Tc for non s-wave pairing superconductors correlated with coherence length and effective mass

Details Tc for non s-wave pairing superconductors correlated with coherence length and effective mass Tc for non s-wave pairing superconductors correlated with coherence length and effective mass

2001-12-20

arxiv.org/abs/cond-mat/0112396v1

Phys. Rev. B 62, 13919 (2000)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.62.13919

For unconventional heavy Fermion superconductors, typified by UBe_13, the superconducting transition temperatures Tc are shown to correlate with a characteristic energy hbar^2 /(m* xi^2), m* being the effective mass and xi the coherence length. For four of the six materials for which Tc, m* and xi are available, kB Tc ~ 20 hbar^2 / (m* xi^2). One heavy Fermion material, UPd_2Al_3, reveals a tendency for the above linear behaviour to saturate at substantially larger hbar^2 / (m* xi^2) than for UBe_13. The sixth material considered, URu_2Si_2, falls between UBe_13 and UPd_2Al_3. To embrace d-wave pairing in cuprates, a log-log plot reveals that kB Tc ~ hbar^2 / (m* xi^2), but more materials for which m* and xi are measured will be required to substantiate the correlation in these high-Tc substances.

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