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Superconductor01:24

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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Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
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Consider encountering a circuit in a steady state where all its inputs are sinusoidal, yet they do not all possess the same frequency. Such a circuit is not classified as an alternating current (AC) circuit, and consequently, its currents and voltages will not exhibit sinusoidal behavior. However, this circuit can be analyzed using the principle of superposition.
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Generalized Anderson's theorem for superconductors derived from topological insulators.

Lionel Andersen1, Aline Ramires2,3,4, Zhiwei Wang1

  • 1Physics Institute II, University of Cologne, 50937 Köln, Germany.

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Nodal superconductors are usually fragile against impurities, but Bi2Se3-based topological superconductors show unusual robustness. This study presents a theoretical framework explaining this protection, generalizing Anderson

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Nodal superconductors are typically sensitive to nonmagnetic impurities.
  • Recent observations show Bi2Se3-based topological superconductors resist disorder unexpectedly.

Purpose of the Study:

  • To develop a theoretical framework explaining the robustness of complex superconductors against disorder.
  • To generalize Anderson's theorem for superconductors with multiple internal degrees of freedom.

Main Methods:

  • Developed a theoretical framework based on superconducting fitness.
  • Generalized Anderson's theorem using the Born approximation.
  • Analyzed the Cu(PbSe)5(BiSe3)6 superconductor as an extreme example.

Main Results:

  • Provided a theoretical explanation for the unusual robustness of certain nodal superconductors.
  • Experimental data from thermal conductivity measurements confirmed the presence of nodes.
  • Observed scattering rates orders of magnitude larger than the superconducting energy gap.

Conclusions:

  • The generalized Anderson's theorem effectively protects nodal superconductors from strong scattering.
  • The Cu(PbSe)5(BiSe3)6 superconductor represents a unique case study for this phenomenon.