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Related Concept Videos

Superconductor01:24

Superconductor

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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Types 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...
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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.
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The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Correlations between Majorana fermions through a superconductor.

A A Zyuzin1, Diego Rainis, Jelena Klinovaja

  • 1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.

Physical Review Letters
|August 20, 2013
PubMed
Summary

We explore Majorana-fermion (MF) bound states in topological superconductors. Our study reveals an additional energy splitting mechanism for these states through elastic tunneling, impacting MF states within and across wires.

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Area of Science:

  • Condensed Matter Physics
  • Topological Superconductivity
  • Spintronics

Background:

  • Topological superconducting states host Majorana-fermion (MF) bound states at their ends.
  • Previous research focused on direct overlap for MF state energy splitting.

Purpose of the Study:

  • To investigate an alternative mechanism for energy splitting of MF bound states.
  • To analyze hybridization of MF states via elastic tunneling through a superconductor.

Main Methods:

  • Theoretical modeling of a quasi-one-dimensional semiconducting wire on an s-wave superconductor.
  • Analysis of spin-orbit interaction and external magnetic field effects.
  • Quantum mechanical treatment of elastic tunneling through virtual quasiparticle states.

Main Results:

  • Demonstrated MF bound states in a topological superconducting wire.
  • Identified elastic tunneling via virtual quasiparticle states as a novel hybridization mechanism.
  • Showed this mechanism causes additional energy splitting for MF states within and between wires.

Conclusions:

  • Elastic tunneling provides a new pathway for MF state hybridization and energy splitting.
  • This finding expands understanding of topological superconductivity and MF properties.
  • Offers potential for novel quantum information processing applications.