time-dependent Ginzburg-Landau equations (TDGL). I compare the behaviour of a high-Tc superconductor (HTCS) like YBa_2Cu_3O_7…

Superconductivity · Physics 2007-05-23 G. A. Ummarino

We study the local interaction of the gravitational field with a superfluid condensate. To this end, we exploit the Ginzburg-Landau formalism with generalized Maxwell fields. The analysis shows that a slight local alteration of the…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Giovanni A. Ummarino , Antonio Gallerati

We extend the superconductor's free energy to include an interaction of the order parameter with the curvature of space-time. This interaction leads to geometry dependent coherence length and Ginzburg-Landau parameter which suggests that…

General Physics · Physics 2017-06-29 Victor Atanasov

In this paper we examine the possibility of a Josephson AC effect between two superconductors induced by the Earth's gravitational field, making use of the gravito-Maxwell formalism. The theoretical framework exploits the symmetry between…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Giovanni Alberto Ummarino , Antonio Gallerati

We review experiments and theoretical models about the possible mutual interplay between the gravitational field and materials in the superconducting state or other macroscopic quantum states. More generally, we focus on the possibility for…

General Relativity and Quantum Cosmology · Physics 2022-07-01 Antonio Gallerati , Giovanni Modanese , Giovanni Ummarino

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

The manifestly Lorentz covariant Landau-Ginzburg equations coupled to Maxwell's equations are considered as a possible framework for the effective description of the interactions between low temperature superconductors and magnetic as well…

Superconductivity · Physics 2009-10-31 Jan Govaerts , Damien Bertrand , Geoffrey Stenuit

The Meissner effect for superconductors in spacetimes with torsion is revisited. Two new physical interpretations are presented. The first considers the Landau-Ginzburg theory yields a new symmetry-breaking vacuum depending on torsion. In…

Condensed Matter · Physics 2016-08-31 L. C. Garcia de Andrade

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a $Z_2$…

Strongly Correlated Electrons · Physics 2011-07-29 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

In this paper we give a derivation of a system of equations to describe the electrodynamics of s-wave superconductors. First, we consider a relativistically covariant theory in terms of gauge four-vector electromagnetic potential and scalar…

Superconductivity · Physics 2017-06-20 Naoum Karchev

It is well known that a covariant Lagrangian for relativistic charged particles can lead to a vanishing Hamiltonian. Alternatively, it is shown that using a "space+time" Lagrangian leads to a new canonical momentum and minimal coupling rule…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Nader Inan

The interaction, in the long--wavelength approximation, of normal and superconducting electromagnetic circuits with gravitational waves is investigated. We show that such interaction takes place by modifying the physical parameters R, L, C…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pierluigi Fortini , Enrico Montanari , Antonello Ortolan , Gerhard Schaefer

The influence of a magnetic field on superconductivity is usually described either phenomenologically, using Ginzburg-Landau theory, or semiclassically using Gor'kov theory. In this article we discuss the influence of magnetic fields on the…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , Hiroshi Akera , M. R. Norman

We examine a possible effect of the Lense--Thirring field or gravitational drag by calculating the fluctuation current through a superconducting ring. The gravitational drag is induced by a rotating sphere, on top of which the…

Superconductivity · Physics 2018-01-23 Satoshi Tsuchida , Hiroshi Kuratsuji

Several field theoretical approaches to the superconducting phase transition are discussed. Emphasis is given to theories of scaling and renormalization group in the context of the Ginzburg-Landau theory and its variants. Also discussed is…

Superconductivity · Physics 2016-11-23 Flavio S. Nogueira , Hagen Kleinert
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