Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 39: Superconductivity: (General) Theory
TT 39.13: Talk
Wednesday, March 22, 2017, 12:45–13:00, HSZ 103
Exploring the Efimov effect in conventional superconductors — •Ali Sanayei1, Pascal Naidon2, and Ludwig Mathey1 — 1Center for Optical Quantum Technologies, Institute for Laser Physics, University of Hamburg, Luruper Chaussee 149, D-22761 Hamburg — 2RIKEN Nishina Centre, RIKEN, Wako 351-0198, Japan
In this work, we explore the emergence of the Efimov effect in solid state physics. We consider a three-electron system in distinguishable states of (band 1, up), (band 2, up), and (band 2, down) in a solid. The electron in band 1 is located in an otherwise empty band and interacts through a spin-independent interaction with the two up- and down-electrons in band 2, both of which are immersed in a Fermi sea. Introducing a proper renormalization of the coupling constants, we derive a system of two coupled integral equations describing a three-electron eigenstate in momentum space. These equations support a trimer state solution of electrons, which is a demonstration of the Efimov effect in conventional superconductors.