24-27 November 2022
Karlsruhe Institute of Technology
Europe/Berlin timezone

Quantum critical Eliashberg theory in a finite dimensional SYK model

25 Nov 2022, 09:45
401 (KIT Campus North)


KIT Campus North

KIT Campus map: https://www.kit.edu/campusplan/ Building: 401 Room: 410 Address: Leopoldshafener Allee, Building 401 Coordinates: 49.09422, 8.43069


Veronika Stangier (KITI)


We present a model of superconductivity in a higher dimensional generalization of the Sachdev-Ye-Kitaev model. In the normal state this model features a critical phase in (1+1) dimensions and a quantum phase transition in (2+1) dimensions. For (2+1) dimensions the superconductivity emerges around the quantum critical point. We derive the Eliashberg equations of superconductivity from the saddle point equations of the field theory in the limit of a large number of degrees of freedom. Finally we analyse the effect of pair-breaking and tuning of the boson to fermion flavour ratio on the superconducting phase.

Category Solid State (Theory)

Primary authors

Veronika Stangier (KITI) Jörg Schmalian (KIT)

Presentation Materials

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