Distant-neighbor hopping induced the Dirac points and the high Chern number topological phase on π -flux square lattice

2015 ◽  
Vol 379 (42) ◽  
pp. 2783-2788
Author(s):  
Yi-Xiang Wang ◽  
Jie Cao ◽  
Ya-Min Wu
Keyword(s):  
Chern Number ◽  
Square Lattice ◽  
Topological Phase ◽  
Distant Neighbor

scholarly journals Erratum: Tuning ferromagnetic BaFe2(PO4)2 through a high Chern number topological phase [Phys. Rev. B 94 , 125134 (2016)]

2017 ◽  
Vol 96 (7) ◽  
Author(s):  
Young-Joon Song ◽  
Kyo-Hoon Ahn ◽  
Warren E. Pickett ◽  
Kwan-Woo Lee
Keyword(s):  
Chern Number ◽  
Topological Phase

Quantum anomalous Hall effect on a square lattice with spin–orbit couplings and an exchange field

2014 ◽  
Vol 92 (5) ◽  
pp. 420-424 ◽  
Author(s):  
Xiaoyong Guo ◽  
Xiaobin Ren ◽  
Guangjie Guo ◽  
Jie Peng
Keyword(s):  
Tight Binding ◽  
Chern Number ◽  
Orbit Coupling ◽  
Square Lattice ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Exchange Field ◽  
Edge States ◽  
Binding Model ◽  
Spatial Direction

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.

scholarly journals Nontrivial topological phase with a zero Chern number

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
H. C. Wu ◽  
L. Jin ◽  
Z. Song
Keyword(s):  
Chern Number ◽  
Topological Phase

scholarly journals Topological phase in plasma physics

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Jeffrey B. Parker
Keyword(s):  
Plasma Physics ◽  
Cold Plasma ◽  
Berry Phase ◽  
Condensed Matter ◽  
Chern Number ◽  
Topological Phase ◽  
Berry Curvature ◽  
Boundary Correspondence ◽  
Magnetized Cold Plasma ◽  
Theoretical Developments

Recent discoveries have demonstrated that matter can be distinguished on the basis of topological considerations, giving rise to the concept of topological phase. Introduced originally in condensed matter physics, the physics of topological phase can also be fruitfully applied to plasmas. Here, the theory of topological phase is introduced, including a discussion of Berry phase, Berry connection, Berry curvature and Chern number. One of the clear physical manifestations of topological phase is the bulk-boundary correspondence, the existence of localized unidirectional modes at the interface between topologically distinct phases. These concepts are illustrated through examples, including the simple magnetized cold plasma. An outlook is provided for future theoretical developments and possible applications.

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