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Meissner effect distinguishes type I and II

Short answer

Type-I superconductors exhibit complete Meissner effect up to Hc; magnetization -M rises linearly then drops sharply. Type-II superconductors show perfect expulsion only up to Hc1; between Hc1 and Hc2 flux enters as vortices and -M decreases gradually. This magnetization curve distinguishes the two types.

How does Meissner effect help to differentiate superconductor as type-I and type-II? Explain in brief.

The Meissner effect (expulsion of flux, B=0B = 0 inside, M=−HM = -H) behaves differently in the two classes of superconductors. Plotting magnetization −M-M against applied field HH separates them clearly.

Type-I (soft) superconductors

  • Show a complete Meissner effect right up to the critical field HcH_c: −M-M rises linearly with HH (perfect diamagnetism).
  • At H=HcH = H_c the flux enters all at once, MM drops sharply to zero and the material becomes normal.
  • HcH_c is low (about 0.01 to 0.2 T). Examples: Pb, Hg, Sn, Al.

Type-II (hard) superconductors

  • Show a complete Meissner effect only up to the lower critical field Hc1H_{c1}.
  • Between Hc1H_{c1} and Hc2H_{c2} flux partly enters as quantized vortices, so the Meissner effect is incomplete (mixed or vortex state). −M-M falls gradually.
  • At the upper critical field Hc2H_{c2}, M=0M = 0 and the material is normal. Hc2H_{c2} can be tens of tesla. Examples: NbTi, Nb3_3Sn, YBCO.
 -M                         -M
  |    /|                    |   /\
  |   / |                    |  /  \
  |  /  |                    | /    \_
  | /   |                    |/       \__
  |/    |____ H              +----|------|--- H
  0    Hc                    0   Hc1    Hc2
   Type-I                     Type-II
PointType-IType-II
Meissner effectComplete up to HcH_cComplete only below Hc1H_{c1}
Change at critical fieldAbruptGradual
Critical fieldsOne (HcH_c)Two (Hc1H_{c1}, Hc2H_{c2})
Mixed stateAbsentPresent

So by measuring how MM varies with HH, a sharp drop identifies type-I and a gradual fall over a range identifies type-II.

✓ Answer checked by Claude Opus 5.5 (high effort)

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