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Superconductor

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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...
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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...
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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
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The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
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In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
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Holographic superconductor vortices.

Marc Montull1, Alex Pomarol, Pedro J Silva

  • 1Departament de Física and IFAE, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona. mmontull@ifae.es

Physical Review Letters
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

Researchers explored a gravity dual model of superconductors at finite temperatures. They analyzed vortex configurations, calculating key properties like free energy and magnetization to identify favorable conditions.

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Area of Science:

  • Condensed Matter Physics
  • High Energy Physics
  • Gravitational Physics

Background:

  • A recent theoretical proposal introduced a gravity dual for superconductors at finite temperatures.
  • Understanding the behavior of superconductors under external fields is crucial for both theoretical and practical applications.

Purpose of the Study:

  • To investigate the vortex configuration within the proposed gravity dual model of a superconductor.
  • To characterize the thermodynamic and electromagnetic properties of this superconducting system.

Main Methods:

  • Analysis of the vortex configuration in the gravity dual model.
  • Calculation of free energy as a function of external magnetic field.
  • Determination of magnetization and superconducting density.

Main Results:

  • The study presents the detailed vortex configuration for the gravity dual superconductor model.
  • Calculations revealed the free energy, magnetization, and superconducting density.
  • Two critical magnetic fields were identified, defining the stability region for vortex configurations.

Conclusions:

  • The vortex configuration in the gravity dual superconductor model is well-defined and calculable.
  • The identified critical magnetic fields delineate the parameter space where vortices are energetically favorable.
  • This work provides insights into the interplay between gravity and condensed matter phenomena.