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We study the basic thermodynamic and electromagnetic properties of the superconductor described by the negative-$U$ Hubbard model (gap parameter $\Delta$, critical temperature $T_c$, London penetration depth $\lambda$, thermodynamic…

Superconductivity · Physics 2016-08-31 W. R. Czart , T. Kostyrko , S. Robaszkiewicz

An alternate set of equations to describe the electrodynamics of superconductors at a macroscopic level is proposed. These equations resemble equations originally proposed by the London brothers but later discarded by them. Unlike the…

Strongly Correlated Electrons · Physics 2009-11-10 J. E. Hirsch

We perform an experiment to test between two theories of the electrodynamics of superconductors: the standard London theory and an alternative proposed by J. E. Hirsch [Phys. Rev. B 69, 214515 (2004)]. The two alternatives give different…

Superconductivity · Physics 2016-09-19 Angelo Peronio , Franz J. Giessibl

An alternative form of London's electrodynamic theory of superconductors predicts that the electrostatic screening length is the same as the magnetic penetration depth. We argue that experiments performed to date do not rule out this…

Superconductivity · Physics 2015-01-20 J. E. Hirsch

The theory of hole superconductivity predicts that when a metal goes superconducting negative charge is expelled from its interior towards the surface. As a consequence the superconductor in its ground state is predicted to have a…

Superconductivity · Physics 2009-11-10 J. E. Hirsch

The London penetration depth, lambda{ab}(T), is reported for thin films of the electron-doped superconductor Pr{2-x}Ce{x}CuO{4-y} at three doping levels (x = 0.13, 0.15 and 0.17). Measurements down to 0.35 K were carried out using a tunnel…

Superconductivity · Physics 2007-05-23 A. Snezhko , R. Prozorov , D. D. Lawrie , R. W. Giannetta , J. Gauthier , J. Renaud , P. Fournier

We discuss the derivation of the electrodynamics of superconductors coupled to the electromagnetic field from a Lorentz-invariant bosonic model of Cooper pairs. Our results are obtained at zero temperature where, according to the third law…

Superconductivity · Physics 2024-06-27 Luca Salasnich

Fascination with the concept of superconducting (SC) {\it superfluid density} $\rho_s$ has persisted since the beginning of superconductivity theory, with numerical values of an actual density rarely provided. Over time $\rho_s$, addressed…

Superconductivity · Physics 2026-01-16 Warren E. Pickett

This paper provides an explicit formula for the approximate solution of the static London equations. These equations describe the currents and magnetic fields in a Type-I superconductor. We represent the magnetic field as a 2-form and the…

Analysis of PDEs · Mathematics 2025-03-12 Charles L. Epstein , Manas Rachh , Yuguan Wang

Recently, a surface superconductor-insulator transition has been predicted for a bulk superconductor in an electric field applied perpendicular to its surface. The related calculations were performed within a one-dimensional Hubbard model…

Superconductivity · Physics 2023-12-18 Yajiang Chen , Quanyong Zhu , Ming Zhang , Xiaobing Luo , A. A. Shanenko

A fundamental revision of superconductivity theory that resolves the supercurrent carrier mass contradiction (the standard theory predicts it to be the effective mass but the London moment measurement indicates it to be the free electron…

Superconductivity · Physics 2021-11-29 Hiroyasu Koizumi

Applying the London theory we study curved vortices produced by an external current near and parallel to the surface of a type II superconductor. By minimizing the energy functional we find the contour describing the hard core of the flux…

Superconductivity · Physics 2015-05-13 Eran Sela , Ian Affleck

The superfluid weight is an important observable of superconducting materials since it is related to the London penetration depth of the Meissner effect. It can be computed from the change in the grand potential (or free energy) in response…

Superconductivity · Physics 2022-11-22 Sebastiano Peotta

As discovered in the quantum Hall effect, a very effective way for strongly-repulsive electrons to minimize their potential energy is to aquire non-zero relative angular momentum. We pursue this mechanism for interacting two-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Matthew P. A. Fisher , Chetan Nayak

The superfluid density and superconducting gaps of superconducting RbFe_{2}As_{2} have been determined as a function of temperature, magnetic field and hydrostatic pressure by susceptibility and muon-spin spectroscopy measurements. From the…

Superconductivity · Physics 2012-11-26 Z. Shermadini , H. Luetkens , A. Maisuradze , R. Khasanov , Z. Bukowski , H. -H. Klauss , A. Amato

In a composite superconductor in uniform rotation, the London field strength at equilibrium is given by the usual expression B_L = 2m Omega/e; here m corresponds to the bare electron mass, although the effective mass m* can be different in…

Superconductivity · Physics 2007-05-23 G. Modanese

The in-plane London penetration depth, $\Delta\lambda(T)$, was measured using a tunnel diode resonator technique in single crystals of Ba$_{1-x}$K$_{x}$Fe$_{2}$As$_{2}$ with doping levels $x$ ranging from heavily underdoped, $x$=0.16…

We present a simple derivation of an expression for the superfluid density $ n_s \propto 1/\lambda^2 $ in superconductors with the tight binding energy dispersion. The derived expression is discussed in detail because of its distinction…

Superconductivity · Physics 2015-05-19 M. V. Eremin , I. A. Larionov , I. E. Lyubin

The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the Ginzburg-Landau theory to low temperatures is used to derive three Ginzburg-Landau equations - the Maxwell equation for the vector potential,…

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

From the outset of superconductivity research it was assumed that no electrostatic fields could exist inside superconductors, and this assumption was incorporated into conventional London electrodynamics. Yet the London brothers themselves…

Superconductivity · Physics 2012-07-06 J. E. Hirsch
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