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

G. G. N. Angilella; N. H. March; R. Pucci

doi:10.1103/PhysRevB.62.13919

← Back to search

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

G. G. N. Angilella, N. H. March, R. Pucci

DOI 10.1103/PhysRevB.62.13919 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

For unconventional heavy fermion superconductors, typified by UBe13, the superconducting transition temperatures Tc are shown to correlate with a characteristic energy ħ2/(m*ξ2),m* being the effective mass, and ξ the coherence length. For four of the six materials for which Tc, m*, and ξ are available, kBTc∼20ħ2/(m*ξ2). One heavy fermion material, UPd2Al3, reveals a tendency for the above linear behavior to saturate at substantially larger ħ2/(m*ξ2) than for UBe13. The sixth material considered, URu2Si2, falls between UBe13 and UPd2Al3. To embrace d-wave pairing in cuprates, a log−log plot reveals that kBTc∼ħ2/(m*ξ2), but more materials for which m* and ξ are measured will be required to substantiate the correlation in these high-Tc substances.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
UPt3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	0.55	Pressure not reported	unknown
UBe13 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	0.9	Pressure not reported	unknown
UNi2Al3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	1	Pressure not reported	unknown
UPd2Al3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	2	Pressure not reported	unknown
URu2Si2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	1.2	Pressure not reported	unknown
CeCu2Si2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	0.7	Pressure not reported	unknown