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

2000/12/01 by G. G. N. Angilella, N. H. March, R. Pucci
Earth and Planetary Sciences · Physics and Astronomy · #High-pressure geophysics and materials #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.62.13919

published as Phys. Rev. B 62, 13919 (2000)

openalex publication_date 2000/12/01 · arxiv created 2001/12/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For unconventional heavy fermion superconductors, typified by UBe₁₃, the superconducting transition temperatures T_c are shown to correlate with a characteristic energy \ensuremath\Elzxh²/(m^*\ensuremathξ²),m^* being the effective mass, and \ensuremathξ the coherence length. For four of the six materials for which T_c, m^*, and \ensuremathξ are available, k_BT_c\ensuremath∼20\ensuremath\Elzxh²/(m^*\ensuremathξ²). One heavy fermion material, UPd₂Al₃, reveals a tendency for the above linear behavior to saturate at substantially larger \ensuremath\Elzxh²/(m^*\ensuremathξ²) than for UBe₁₃. The sixth material considered, URu₂Si₂, falls between UBe₁₃ and UPd₂Al₃. To embrace d-wave pairing in cuprates, a log\ensuremath-log plot reveals that k_BT_c\ensuremath∼\ensuremath\Elzxh²/(m^*\ensuremathξ²), but more materials for which m^* and \ensuremathξ are measured will be required to substantiate the correlation in these high-T_c substances.

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