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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 9: Theoretical Aspects of Condensed Matter II
MP 9.3: Talk
Wednesday, March 20, 2024, 10:10–10:30, HL 102
Rigorous Bounds on Tc in the Eliashberg Theory of Superconductivity — •Michael Kiessling1, Boris Altshuler2, and Emil Yuzbashyan3 — 1Rutgers University, Dept. of Mathematics — 2Columbia University, Dept. of Physics — 3Rutgers University, Dept. of Physics and Astronomy
The BCS theory of superconductivity uses Tc as empirical input. By contrast, the Eliashberg theory allows one to compute Tc in principle. In this talk rigorous lower and upper bounds are presented explicitly for (a) the realization of the theory with dispersionless phonons, and (b) the so-called gamma-model. For small phonon frequencies in model (a) the lower bound agrees to three significant digits with previously established numerical results. Upper and lower bounds for model (b) converge to each other when gamma goes to infinity.
Keywords: Mathematical Physics; Rigorous Bounds; Superconductivity; Eliashberg Theory