Magneto-optical response in the arbitrary-Chern number topological phase on square lattice

2016 ◽  
Vol 380 (29-30) ◽  
pp. 2312-2316 ◽  
Author(s):  
Yi-Xiang Wang
2017 ◽  
Vol 96 (7) ◽  
Author(s):  
Young-Joon Song ◽  
Kyo-Hoon Ahn ◽  
Warren E. Pickett ◽  
Kwan-Woo Lee

2014 ◽  
Vol 92 (5) ◽  
pp. 420-424 ◽  
Author(s):  
Xiaoyong Guo ◽  
Xiaobin Ren ◽  
Guangjie Guo ◽  
Jie Peng

We investigate a tight-binding model on a two-dimensional square lattice with three terms: the Rashba spin–orbit coupling, the real amplitude next-nearest spin–orbit coupling, and an exchange field. We calculate the first Chern number to identify band topology. It is found that the Chern number takes the quantized values of C1 = 1, 2 and the chiral edge modes can be obtained. Therefore our model realizes the quantum anomalous Hall (QAH) effect. The Rashba coupling is positive for the QAH phase while the next-nearest coupling is detrimental to it. By increasing the exchange field intensity, the Chern number changes from quantized value 2 to 0. The behavior of the edge states is also studied. Particularly for C1 = 2 case, there are two gapless spin-polarized edge states with the same spin polarization moving in the same spatial direction. This indicates that their appearance is topological rather than accidental.


Author(s):  
Pablo Rodriguez-Lopez ◽  
Wilton J. M. Kort-Kamp ◽  
Diego A. R. Dalvit ◽  
Lilia M. Woods

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
H. C. Wu ◽  
L. Jin ◽  
Z. Song

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