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Title: Antiferromagnetism and chiral d-wave superconductivity from an effective $t-J-D$ model for twisted bilayer graphene
Authors: Gu, Xingyu
Chen, Chuan 
Leaw, Jia Ning 
Laksono, Evan 
Pereira, Vitor M 
Vignale, Giovanni 
Adam, Shaffique 
Keywords: cond-mat.supr-con
Issue Date: 31-Jan-2019
Citation: Gu, Xingyu, Chen, Chuan, Leaw, Jia Ning, Laksono, Evan, Pereira, Vitor M, Vignale, Giovanni, Adam, Shaffique (2019-01-31). Antiferromagnetism and chiral d-wave superconductivity from an effective $t-J-D$ model for twisted bilayer graphene. ScholarBank@NUS Repository.
Abstract: Starting from the strong-coupling limit of an extended Hubbard model, we develop a spin-fermion theory to study the insulating phase and pairing symmetry of the superconducting phase in twisted bilayer graphene. Assuming that the insulating phase is an anti-ferromagnetic insulator, we show that fluctuations of the anti-ferromagnetic order in the conducting phase can mediate superconducting pairing. Using a self-consistent mean-field analysis, we find that the pairing wave function has a chiral d-wave symmetry. Consistent with this observation, we show explicitly the existence of chiral Majorana edge modes by diagonalizing our proposed Hamiltonian on a finite-sized system. These results establish twisted bilayer graphene as a promising platform to realize topological superconductivity.
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