What effect would one expect if the Critical Temperature is

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SUMMARY

The discussion centers on the measurement of Critical Temperature (Tc) in superconductors when subjected to a magnetic field from a functioning electromagnet. Key factors influencing the measurement include the type of superconductor (Type I or Type II), the method of measurement (resistive or inductive), and the geometry of the setup. Type I superconductors exhibit a clear transition at the critical magnetic field (Bc), while Type II superconductors show more complex behavior due to vortex formation and field dependence. The discussion emphasizes that the effects on Tc measurement are not straightforward and vary significantly based on experimental conditions.

PREREQUISITES
  • Understanding of superconductivity concepts, including Critical Temperature (Tc), Critical Current Density, and Critical Magnetic Field.
  • Familiarity with Type I and Type II superconductors and their properties.
  • Knowledge of measurement techniques, specifically resistive and inductive measurements.
  • Basic principles of electromagnetism and magnetic field effects on materials.
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  • Research the differences between Type I and Type II superconductors in detail.
  • Learn about resistive measurement techniques in superconductivity experiments.
  • Investigate the effects of magnetic fields on superconductors, particularly in quasi-2D materials.
  • Explore the implications of geometry on superconducting properties and measurements.
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Physicists, materials scientists, and engineers involved in superconductivity research, particularly those interested in experimental measurements and the effects of magnetic fields on superconductors.

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The measurement of electrical resistance as a function of the superconductor's temperature yields fundamental insights into its properties. The Critical Temperature, Critical Current Density, and the Critical Magnetic Field, can all be obtained through variations of a basic experiment.

I would like to ask you. What effect would one expect if the Critical Temperature is measured with the device placed inside a functioning electromagnet?

Thanks for your help.
 
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It will depend on a number of factors and also how you measure Tc (resistive or inductive measurement).
Also, are you thinking of a type I or type II superconductor?
 
both of them. Type one and two. Resistive measurement.
 
In type II it gets complicated since it will depend on lots of factors since the width of the transitions can depend on if and where vortices are formed (in a narrow strip you can get some DC resistance because of flux, even for quite small fields): : the strength of the field relative to Bc1 and Bc2, geometry etc. Experimentally this means that the width/shape of the transition canl be field dependent, up to the point where you exceed Bc2 and the whole thing goes normal (although when that happens will also depend on geometry)..

Type I is easier to understand since it will basically exclude the field until you exceed Bc, although in a real experiment .this will also depend a bit on geometry (both because there can be local variations in Tc, and because of flux focusing). However, for bulk it is fairly easy to understand (although most resistive measurements will be done on thin films where the aforementioned factors will come into play).
 
so what effect would one expect if the Critical Temperature is measured with the device placed inside a functioning electromagnet?
 
I thought I explained that above. It will depend on several factors, so there is no simple answer to that question.
It is only "easy" for a bulk type I superconductor, but the details of what you would actually measure with a resistive measurement can still get quite messy.

There are even some exotic superconductors (quasi-2D) where the critical temperature goes up if you apply a magnetic field.

Also, what do you mean by "functioning electromagnet"? How the field is generated is irrelevant; only the strength (and for some geometries the direction) of the magnetic field is relevant.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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