Asymmetric response of magnetic impurity in Bernal-stacked bilayer honeycomb lattice<xref rid="cpb_27_7_077502_fn1" ref-type="fn">*</xref><fn id="cpb_27_7_077502_fn1"> <label>*</label><p>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.</p></fn>

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-Hua^{1, †}, Tang Ho-Kin²

(color online) (a) The charge–charge correlation C_i and (b) the spin–spin correlation S_i versus site i. i is along a zigzag direction in layer 1 of the BHL, and the impurity is located on top of site i = 0. Insets (a₁) and (a₂): details of C₀ and C₁. Insets (b₁) and (b₂): details of S₀ and S₁. In inset (b₃), the sites along the red dashed (blue dotted) zigzag lines indicate the sites we consider for “case A” (“case B”), where the blue (red) circles represent the sites in sublattice A (B) in layer 1. The values of the parameters are chosen as V = 1.0t, U = 0.8t, ε_d = −U/2, and β = 1/T = 40t⁻¹.