Next Article in Journal
Time-Correlated Vortex Tunneling in Layered Superconductors
Previous Article in Journal
Analysis of the Efficient High-Temperature in Situ Photoluminescence from GaN Layers during Epitaxial Growth
Open AccessArticle

Electrodynamics of s-Wave Superconductors Using First-Order Formalism

Department of Physics, University of Sofia, Sofia 1164, Bulgaria
Academic Editor: Antonio Bianconi
Condens. Matter 2017, 2(2), 20;
Received: 8 May 2017 / Revised: 29 May 2017 / Accepted: 31 May 2017 / Published: 6 June 2017
In this paper we give a derivation of a system of equations which generalize the London brothers and Ginzburg–Landau systems 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 complex field. We use the first-order formalism to obtain the supplemented Maxwell equations for gauge-invariant electric, magnetic, four-vector fields and the modulus of the superconducting order parameter. The new four-vector field appears in some of the equations as a gauge-invariant super-current, and in other ones, while gauge invariant, as a four-vector electromagnetic potential. This dual contribution of the new four-vector field is the basis of the electrodynamics of superconductors. We focus on the system of equations with time-independent fields. The qualitative analysis shows that the applied magnetic field suppresses the superconductivity, while the applied electric field impacts oppositely, supporting it. Secondly, we consider time-dependent non-relativistic Ginzburg–Landau theory. View Full-Text
Keywords: electrodynamics; superconductivity; Maxwell equations electrodynamics; superconductivity; Maxwell equations
Show Figures

Figure 1

MDPI and ACS Style

Karchev, N. Electrodynamics of s-Wave Superconductors Using First-Order Formalism. Condens. Matter 2017, 2, 20.

AMA Style

Karchev N. Electrodynamics of s-Wave Superconductors Using First-Order Formalism. Condensed Matter. 2017; 2(2):20.

Chicago/Turabian Style

Karchev, Naoum. 2017. "Electrodynamics of s-Wave Superconductors Using First-Order Formalism" Condens. Matter 2, no. 2: 20.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop