Strong-Coupling Study of Interlayer Pairing in Bilayer Composite Fermion Metals

We study the T=0 Eliashberg equations for interlayer pairing in the composite fermion description of the ν=1/2+1/2 quantum Hall bilayer system. In this description, composite fermions are coupled to two bosonic gauge fields which, in addition to leading to a breakdown of Fermi liquid theory, mediate a singular attractive interaction and a less singular repulsive interaction in the interlayer Cooper channel. Our solution of the T=0 Eliashberg equations includes both these pairing and pair-breaking effects, along with self-energy effects. We compare our results with previous Eliashberg results which do not take self-energy effects into account [1], and results obtained using the RG [2,3]. The connection between the RG and Eliashberg frameworks is also studied through the local approximation introduced in [4]. In particular we carry out the local approximation explicitly and compare with our results obtained from the full Eliashberg equations.

[1] Z. Wang, I. Mandal, S.B. Chung, S. Chakravarty. Annals of Physics, Vol. 351, 727-738, (2014).
[2] I. Sodemann, I. Kimchi, C. Wang, and T. Senthil. PRB 95, 085135, (2017).
[3] A. Mesaros, M.J. Lawler, E.A. Kim. PRB 95,125127 (2017).
[4] H. Wang, S. Raghu, G. Torroba. PRB 95, 165137, (2017).