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Institute for Condensed Matter Theory Seminar: Are there bounds on the superconducting transition temperature?

Event Type
Seminar/Symposium
Sponsor
The Institute for Condensed Matter Theory
Location
190 ESB
Date
Sep 19, 2022   12:00 pm  
Speaker
Mohit Randeria, Ohio State University
Contact
Janice Benner
E-Mail
jbenner@illinois.edu
Views
67
Originating Calendar
Physics - Institute for Condensed Matter Theory Seminar

Understanding limits on the superconducting transition temperature Tc is a question of fundamental and practical importance. I will begin by describing quantum materials and ultracold atoms experiments that challenge conventional wisdom on what controls Tc. I will present exact upper bounds [1] on the superfluid stiffness, which in turn lead to bounds on the BKT Tc in 2D independent of pairing strength or mechanism. The bound takes a particularly simple form for parabolic dispersion in 2D – Tc cannot exceed one-eighth the Fermi temperature – which has been realized in recent experiments [2].  I will next describe results for multi-band systems with complex band structures and discuss applications to 2D superconducting materials including monolayer FeSe/STO and twisted bilayer graphene. I will then describe progress on topological flat bands, where the Tc bound [3] involves the quantum geometry of electronic wave functions. I will conclude by describing the challenges in deriving bounds on Tc in 3D, which remains an open problem.

 

[1] T. Hazra, N. Verma, M. Randeria, Phys. Rev. X 9, 031049 (2019) 

[2] Y. Nakagawa et al., Science 372, 190 (2021) 

[3] N. Verma, T. Hazra, M. Randeria, Proc. Nat. Acad. Sci. 118, e2106744118 (2021)

 

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