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Related Concept Videos

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Types Of Superconductors

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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 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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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Fermi Level

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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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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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Phase fluctuations in conventional superconductors.

Pratap Raychaudhuri1, Surajit Dutta1

  • 1Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|November 3, 2021
PubMed
Summary

Phase fluctuations, not just pairing energy, govern superconductivity in certain materials. This review explores experimental advances in understanding these critical phase fluctuations in conventional superconductors.

Keywords:
conventional superconductorsdisorder in superconductorsphase fluctuationssuperfluid stiffness

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Area of Science:

  • Condensed Matter Physics
  • Superconductivity

Background:

  • Bardeen-Cooper-Schrieffer (BCS) theory primarily focuses on the pairing energy scale (Δ) for superconductivity.
  • Superfluid phase stiffness (J) is typically orders of magnitude larger than Δ in conventional superconductors and often overlooked.

Purpose of the Study:

  • To review recent experimental developments in studying phase fluctuations in conventional superconductors.
  • To highlight situations where phase stiffness (J) becomes comparable to or smaller than the energy gap (Δ).

Main Methods:

  • Review of experimental findings on phase fluctuations.
  • Analysis of superconducting properties under varying temperature and magnetic fields.

Main Results:

  • Phase fluctuations significantly influence superconducting properties when J is comparable to or smaller than Δ.
  • Novel electronic states emerge where pairing signatures persist despite the loss of zero resistance.
  • Low carrier density, disorder, low dimensions, and granular structures can reduce J relative to Δ.

Conclusions:

  • Phase fluctuations play a crucial role in unconventional superconducting regimes.
  • Understanding phase stiffness is essential for comprehending superconductivity beyond standard BCS theory.
  • Experimental studies reveal the complex interplay between phase fluctuations and superconducting properties.