Superconductivity near a quantum critical point in the extreme retardation regime
Emil A. Yuzbashyan, Michael K.-H. Kiessling, Boris L. Altshuler
DOI 10.1103/PhysRevB.106.064502 · Physical Review B
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Abstract
We study fermions at quantum criticality with extremely retarded interactions of the form V(ωl)=(g/|ωl|)γ, where ωl is the transferred Matsubara frequency. This system undergoes a normal-superconductor phase transition at a critical temperature T=Tc. The order parameter is the frequency-dependent gap function Δ(ωn) as in the Eliashberg theory. In general, the interaction is extremely retarded for γ≫1, except at low temperatures γ>3 is sufficient. We evaluate the normal state specific heat Tc, the jump in the specific heat Δ(ωn) near Tc, and the Landau free energy. Our answers are asymptotically exact in the limit γ→∞. At low temperatures, we prove that the global minimum of the free energy is nondegenerate and determine the order parameter, the free energy, and the specific heat. These answers are exact for T→0 and γ>3. We also uncover and investigate an instability of the γ model: Negative specific heat at T→0 and just above Tc.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| CeCu6-xAux Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| YbRh2Si2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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