Related Experiment Video
Updated: May 31, 2026
06:53
Scanning SQUID Study of Vortex Manipulation by Local Contact
Published on: February 1, 2017
Vorticity and magnetic shielding in a type-II superconductor
Marco Cardoso1, Pedro Bicudo, Pedro D Sacramento
1Departamento de Física and CFIF, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal.
Summary
We investigated magnetic field effects in type-II superconductors using Bogoliubov-de Gennes equations. Results show vorticity dictates bound states and flux, confirming self-consistent connections between currents and superconductivity.
Area of Science:
- Condensed Matter Physics
- Superconductivity Theory
Background:
- Type-II superconductors exhibit complex behaviors under magnetic fields.
- Understanding the interplay between magnetic flux and superconducting states is crucial.
Purpose of the Study:
- To analyze magnetic field, supercurrent, and order parameter profiles in type-II superconductors.
- To investigate the influence of solenoids and magnetic whiskers on superconducting properties.
- To explore the relationship between vorticity, internal currents, and bound states.
Main Methods:
- Solving the Bogoliubov-de Gennes equations.
- Analyzing solutions with different vorticities (n).
- Considering limiting cases, such as infinitely thin solenoids (Dirac strings).
Main Results:
- Confirmed a self-consistent connection between vorticity, internal currents, and bound states.
- The number of bound states is determined by the gap function's phase vorticity.
- Quasiparticle spectrum and wavefunctions depend on the difference between internal and external vorticity (n - n(ext)).
- Superconducting flux is consistently determined by the gap function's vorticity.
Conclusions:
- Vorticity is a key parameter governing the behavior of type-II superconductors in magnetic fields.
- The study provides a self-consistent framework for understanding magnetic field penetration and bound states.
- Results offer insights into the fundamental properties of superconductivity and vortex dynamics.
More Related Videos
Related Concept Videos
01:28Types Of Superconductors
A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
01:24Superconductor
A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
01:14Diamagnetic Shielding of Nuclei: Local Diamagnetic Current
An applied magnetic field causes the electrons present in the molecule to circulate, setting up a local diamagnetic current within the molecule. The local diamagnetic current arising from circulating sigma-bonding electrons induces a magnetic field, Blocal that opposes the applied magnetic field, B0. The effective magnetic field experienced by these nuclei is given by the difference between the applied and local magnetic fields in a phenomenon called local diamagnetic shielding. Essentially,...
01:23Magnetic Field due to Moving Charges
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
01:28Magnetostatic Boundary Conditions
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
01:25Magnetic Force On A Current-Carrying Conductor
Moving charges experience a force in a magnetic field. Since the magnetic fields produced by moving charges are proportional to the current, a conductor carrying a current creates a magnetic field around it.
Consider a compass placed near a current-carrying wire. The wire experiences a force that aligns the needle of the compass tangentially around the wire. Thus, the current-carrying wire produces concentric circular loops of magnetic field. The magnetic field generated by a wire can be...
Consider a compass placed near a current-carrying wire. The wire experiences a force that aligns the needle of the compass tangentially around the wire. Thus, the current-carrying wire produces concentric circular loops of magnetic field. The magnetic field generated by a wire can be...