Asymmetric response of magnetic impurity in Bernal-stacked bilayer honeycomb lattice*

Project supported by the National Natural Science Foundation of China (Grant No. 11604166), the Zhejiang Open Foundation of the Most Important Subjects, China (Grant No. xkzw11609), and the K. C. Wong Magna Fund in Ningbo University, China.

Sun Jin-Hua1, †, Tang Ho-Kin2
       

(color online) Schematics of a BHL with Bernal stacking. (a) t is the in-plane nearest-neighbor hopping energy, and is used as the energy unit. A1 (A2) is the sublattice containing the dimer sites with hopping energy t1 in layer 1 (layer 2), while B1 (B2) is the sublattice containing the non-dimer sites with trigonal hopping energy t3 in layer 1 (layer 2). “Case A” represents that the magnetic impurity is coupled to a site on sublattice A1, while “case B” represents the coupling with a site on sublattice B1. (b) Top view of the Bernal-stacked BHL.