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Types Of Superconductors01:28

Types Of Superconductors

1.8K
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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Superconductor01:24

Superconductor

2.0K
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...
2.0K
Theory of Metallic Conduction01:17

Theory of Metallic Conduction

1.9K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
1.9K
Ferromagnetism01:31

Ferromagnetism

3.4K
Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
3.4K
Equipotential Surfaces and Conductors01:16

Equipotential Surfaces and Conductors

4.6K
For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to equipotential surfaces. Therefore, in a conductor with static charges, the electric field just outside the conductor is always perpendicular to the conductor's surface. Any tangential component of the electric field will cause charges to move inside the conductor, which will violate the electrostatic nature of the system. In an electrostatic...
4.6K
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

2.6K
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
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Related Experiment Video

Updated: Mar 18, 2026

Comparison of Two Different Synthesis Methods of Single Crystals of Superconducting Uranium Ditelluride
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Aperiodic Weak Topological Superconductors.

I C Fulga1, D I Pikulin2, T A Loring3

  • 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review Letters
|July 9, 2016
PubMed
Summary

Weak topological phases, typically requiring lattice symmetry, are now compatible with aperiodic systems like quasicrystals. A new real-space method characterizes these topological superconductors, robust against disorder.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Weak topological phases are conventionally understood through lattice translation symmetry and momentum-space characterizations.
  • Existing frameworks rely on periodicity, limiting their application to ordered crystalline systems.

Purpose of the Study:

  • To demonstrate the compatibility of weak topological phases with aperiodic systems, such as quasicrystals.
  • To introduce a novel real-space formulation for characterizing weak topological invariants.
  • To provide a method for analyzing topological protection robustness against disorder.

Main Methods:

  • Development of a real-space invariant based on the Clifford pseudospectrum.
  • Application of the invariant to characterize weak topological superconductors in aperiodic systems.
  • Analysis of the robustness of topological protection against disorder in finite-sized systems.

Main Results:

  • Established the compatibility of weak topological superconductors with aperiodic systems.
  • Introduced a real-space invariant (Clifford pseudospectrum) for weak topological phases.
  • Demonstrated that a nontrivial invariant indicates a disorder-robust bulk phase with edge-localized zero-energy modes.

Conclusions:

  • Weak topological phases can exist and be characterized in aperiodic systems.
  • The novel real-space method offers a direct and quantitative approach to analyze topological protection in disordered systems.
  • This work expands the scope of topological phases beyond traditional crystalline structures.