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Rutgers relation for the analysis of superfluid density in superconductors

H. Kim, V. G. Kogan, K. Cho, M. A. Tanatar, R. Prozorov

DOI 10.1103/PhysRevB.87.214518 · Physical Review B

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Abstract

It is shown that the thermodynamic Rutgers relation for the second-order phase transitions can be used for the analysis of the superfluid density data irrespective of complexities of the Fermi surface, structure of the superconducting gap, pairing strength, or scattering. The only limitation is that critical fluctuations should be weak so that the mean-field theory of the second-order phase transitions is applicable. By using the Rutgers relation, the zero-temperature value of the London penetration depth λ(0) is related to the specific heat jump ΔC and the slope of upper critical field dHc2/dT at the transition temperature Tc, provided the data on Δλ=λ(T)−λ(0) are available in a broad temperature domain. We then provide a way to determine λ(0), the quantity difficult to determine within many techniques.

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FormulaReported Tc (K)Pressure (GPa)Type
Nb

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9.3Pressure not reportedunknown
MgB2

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39Pressure not reportedunknown
SrPd2Ge2

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—Pressure not reportedunknown
LiFeAs

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15.4Pressure not reportedunknown
FeTe0.58Se0.42

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14Pressure not reportedunknown
YBa2Cu3O7-δ

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23Pressure not reportedunknown
MgCNi3

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7Pressure not reportedunknown

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